TSTP Solution File: ALG060+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:05 EDT 2023
% Result : Theorem 13.39s 2.66s
% Output : Proof 106.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG060+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 04:04:17 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.20/1.51 Prover 4: Preprocessing ...
% 5.20/1.53 Prover 1: Preprocessing ...
% 5.20/1.55 Prover 0: Preprocessing ...
% 5.20/1.55 Prover 5: Preprocessing ...
% 5.20/1.55 Prover 2: Preprocessing ...
% 5.20/1.56 Prover 6: Preprocessing ...
% 5.95/1.58 Prover 3: Preprocessing ...
% 9.24/2.05 Prover 3: Constructing countermodel ...
% 9.24/2.05 Prover 1: Constructing countermodel ...
% 9.24/2.05 Prover 4: Constructing countermodel ...
% 9.24/2.10 Prover 0: Constructing countermodel ...
% 9.24/2.10 Prover 2: Constructing countermodel ...
% 10.01/2.14 Prover 6: Constructing countermodel ...
% 13.39/2.65 Prover 6: proved (2009ms)
% 13.39/2.65
% 13.39/2.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.39/2.66
% 13.39/2.66 Prover 3: stopped
% 13.39/2.66 Prover 2: stopped
% 13.39/2.66 Prover 0: stopped
% 14.09/2.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.09/2.67 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.09/2.67 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.09/2.67 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.09/2.69 Prover 5: Constructing countermodel ...
% 14.09/2.70 Prover 5: stopped
% 14.09/2.70 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.24/2.99 Prover 10: Preprocessing ...
% 16.24/3.01 Prover 7: Preprocessing ...
% 16.24/3.01 Prover 8: Preprocessing ...
% 16.24/3.04 Prover 13: Preprocessing ...
% 16.98/3.05 Prover 11: Preprocessing ...
% 17.80/3.18 Prover 8: Constructing countermodel ...
% 18.59/3.28 Prover 10: Constructing countermodel ...
% 18.59/3.29 Prover 13: Constructing countermodel ...
% 18.59/3.34 Prover 11: Constructing countermodel ...
% 18.59/3.35 Prover 7: Constructing countermodel ...
% 62.09/8.95 Prover 13: stopped
% 62.09/8.96 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 62.09/9.14 Prover 16: Preprocessing ...
% 65.05/9.39 Prover 16: Constructing countermodel ...
% 101.55/14.12 Prover 7: Found proof (size 96014)
% 101.55/14.12 Prover 7: proved (11383ms)
% 101.55/14.12 Prover 10: stopped
% 101.55/14.12 Prover 4: stopped
% 101.55/14.12 Prover 11: stopped
% 101.55/14.12 Prover 8: stopped
% 101.55/14.12 Prover 16: stopped
% 101.55/14.12 Prover 1: stopped
% 101.55/14.12
% 101.55/14.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.55/14.12
% 102.19/14.29 % SZS output start Proof for theBenchmark
% 102.29/14.29 Assumptions after simplification:
% 102.29/14.29 ---------------------------------
% 102.29/14.29
% 102.29/14.29 (ax1)
% 102.54/14.35 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 102.54/14.35 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 102.54/14.35 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 102.54/14.35 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 102.54/14.35 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 102.54/14.35 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 102.54/14.35 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 102.54/14.35 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 102.54/14.35 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 102.54/14.35 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 102.54/14.35 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 102.54/14.35 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 102.54/14.35 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 102.54/14.35 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 102.54/14.35 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 102.54/14.35 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 102.54/14.35 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 102.54/14.35 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 102.54/14.35 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 102.55/14.35 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 102.55/14.35 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 102.55/14.35 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 102.55/14.35 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 102.55/14.35 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 102.55/14.35 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 102.55/14.35 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 102.55/14.35 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 102.55/14.35 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 102.55/14.35 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 102.55/14.35 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 102.55/14.35 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 102.55/14.35 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 102.55/14.35 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 102.55/14.35 | v0 = e0))
% 102.55/14.35
% 102.55/14.35 (ax2)
% 102.55/14.36 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 102.55/14.36 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 102.55/14.36 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 102.55/14.36 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 102.55/14.36 unit = e0)
% 102.55/14.36
% 102.55/14.36 (ax3)
% 102.55/14.38 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 102.55/14.38 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 102.55/14.38 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 102.55/14.38 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 102.55/14.38 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 102.55/14.38 [v23: $i] : ? [v24: $i] : (((v24 = e4 & op(e4, e4) = e4) | (v23 = e4 & op(e4,
% 102.55/14.38 e3) = e4) | (v20 = e4 & op(e4, e2) = e4) | (v15 = e4 & op(e4, e1) =
% 102.55/14.38 e4) | (v8 = e4 & op(e4, e0) = e4)) & ((v24 = e4 & op(e4, e4) = e4) |
% 102.55/14.38 (v22 = e4 & op(e3, e4) = e4) | (v18 = e4 & op(e2, e4) = e4) | (v12 = e4 &
% 102.55/14.38 op(e1, e4) = e4) | (v4 = e4 & op(e0, e4) = e4)) & ((v24 = e3 & op(e4,
% 102.55/14.38 e4) = e3) | (v23 = e3 & op(e4, e3) = e3) | (v20 = e3 & op(e4, e2) =
% 102.55/14.38 e3) | (v15 = e3 & op(e4, e1) = e3) | (v8 = e3 & op(e4, e0) = e3)) &
% 102.55/14.38 ((v24 = e3 & op(e4, e4) = e3) | (v22 = e3 & op(e3, e4) = e3) | (v18 = e3 &
% 102.55/14.38 op(e2, e4) = e3) | (v12 = e3 & op(e1, e4) = e3) | (v4 = e3 & op(e0, e4)
% 102.55/14.38 = e3)) & ((v24 = e2 & op(e4, e4) = e2) | (v23 = e2 & op(e4, e3) = e2) |
% 102.55/14.38 (v20 = e2 & op(e4, e2) = e2) | (v15 = e2 & op(e4, e1) = e2) | (v8 = e2 &
% 102.55/14.38 op(e4, e0) = e2)) & ((v24 = e2 & op(e4, e4) = e2) | (v22 = e2 & op(e3,
% 102.55/14.38 e4) = e2) | (v18 = e2 & op(e2, e4) = e2) | (v12 = e2 & op(e1, e4) =
% 102.55/14.38 e2) | (v4 = e2 & op(e0, e4) = e2)) & ((v24 = e1 & op(e4, e4) = e1) |
% 102.55/14.38 (v23 = e1 & op(e4, e3) = e1) | (v20 = e1 & op(e4, e2) = e1) | (v15 = e1 &
% 102.55/14.38 op(e4, e1) = e1) | (v8 = e1 & op(e4, e0) = e1)) & ((v24 = e1 & op(e4,
% 102.55/14.38 e4) = e1) | (v22 = e1 & op(e3, e4) = e1) | (v18 = e1 & op(e2, e4) =
% 102.55/14.38 e1) | (v12 = e1 & op(e1, e4) = e1) | (v4 = e1 & op(e0, e4) = e1)) &
% 102.55/14.38 ((v24 = e0 & op(e4, e4) = e0) | (v23 = e0 & op(e4, e3) = e0) | (v20 = e0 &
% 102.55/14.38 op(e4, e2) = e0) | (v15 = e0 & op(e4, e1) = e0) | (v8 = e0 & op(e4, e0)
% 102.55/14.38 = e0)) & ((v24 = e0 & op(e4, e4) = e0) | (v22 = e0 & op(e3, e4) = e0) |
% 102.55/14.38 (v18 = e0 & op(e2, e4) = e0) | (v12 = e0 & op(e1, e4) = e0) | (v4 = e0 &
% 102.55/14.38 op(e0, e4) = e0)) & ((v23 = e4 & op(e4, e3) = e4) | (v21 = e4 & op(e3,
% 102.55/14.38 e3) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v11 = e4 & op(e1, e3) =
% 102.55/14.38 e4) | (v3 = e4 & op(e0, e3) = e4)) & ((v23 = e3 & op(e4, e3) = e3) |
% 102.55/14.38 (v21 = e3 & op(e3, e3) = e3) | (v17 = e3 & op(e2, e3) = e3) | (v11 = e3 &
% 102.55/14.38 op(e1, e3) = e3) | (v3 = e3 & op(e0, e3) = e3)) & ((v23 = e2 & op(e4,
% 102.55/14.38 e3) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v17 = e2 & op(e2, e3) =
% 102.55/14.38 e2) | (v11 = e2 & op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) &
% 102.55/14.38 ((v23 = e1 & op(e4, e3) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v17 = e1 &
% 102.55/14.38 op(e2, e3) = e1) | (v11 = e1 & op(e1, e3) = e1) | (v3 = e1 & op(e0, e3)
% 102.55/14.38 = e1)) & ((v23 = e0 & op(e4, e3) = e0) | (v21 = e0 & op(e3, e3) = e0) |
% 102.55/14.38 (v17 = e0 & op(e2, e3) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v3 = e0 &
% 102.55/14.38 op(e0, e3) = e0)) & ((v22 = e4 & op(e3, e4) = e4) | (v21 = e4 & op(e3,
% 102.55/14.38 e3) = e4) | (v19 = e4 & op(e3, e2) = e4) | (v14 = e4 & op(e3, e1) =
% 102.55/14.38 e4) | (v7 = e4 & op(e3, e0) = e4)) & ((v22 = e3 & op(e3, e4) = e3) |
% 102.55/14.38 (v21 = e3 & op(e3, e3) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v14 = e3 &
% 102.55/14.38 op(e3, e1) = e3) | (v7 = e3 & op(e3, e0) = e3)) & ((v22 = e2 & op(e3,
% 102.55/14.38 e4) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v19 = e2 & op(e3, e2) =
% 102.55/14.38 e2) | (v14 = e2 & op(e3, e1) = e2) | (v7 = e2 & op(e3, e0) = e2)) &
% 102.55/14.38 ((v22 = e1 & op(e3, e4) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v19 = e1 &
% 102.55/14.38 op(e3, e2) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v7 = e1 & op(e3, e0)
% 102.55/14.38 = e1)) & ((v22 = e0 & op(e3, e4) = e0) | (v21 = e0 & op(e3, e3) = e0) |
% 102.55/14.38 (v19 = e0 & op(e3, e2) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v7 = e0 &
% 102.55/14.38 op(e3, e0) = e0)) & ((v20 = e4 & op(e4, e2) = e4) | (v19 = e4 & op(e3,
% 102.55/14.38 e2) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v10 = e4 & op(e1, e2) =
% 102.55/14.38 e4) | (v2 = e4 & op(e0, e2) = e4)) & ((v20 = e3 & op(e4, e2) = e3) |
% 102.55/14.38 (v19 = e3 & op(e3, e2) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v10 = e3 &
% 102.55/14.38 op(e1, e2) = e3) | (v2 = e3 & op(e0, e2) = e3)) & ((v20 = e2 & op(e4,
% 102.55/14.38 e2) = e2) | (v19 = e2 & op(e3, e2) = e2) | (v16 = e2 & op(e2, e2) =
% 102.55/14.38 e2) | (v10 = e2 & op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) &
% 102.55/14.38 ((v20 = e1 & op(e4, e2) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v16 = e1 &
% 102.55/14.38 op(e2, e2) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v2 = e1 & op(e0, e2)
% 102.55/14.38 = e1)) & ((v20 = e0 & op(e4, e2) = e0) | (v19 = e0 & op(e3, e2) = e0) |
% 102.55/14.38 (v16 = e0 & op(e2, e2) = e0) | (v10 = e0 & op(e1, e2) = e0) | (v2 = e0 &
% 102.55/14.38 op(e0, e2) = e0)) & ((v18 = e4 & op(e2, e4) = e4) | (v17 = e4 & op(e2,
% 102.55/14.38 e3) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v13 = e4 & op(e2, e1) =
% 102.55/14.38 e4) | (v6 = e4 & op(e2, e0) = e4)) & ((v18 = e3 & op(e2, e4) = e3) |
% 102.55/14.38 (v17 = e3 & op(e2, e3) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v13 = e3 &
% 102.55/14.38 op(e2, e1) = e3) | (v6 = e3 & op(e2, e0) = e3)) & ((v18 = e2 & op(e2,
% 102.55/14.38 e4) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v16 = e2 & op(e2, e2) =
% 102.55/14.38 e2) | (v13 = e2 & op(e2, e1) = e2) | (v6 = e2 & op(e2, e0) = e2)) &
% 102.55/14.38 ((v18 = e1 & op(e2, e4) = e1) | (v17 = e1 & op(e2, e3) = e1) | (v16 = e1 &
% 102.55/14.38 op(e2, e2) = e1) | (v13 = e1 & op(e2, e1) = e1) | (v6 = e1 & op(e2, e0)
% 102.55/14.38 = e1)) & ((v18 = e0 & op(e2, e4) = e0) | (v17 = e0 & op(e2, e3) = e0) |
% 102.55/14.38 (v16 = e0 & op(e2, e2) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v6 = e0 &
% 102.55/14.38 op(e2, e0) = e0)) & ((v15 = e4 & op(e4, e1) = e4) | (v14 = e4 & op(e3,
% 102.55/14.38 e1) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v9 = e4 & op(e1, e1) = e4)
% 102.55/14.38 | (v1 = e4 & op(e0, e1) = e4)) & ((v15 = e3 & op(e4, e1) = e3) | (v14 = e3
% 102.55/14.38 & op(e3, e1) = e3) | (v13 = e3 & op(e2, e1) = e3) | (v9 = e3 & op(e1,
% 102.55/14.38 e1) = e3) | (v1 = e3 & op(e0, e1) = e3)) & ((v15 = e2 & op(e4, e1) =
% 102.55/14.38 e2) | (v14 = e2 & op(e3, e1) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v9
% 102.55/14.39 = e2 & op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v15 = e1 &
% 102.55/14.39 op(e4, e1) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v13 = e1 & op(e2, e1)
% 102.55/14.39 = e1) | (v9 = e1 & op(e1, e1) = e1) | (v1 = e1 & op(e0, e1) = e1)) &
% 102.55/14.39 ((v15 = e0 & op(e4, e1) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v13 = e0 &
% 102.55/14.39 op(e2, e1) = e0) | (v9 = e0 & op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) =
% 102.55/14.39 e0)) & ((v12 = e4 & op(e1, e4) = e4) | (v11 = e4 & op(e1, e3) = e4) |
% 102.55/14.39 (v10 = e4 & op(e1, e2) = e4) | (v9 = e4 & op(e1, e1) = e4) | (v5 = e4 &
% 102.55/14.39 op(e1, e0) = e4)) & ((v12 = e3 & op(e1, e4) = e3) | (v11 = e3 & op(e1,
% 102.55/14.39 e3) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v9 = e3 & op(e1, e1) = e3)
% 102.55/14.39 | (v5 = e3 & op(e1, e0) = e3)) & ((v12 = e2 & op(e1, e4) = e2) | (v11 = e2
% 102.55/14.39 & op(e1, e3) = e2) | (v10 = e2 & op(e1, e2) = e2) | (v9 = e2 & op(e1,
% 102.55/14.39 e1) = e2) | (v5 = e2 & op(e1, e0) = e2)) & ((v12 = e1 & op(e1, e4) =
% 102.55/14.39 e1) | (v11 = e1 & op(e1, e3) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v9
% 102.55/14.39 = e1 & op(e1, e1) = e1) | (v5 = e1 & op(e1, e0) = e1)) & ((v12 = e0 &
% 102.55/14.39 op(e1, e4) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v10 = e0 & op(e1, e2)
% 102.55/14.39 = e0) | (v9 = e0 & op(e1, e1) = e0) | (v5 = e0 & op(e1, e0) = e0)) &
% 102.55/14.39 ((v8 = e4 & op(e4, e0) = e4) | (v7 = e4 & op(e3, e0) = e4) | (v6 = e4 &
% 102.55/14.39 op(e2, e0) = e4) | (v5 = e4 & op(e1, e0) = e4) | (v0 = e4 & op(e0, e0) =
% 102.55/14.39 e4)) & ((v8 = e3 & op(e4, e0) = e3) | (v7 = e3 & op(e3, e0) = e3) | (v6
% 102.55/14.39 = e3 & op(e2, e0) = e3) | (v5 = e3 & op(e1, e0) = e3) | (v0 = e3 &
% 102.55/14.39 op(e0, e0) = e3)) & ((v8 = e2 & op(e4, e0) = e2) | (v7 = e2 & op(e3, e0)
% 102.55/14.39 = e2) | (v6 = e2 & op(e2, e0) = e2) | (v5 = e2 & op(e1, e0) = e2) | (v0
% 102.55/14.39 = e2 & op(e0, e0) = e2)) & ((v8 = e1 & op(e4, e0) = e1) | (v7 = e1 &
% 102.55/14.39 op(e3, e0) = e1) | (v6 = e1 & op(e2, e0) = e1) | (v5 = e1 & op(e1, e0) =
% 102.55/14.39 e1) | (v0 = e1 & op(e0, e0) = e1)) & ((v4 = e4 & op(e0, e4) = e4) | (v3
% 102.55/14.39 = e4 & op(e0, e3) = e4) | (v2 = e4 & op(e0, e2) = e4) | (v1 = e4 &
% 102.55/14.39 op(e0, e1) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v4 = e3 & op(e0, e4)
% 102.55/14.39 = e3) | (v3 = e3 & op(e0, e3) = e3) | (v2 = e3 & op(e0, e2) = e3) | (v1
% 102.55/14.39 = e3 & op(e0, e1) = e3) | (v0 = e3 & op(e0, e0) = e3)) & ((v4 = e2 &
% 102.55/14.39 op(e0, e4) = e2) | (v3 = e2 & op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) =
% 102.55/14.39 e2) | (v1 = e2 & op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v4
% 102.55/14.39 = e1 & op(e0, e4) = e1) | (v3 = e1 & op(e0, e3) = e1) | (v2 = e1 &
% 102.55/14.39 op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 & op(e0, e0) =
% 102.55/14.39 e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v8 = e0 & op(e4, e0) = e0) |
% 102.55/14.39 (v7 = e0 & op(e3, e0) = e0) | (v6 = e0 & op(e2, e0) = e0) | (v5 = e0 &
% 102.55/14.39 op(e1, e0) = e0)) & ((v4 = e0 & op(e0, e4) = e0) | (v3 = e0 & op(e0,
% 102.55/14.39 e3) = e0) | (v2 = e0 & op(e0, e2) = e0) | (v1 = e0 & op(e0, e1) =
% 102.55/14.39 e0)))))
% 102.55/14.39
% 102.55/14.39 (ax4)
% 102.55/14.39 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 102.55/14.39 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 102.55/14.39 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 102.55/14.39 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 102.55/14.39 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 102.55/14.39 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 102.55/14.39 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 =
% 102.55/14.39 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) &
% 102.55/14.39 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 =
% 102.55/14.39 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) &
% 102.55/14.39 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 =
% 102.55/14.39 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~
% 102.55/14.39 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 =
% 102.55/14.39 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) &
% 102.55/14.39 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 102.55/14.39 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) &
% 102.55/14.39 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 =
% 102.55/14.39 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) &
% 102.55/14.39 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 =
% 102.55/14.39 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) &
% 102.55/14.39 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 =
% 102.55/14.39 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~
% 102.55/14.39 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~
% 102.55/14.39 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~
% 102.55/14.39 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~
% 102.55/14.39 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~
% 102.55/14.39 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) &
% 102.55/14.39 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 102.55/14.39 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 102.55/14.39 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 102.55/14.39 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 102.55/14.39 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 102.55/14.39 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 102.55/14.39 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 102.55/14.39 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 102.55/14.39 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 102.55/14.39 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 102.55/14.39
% 102.55/14.40 (ax5)
% 102.55/14.40 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~
% 102.55/14.40 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4)
% 102.55/14.40 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 102.55/14.40
% 102.55/14.40 (ax6)
% 102.55/14.40 op(e4, e4) = e1 & op(e4, e1) = e3 & op(e3, e4) = e2 & op(e1, e4) = e0 & $i(e4)
% 102.55/14.40 & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 102.55/14.40
% 102.55/14.40 (co1)
% 102.79/14.41 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 102.79/14.41 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 102.79/14.41 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 102.79/14.41 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 102.79/14.41 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 102.79/14.41 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 102.79/14.41 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 102.79/14.41 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 102.79/14.41 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ?
% 102.79/14.41 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ?
% 102.79/14.41 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ?
% 102.79/14.41 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ?
% 102.79/14.41 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ?
% 102.79/14.41 [v63: $i] : ? [v64: $i] : (((v63 = e4 & ~ (v64 = e3) & ~ (v24 = v20) &
% 102.79/14.41 op(v24, e4) = v64 & op(v24, e3) = e4 & op(e4, e3) = v24 & op(e3, e4) =
% 102.79/14.41 v20 & $i(v64) & $i(v24) & $i(v20)) | (v61 = e4 & ~ (v62 = e2) & ~ (v23
% 102.79/14.41 = v16) & op(v23, e4) = v62 & op(v23, e2) = e4 & op(e4, e2) = v23 &
% 102.79/14.41 op(e2, e4) = v16 & $i(v62) & $i(v23) & $i(v16)) | (v59 = e4 & ~ (v60 =
% 102.79/14.41 e1) & ~ (v22 = v12) & op(v22, e4) = v60 & op(v22, e1) = e4 & op(e4,
% 102.79/14.41 e1) = v22 & op(e1, e4) = v12 & $i(v60) & $i(v22) & $i(v12)) | (v57 =
% 102.79/14.41 e4 & ~ (v58 = e0) & ~ (v21 = v8) & op(v21, e4) = v58 & op(v21, e0) =
% 102.79/14.41 e4 & op(e4, e0) = v21 & op(e0, e4) = v8 & $i(v58) & $i(v21) & $i(v8)) |
% 102.79/14.41 (v55 = e3 & ~ (v56 = e4) & ~ (v24 = v20) & op(v20, e4) = e3 & op(v20,
% 102.79/14.41 e3) = v56 & op(e4, e3) = v24 & op(e3, e4) = v20 & $i(v56) & $i(v24) &
% 102.79/14.41 $i(v20)) | (v53 = e3 & ~ (v54 = e2) & ~ (v19 = v15) & op(v19, e3) =
% 102.79/14.41 v54 & op(v19, e2) = e3 & op(e3, e2) = v19 & op(e2, e3) = v15 & $i(v54) &
% 102.79/14.41 $i(v19) & $i(v15)) | (v51 = e3 & ~ (v52 = e1) & ~ (v18 = v11) &
% 102.79/14.41 op(v18, e3) = v52 & op(v18, e1) = e3 & op(e3, e1) = v18 & op(e1, e3) =
% 102.79/14.41 v11 & $i(v52) & $i(v18) & $i(v11)) | (v49 = e3 & ~ (v50 = e0) & ~ (v17
% 102.79/14.41 = v6) & op(v17, e3) = v50 & op(v17, e0) = e3 & op(e3, e0) = v17 &
% 102.79/14.41 op(e0, e3) = v6 & $i(v50) & $i(v17) & $i(v6)) | (v47 = e2 & ~ (v48 =
% 102.79/14.41 e4) & ~ (v23 = v16) & op(v16, e4) = e2 & op(v16, e2) = v48 & op(e4,
% 102.79/14.41 e2) = v23 & op(e2, e4) = v16 & $i(v48) & $i(v23) & $i(v16)) | (v45 =
% 102.79/14.41 e2 & ~ (v46 = e3) & ~ (v19 = v15) & op(v15, e3) = e2 & op(v15, e2) =
% 102.79/14.41 v46 & op(e3, e2) = v19 & op(e2, e3) = v15 & $i(v46) & $i(v19) & $i(v15))
% 102.79/14.41 | (v43 = e2 & ~ (v44 = e1) & ~ (v14 = v10) & op(v14, e2) = v44 & op(v14,
% 102.79/14.41 e1) = e2 & op(e2, e1) = v14 & op(e1, e2) = v10 & $i(v44) & $i(v14) &
% 102.79/14.41 $i(v10)) | (v41 = e2 & ~ (v42 = e0) & ~ (v13 = v4) & op(v13, e2) = v42
% 102.79/14.41 & op(v13, e0) = e2 & op(e2, e0) = v13 & op(e0, e2) = v4 & $i(v42) &
% 102.79/14.41 $i(v13) & $i(v4)) | (v39 = e1 & ~ (v40 = e4) & ~ (v22 = v12) & op(v12,
% 102.79/14.41 e4) = e1 & op(v12, e1) = v40 & op(e4, e1) = v22 & op(e1, e4) = v12 &
% 102.79/14.41 $i(v40) & $i(v22) & $i(v12)) | (v37 = e1 & ~ (v38 = e3) & ~ (v18 =
% 102.79/14.41 v11) & op(v11, e3) = e1 & op(v11, e1) = v38 & op(e3, e1) = v18 &
% 102.79/14.41 op(e1, e3) = v11 & $i(v38) & $i(v18) & $i(v11)) | (v35 = e1 & ~ (v36 =
% 102.79/14.41 e2) & ~ (v14 = v10) & op(v10, e2) = e1 & op(v10, e1) = v36 & op(e2,
% 102.79/14.41 e1) = v14 & op(e1, e2) = v10 & $i(v36) & $i(v14) & $i(v10)) | (v33 =
% 102.79/14.41 e1 & ~ (v34 = e0) & ~ (v9 = v2) & op(v9, e1) = v34 & op(v9, e0) = e1 &
% 102.79/14.41 op(e1, e0) = v9 & op(e0, e1) = v2 & $i(v34) & $i(v9) & $i(v2)) | (v31 =
% 102.79/14.41 e0 & ~ (v32 = e4) & ~ (v21 = v8) & op(v8, e4) = e0 & op(v8, e0) = v32
% 102.79/14.41 & op(e4, e0) = v21 & op(e0, e4) = v8 & $i(v32) & $i(v21) & $i(v8)) |
% 102.79/14.41 (v29 = e0 & ~ (v30 = e3) & ~ (v17 = v6) & op(v6, e3) = e0 & op(v6, e0) =
% 102.79/14.41 v30 & op(e3, e0) = v17 & op(e0, e3) = v6 & $i(v30) & $i(v17) & $i(v6)) |
% 102.79/14.41 (v27 = e0 & ~ (v28 = e2) & ~ (v13 = v4) & op(v4, e2) = e0 & op(v4, e0) =
% 102.79/14.41 v28 & op(e2, e0) = v13 & op(e0, e2) = v4 & $i(v28) & $i(v13) & $i(v4)) |
% 102.79/14.41 (v25 = e0 & ~ (v26 = e1) & ~ (v9 = v2) & op(v2, e1) = e0 & op(v2, e0) =
% 102.79/14.41 v26 & op(e1, e0) = v9 & op(e0, e1) = v2 & $i(v26) & $i(v9) & $i(v2))) &
% 102.79/14.41 ((v7 = e3 & v5 = e4 & ~ (v24 = e4) & op(e4, e4) = e3 & op(e4, e3) = v24 &
% 102.79/14.41 op(e3, e3) = e4 & $i(v24)) | (v7 = e3 & v5 = e4 & ~ (v20 = e3) & op(e4,
% 102.79/14.41 e4) = e3 & op(e3, e4) = v20 & op(e3, e3) = e4 & $i(v20)) | (v7 = e2 &
% 102.79/14.41 v3 = e4 & ~ (v23 = e4) & op(e4, e4) = e2 & op(e4, e2) = v23 & op(e2,
% 102.79/14.41 e2) = e4 & $i(v23)) | (v7 = e2 & v3 = e4 & ~ (v16 = e2) & op(e4, e4)
% 102.79/14.41 = e2 & op(e2, e4) = v16 & op(e2, e2) = e4 & $i(v16)) | (v7 = e1 & v1 =
% 102.79/14.41 e4 & ~ (v22 = e4) & op(e4, e4) = e1 & op(e4, e1) = v22 & op(e1, e1) =
% 102.79/14.42 e4 & $i(v22)) | (v7 = e1 & v1 = e4 & ~ (v12 = e1) & op(e4, e4) = e1 &
% 102.79/14.42 op(e1, e4) = v12 & op(e1, e1) = e4 & $i(v12)) | (v7 = e0 & v0 = e4 & ~
% 102.79/14.42 (v21 = e4) & op(e4, e4) = e0 & op(e4, e0) = v21 & op(e0, e0) = e4 &
% 102.79/14.42 $i(v21)) | (v5 = e2 & v3 = e3 & ~ (v19 = e3) & op(e3, e3) = e2 & op(e3,
% 102.79/14.42 e2) = v19 & op(e2, e2) = e3 & $i(v19)) | (v5 = e2 & v3 = e3 & ~ (v15
% 102.79/14.42 = e2) & op(e3, e3) = e2 & op(e2, e3) = v15 & op(e2, e2) = e3 &
% 102.79/14.42 $i(v15)) | (v5 = e1 & v1 = e3 & ~ (v18 = e3) & op(e3, e3) = e1 & op(e3,
% 102.79/14.42 e1) = v18 & op(e1, e1) = e3 & $i(v18)) | (v5 = e1 & v1 = e3 & ~ (v11
% 102.79/14.42 = e1) & op(e3, e3) = e1 & op(e1, e3) = v11 & op(e1, e1) = e3 &
% 102.79/14.42 $i(v11)) | (v5 = e0 & v0 = e3 & ~ (v17 = e3) & op(e3, e3) = e0 & op(e3,
% 102.79/14.42 e0) = v17 & op(e0, e0) = e3 & $i(v17)) | (v3 = e1 & v1 = e2 & ~ (v14
% 102.79/14.42 = e2) & op(e2, e2) = e1 & op(e2, e1) = v14 & op(e1, e1) = e2 &
% 102.79/14.42 $i(v14)) | (v3 = e1 & v1 = e2 & ~ (v10 = e1) & op(e2, e2) = e1 & op(e1,
% 102.79/14.42 e2) = v10 & op(e1, e1) = e2 & $i(v10)) | (v3 = e0 & v0 = e2 & ~ (v13
% 102.79/14.42 = e2) & op(e2, e2) = e0 & op(e2, e0) = v13 & op(e0, e0) = e2 &
% 102.79/14.42 $i(v13)) | (op(e0, e0) = v0 & $i(v0) & ((v7 = e0 & v0 = e4 & ~ (v8 =
% 102.79/14.42 e0) & op(e4, e4) = e0 & op(e0, e4) = v8 & $i(v8)) | (v5 = e0 & v0
% 102.79/14.42 = e3 & ~ (v6 = e0) & op(e3, e3) = e0 & op(e0, e3) = v6 & $i(v6)) |
% 102.79/14.42 (v3 = e0 & v0 = e2 & ~ (v4 = e0) & op(e2, e2) = e0 & op(e0, e2) = v4
% 102.79/14.42 & $i(v4)) | (v1 = e0 & v0 = e1 & ~ (v9 = e1) & op(e1, e1) = e0 &
% 102.79/14.42 op(e1, e0) = v9 & $i(v9)) | (v1 = e0 & v0 = e1 & ~ (v2 = e0) &
% 102.79/14.42 op(e1, e1) = e0 & op(e0, e1) = v2 & $i(v2))))))
% 102.79/14.42
% 102.79/14.42 (function-axioms)
% 102.79/14.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 102.79/14.42 v2) = v1) | ~ (op(v3, v2) = v0))
% 102.79/14.42
% 102.79/14.42 Those formulas are unsatisfiable:
% 102.79/14.42 ---------------------------------
% 102.79/14.42
% 102.79/14.42 Begin of proof
% 102.79/14.42 |
% 102.79/14.42 | ALPHA: (ax1) implies:
% 102.79/14.43 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 102.79/14.43 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 102.79/14.43 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 102.79/14.43 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 102.79/14.43 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 102.79/14.43 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 102.79/14.43 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 102.79/14.43 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 102.79/14.43 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 102.79/14.43 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 102.79/14.43 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 102.79/14.43 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 102.79/14.43 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 102.79/14.43 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 102.79/14.43 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 102.79/14.43 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 102.79/14.43 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 102.79/14.43 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 102.79/14.43 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 102.79/14.43 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 102.79/14.43 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 102.79/14.43 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 102.79/14.43 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 102.79/14.43 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 102.79/14.43 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 102.79/14.43 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 102.79/14.43 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 102.79/14.43 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 102.79/14.43 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 102.79/14.43 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 102.79/14.43 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 102.79/14.43 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 102.79/14.43 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 102.79/14.43 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 102.79/14.43 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 102.79/14.43 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 102.79/14.43 |
% 102.79/14.43 | ALPHA: (ax2) implies:
% 102.79/14.43 | (2) op(e0, unit) = e0
% 102.79/14.43 | (3) op(e1, unit) = e1
% 102.79/14.43 | (4) op(e2, unit) = e2
% 102.79/14.43 | (5) op(e3, unit) = e3
% 102.79/14.43 | (6) op(e4, unit) = e4
% 102.79/14.43 | (7) op(unit, e0) = e0
% 102.79/14.43 | (8) op(unit, e1) = e1
% 102.79/14.43 | (9) op(unit, e2) = e2
% 102.79/14.43 | (10) op(unit, e3) = e3
% 102.79/14.43 | (11) op(unit, e4) = e4
% 102.79/14.43 | (12) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 102.79/14.43 |
% 102.79/14.43 | ALPHA: (ax3) implies:
% 103.00/14.45 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 103.00/14.45 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 103.00/14.45 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 103.00/14.45 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 103.00/14.45 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 103.00/14.45 | : ? [v24: $i] : (((v24 = e4 & op(e4, e4) = e4) | (v23 = e4 & op(e4,
% 103.00/14.45 | e3) = e4) | (v20 = e4 & op(e4, e2) = e4) | (v15 = e4 & op(e4,
% 103.00/14.45 | e1) = e4) | (v8 = e4 & op(e4, e0) = e4)) & ((v24 = e4 & op(e4,
% 103.00/14.45 | e4) = e4) | (v22 = e4 & op(e3, e4) = e4) | (v18 = e4 & op(e2,
% 103.00/14.45 | e4) = e4) | (v12 = e4 & op(e1, e4) = e4) | (v4 = e4 & op(e0,
% 103.00/14.45 | e4) = e4)) & ((v24 = e3 & op(e4, e4) = e3) | (v23 = e3 &
% 103.00/14.45 | op(e4, e3) = e3) | (v20 = e3 & op(e4, e2) = e3) | (v15 = e3 &
% 103.00/14.45 | op(e4, e1) = e3) | (v8 = e3 & op(e4, e0) = e3)) & ((v24 = e3 &
% 103.00/14.45 | op(e4, e4) = e3) | (v22 = e3 & op(e3, e4) = e3) | (v18 = e3 &
% 103.00/14.45 | op(e2, e4) = e3) | (v12 = e3 & op(e1, e4) = e3) | (v4 = e3 &
% 103.00/14.45 | op(e0, e4) = e3)) & ((v24 = e2 & op(e4, e4) = e2) | (v23 = e2 &
% 103.00/14.45 | op(e4, e3) = e2) | (v20 = e2 & op(e4, e2) = e2) | (v15 = e2 &
% 103.00/14.45 | op(e4, e1) = e2) | (v8 = e2 & op(e4, e0) = e2)) & ((v24 = e2 &
% 103.00/14.45 | op(e4, e4) = e2) | (v22 = e2 & op(e3, e4) = e2) | (v18 = e2 &
% 103.00/14.45 | op(e2, e4) = e2) | (v12 = e2 & op(e1, e4) = e2) | (v4 = e2 &
% 103.00/14.45 | op(e0, e4) = e2)) & ((v24 = e1 & op(e4, e4) = e1) | (v23 = e1 &
% 103.00/14.45 | op(e4, e3) = e1) | (v20 = e1 & op(e4, e2) = e1) | (v15 = e1 &
% 103.00/14.45 | op(e4, e1) = e1) | (v8 = e1 & op(e4, e0) = e1)) & ((v24 = e1 &
% 103.00/14.45 | op(e4, e4) = e1) | (v22 = e1 & op(e3, e4) = e1) | (v18 = e1 &
% 103.00/14.45 | op(e2, e4) = e1) | (v12 = e1 & op(e1, e4) = e1) | (v4 = e1 &
% 103.00/14.45 | op(e0, e4) = e1)) & ((v24 = e0 & op(e4, e4) = e0) | (v23 = e0 &
% 103.00/14.45 | op(e4, e3) = e0) | (v20 = e0 & op(e4, e2) = e0) | (v15 = e0 &
% 103.00/14.45 | op(e4, e1) = e0) | (v8 = e0 & op(e4, e0) = e0)) & ((v24 = e0 &
% 103.00/14.45 | op(e4, e4) = e0) | (v22 = e0 & op(e3, e4) = e0) | (v18 = e0 &
% 103.00/14.45 | op(e2, e4) = e0) | (v12 = e0 & op(e1, e4) = e0) | (v4 = e0 &
% 103.00/14.45 | op(e0, e4) = e0)) & ((v23 = e4 & op(e4, e3) = e4) | (v21 = e4 &
% 103.00/14.45 | op(e3, e3) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v11 = e4 &
% 103.00/14.45 | op(e1, e3) = e4) | (v3 = e4 & op(e0, e3) = e4)) & ((v23 = e3 &
% 103.00/14.45 | op(e4, e3) = e3) | (v21 = e3 & op(e3, e3) = e3) | (v17 = e3 &
% 103.00/14.45 | op(e2, e3) = e3) | (v11 = e3 & op(e1, e3) = e3) | (v3 = e3 &
% 103.00/14.45 | op(e0, e3) = e3)) & ((v23 = e2 & op(e4, e3) = e2) | (v21 = e2 &
% 103.00/14.45 | op(e3, e3) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v11 = e2 &
% 103.00/14.45 | op(e1, e3) = e2) | (v3 = e2 & op(e0, e3) = e2)) & ((v23 = e1 &
% 103.00/14.45 | op(e4, e3) = e1) | (v21 = e1 & op(e3, e3) = e1) | (v17 = e1 &
% 103.00/14.45 | op(e2, e3) = e1) | (v11 = e1 & op(e1, e3) = e1) | (v3 = e1 &
% 103.00/14.45 | op(e0, e3) = e1)) & ((v23 = e0 & op(e4, e3) = e0) | (v21 = e0 &
% 103.00/14.45 | op(e3, e3) = e0) | (v17 = e0 & op(e2, e3) = e0) | (v11 = e0 &
% 103.00/14.45 | op(e1, e3) = e0) | (v3 = e0 & op(e0, e3) = e0)) & ((v22 = e4 &
% 103.00/14.45 | op(e3, e4) = e4) | (v21 = e4 & op(e3, e3) = e4) | (v19 = e4 &
% 103.00/14.45 | op(e3, e2) = e4) | (v14 = e4 & op(e3, e1) = e4) | (v7 = e4 &
% 103.00/14.45 | op(e3, e0) = e4)) & ((v22 = e3 & op(e3, e4) = e3) | (v21 = e3 &
% 103.00/14.45 | op(e3, e3) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v14 = e3 &
% 103.00/14.45 | op(e3, e1) = e3) | (v7 = e3 & op(e3, e0) = e3)) & ((v22 = e2 &
% 103.00/14.45 | op(e3, e4) = e2) | (v21 = e2 & op(e3, e3) = e2) | (v19 = e2 &
% 103.00/14.45 | op(e3, e2) = e2) | (v14 = e2 & op(e3, e1) = e2) | (v7 = e2 &
% 103.00/14.45 | op(e3, e0) = e2)) & ((v22 = e1 & op(e3, e4) = e1) | (v21 = e1 &
% 103.00/14.45 | op(e3, e3) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v14 = e1 &
% 103.00/14.45 | op(e3, e1) = e1) | (v7 = e1 & op(e3, e0) = e1)) & ((v22 = e0 &
% 103.00/14.45 | op(e3, e4) = e0) | (v21 = e0 & op(e3, e3) = e0) | (v19 = e0 &
% 103.00/14.45 | op(e3, e2) = e0) | (v14 = e0 & op(e3, e1) = e0) | (v7 = e0 &
% 103.00/14.45 | op(e3, e0) = e0)) & ((v20 = e4 & op(e4, e2) = e4) | (v19 = e4 &
% 103.00/14.45 | op(e3, e2) = e4) | (v16 = e4 & op(e2, e2) = e4) | (v10 = e4 &
% 103.00/14.45 | op(e1, e2) = e4) | (v2 = e4 & op(e0, e2) = e4)) & ((v20 = e3 &
% 103.00/14.45 | op(e4, e2) = e3) | (v19 = e3 & op(e3, e2) = e3) | (v16 = e3 &
% 103.00/14.45 | op(e2, e2) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v2 = e3 &
% 103.00/14.45 | op(e0, e2) = e3)) & ((v20 = e2 & op(e4, e2) = e2) | (v19 = e2 &
% 103.00/14.45 | op(e3, e2) = e2) | (v16 = e2 & op(e2, e2) = e2) | (v10 = e2 &
% 103.00/14.45 | op(e1, e2) = e2) | (v2 = e2 & op(e0, e2) = e2)) & ((v20 = e1 &
% 103.00/14.45 | op(e4, e2) = e1) | (v19 = e1 & op(e3, e2) = e1) | (v16 = e1 &
% 103.00/14.45 | op(e2, e2) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v2 = e1 &
% 103.00/14.45 | op(e0, e2) = e1)) & ((v20 = e0 & op(e4, e2) = e0) | (v19 = e0 &
% 103.00/14.45 | op(e3, e2) = e0) | (v16 = e0 & op(e2, e2) = e0) | (v10 = e0 &
% 103.00/14.45 | op(e1, e2) = e0) | (v2 = e0 & op(e0, e2) = e0)) & ((v18 = e4 &
% 103.00/14.45 | op(e2, e4) = e4) | (v17 = e4 & op(e2, e3) = e4) | (v16 = e4 &
% 103.00/14.45 | op(e2, e2) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v6 = e4 &
% 103.00/14.45 | op(e2, e0) = e4)) & ((v18 = e3 & op(e2, e4) = e3) | (v17 = e3 &
% 103.00/14.45 | op(e2, e3) = e3) | (v16 = e3 & op(e2, e2) = e3) | (v13 = e3 &
% 103.00/14.45 | op(e2, e1) = e3) | (v6 = e3 & op(e2, e0) = e3)) & ((v18 = e2 &
% 103.00/14.45 | op(e2, e4) = e2) | (v17 = e2 & op(e2, e3) = e2) | (v16 = e2 &
% 103.00/14.45 | op(e2, e2) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v6 = e2 &
% 103.00/14.45 | op(e2, e0) = e2)) & ((v18 = e1 & op(e2, e4) = e1) | (v17 = e1 &
% 103.00/14.45 | op(e2, e3) = e1) | (v16 = e1 & op(e2, e2) = e1) | (v13 = e1 &
% 103.00/14.45 | op(e2, e1) = e1) | (v6 = e1 & op(e2, e0) = e1)) & ((v18 = e0 &
% 103.00/14.45 | op(e2, e4) = e0) | (v17 = e0 & op(e2, e3) = e0) | (v16 = e0 &
% 103.00/14.45 | op(e2, e2) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v6 = e0 &
% 103.00/14.45 | op(e2, e0) = e0)) & ((v15 = e4 & op(e4, e1) = e4) | (v14 = e4 &
% 103.00/14.45 | op(e3, e1) = e4) | (v13 = e4 & op(e2, e1) = e4) | (v9 = e4 &
% 103.00/14.45 | op(e1, e1) = e4) | (v1 = e4 & op(e0, e1) = e4)) & ((v15 = e3 &
% 103.00/14.45 | op(e4, e1) = e3) | (v14 = e3 & op(e3, e1) = e3) | (v13 = e3 &
% 103.00/14.45 | op(e2, e1) = e3) | (v9 = e3 & op(e1, e1) = e3) | (v1 = e3 &
% 103.00/14.45 | op(e0, e1) = e3)) & ((v15 = e2 & op(e4, e1) = e2) | (v14 = e2 &
% 103.00/14.45 | op(e3, e1) = e2) | (v13 = e2 & op(e2, e1) = e2) | (v9 = e2 &
% 103.00/14.45 | op(e1, e1) = e2) | (v1 = e2 & op(e0, e1) = e2)) & ((v15 = e1 &
% 103.00/14.45 | op(e4, e1) = e1) | (v14 = e1 & op(e3, e1) = e1) | (v13 = e1 &
% 103.00/14.45 | op(e2, e1) = e1) | (v9 = e1 & op(e1, e1) = e1) | (v1 = e1 &
% 103.00/14.45 | op(e0, e1) = e1)) & ((v15 = e0 & op(e4, e1) = e0) | (v14 = e0 &
% 103.00/14.45 | op(e3, e1) = e0) | (v13 = e0 & op(e2, e1) = e0) | (v9 = e0 &
% 103.00/14.45 | op(e1, e1) = e0) | (v1 = e0 & op(e0, e1) = e0)) & ((v12 = e4 &
% 103.00/14.45 | op(e1, e4) = e4) | (v11 = e4 & op(e1, e3) = e4) | (v10 = e4 &
% 103.00/14.45 | op(e1, e2) = e4) | (v9 = e4 & op(e1, e1) = e4) | (v5 = e4 &
% 103.00/14.45 | op(e1, e0) = e4)) & ((v12 = e3 & op(e1, e4) = e3) | (v11 = e3 &
% 103.00/14.45 | op(e1, e3) = e3) | (v10 = e3 & op(e1, e2) = e3) | (v9 = e3 &
% 103.00/14.45 | op(e1, e1) = e3) | (v5 = e3 & op(e1, e0) = e3)) & ((v12 = e2 &
% 103.00/14.45 | op(e1, e4) = e2) | (v11 = e2 & op(e1, e3) = e2) | (v10 = e2 &
% 103.00/14.45 | op(e1, e2) = e2) | (v9 = e2 & op(e1, e1) = e2) | (v5 = e2 &
% 103.00/14.45 | op(e1, e0) = e2)) & ((v12 = e1 & op(e1, e4) = e1) | (v11 = e1 &
% 103.00/14.45 | op(e1, e3) = e1) | (v10 = e1 & op(e1, e2) = e1) | (v9 = e1 &
% 103.00/14.45 | op(e1, e1) = e1) | (v5 = e1 & op(e1, e0) = e1)) & ((v12 = e0 &
% 103.00/14.45 | op(e1, e4) = e0) | (v11 = e0 & op(e1, e3) = e0) | (v10 = e0 &
% 103.00/14.45 | op(e1, e2) = e0) | (v9 = e0 & op(e1, e1) = e0) | (v5 = e0 &
% 103.00/14.45 | op(e1, e0) = e0)) & ((v8 = e4 & op(e4, e0) = e4) | (v7 = e4 &
% 103.00/14.45 | op(e3, e0) = e4) | (v6 = e4 & op(e2, e0) = e4) | (v5 = e4 &
% 103.00/14.45 | op(e1, e0) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v8 = e3 &
% 103.00/14.45 | op(e4, e0) = e3) | (v7 = e3 & op(e3, e0) = e3) | (v6 = e3 &
% 103.00/14.45 | op(e2, e0) = e3) | (v5 = e3 & op(e1, e0) = e3) | (v0 = e3 &
% 103.00/14.45 | op(e0, e0) = e3)) & ((v8 = e2 & op(e4, e0) = e2) | (v7 = e2 &
% 103.00/14.45 | op(e3, e0) = e2) | (v6 = e2 & op(e2, e0) = e2) | (v5 = e2 &
% 103.00/14.45 | op(e1, e0) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v8 = e1 &
% 103.00/14.45 | op(e4, e0) = e1) | (v7 = e1 & op(e3, e0) = e1) | (v6 = e1 &
% 103.00/14.45 | op(e2, e0) = e1) | (v5 = e1 & op(e1, e0) = e1) | (v0 = e1 &
% 103.00/14.45 | op(e0, e0) = e1)) & ((v4 = e4 & op(e0, e4) = e4) | (v3 = e4 &
% 103.00/14.45 | op(e0, e3) = e4) | (v2 = e4 & op(e0, e2) = e4) | (v1 = e4 &
% 103.00/14.45 | op(e0, e1) = e4) | (v0 = e4 & op(e0, e0) = e4)) & ((v4 = e3 &
% 103.00/14.45 | op(e0, e4) = e3) | (v3 = e3 & op(e0, e3) = e3) | (v2 = e3 &
% 103.00/14.45 | op(e0, e2) = e3) | (v1 = e3 & op(e0, e1) = e3) | (v0 = e3 &
% 103.00/14.45 | op(e0, e0) = e3)) & ((v4 = e2 & op(e0, e4) = e2) | (v3 = e2 &
% 103.00/14.45 | op(e0, e3) = e2) | (v2 = e2 & op(e0, e2) = e2) | (v1 = e2 &
% 103.00/14.45 | op(e0, e1) = e2) | (v0 = e2 & op(e0, e0) = e2)) & ((v4 = e1 &
% 103.00/14.45 | op(e0, e4) = e1) | (v3 = e1 & op(e0, e3) = e1) | (v2 = e1 &
% 103.00/14.45 | op(e0, e2) = e1) | (v1 = e1 & op(e0, e1) = e1) | (v0 = e1 &
% 103.00/14.45 | op(e0, e0) = e1)) & ((v0 = e0 & op(e0, e0) = e0) | (((v8 = e0 &
% 103.00/14.45 | op(e4, e0) = e0) | (v7 = e0 & op(e3, e0) = e0) | (v6 = e0 &
% 103.00/14.45 | op(e2, e0) = e0) | (v5 = e0 & op(e1, e0) = e0)) & ((v4 = e0
% 103.00/14.45 | & op(e0, e4) = e0) | (v3 = e0 & op(e0, e3) = e0) | (v2 = e0
% 103.00/14.45 | & op(e0, e2) = e0) | (v1 = e0 & op(e0, e1) = e0)))))
% 103.00/14.45 |
% 103.00/14.45 | ALPHA: (ax4) implies:
% 103.00/14.46 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 103.00/14.46 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 103.00/14.46 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 103.00/14.46 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 103.00/14.46 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 103.00/14.46 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 103.00/14.46 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~
% 103.00/14.46 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~
% 103.00/14.46 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~
% 103.00/14.46 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~
% 103.00/14.46 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~
% 103.00/14.46 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~
% 103.00/14.46 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~
% 103.00/14.46 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~
% 103.00/14.46 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~
% 103.00/14.46 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~
% 103.00/14.46 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~
% 103.00/14.46 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~
% 103.00/14.46 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~
% 103.00/14.46 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~
% 103.00/14.46 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~
% 103.00/14.46 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~
% 103.00/14.46 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~
% 103.00/14.46 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9
% 103.00/14.46 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4)
% 103.00/14.46 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7
% 103.00/14.46 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1)
% 103.00/14.46 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4
% 103.00/14.46 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1)
% 103.00/14.46 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 103.00/14.46 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 103.00/14.46 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 103.00/14.46 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 103.00/14.46 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 103.00/14.46 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 103.00/14.46 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 103.00/14.46 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 103.00/14.46 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 103.00/14.46 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 103.00/14.46 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 103.00/14.46 |
% 103.00/14.46 | ALPHA: (ax5) implies:
% 103.00/14.46 | (15) ~ (e3 = e0)
% 103.00/14.46 | (16) ~ (e3 = e2)
% 103.00/14.46 | (17) ~ (e4 = e0)
% 103.00/14.46 | (18) ~ (e4 = e1)
% 103.00/14.46 | (19) ~ (e4 = e2)
% 103.00/14.46 | (20) ~ (e4 = e3)
% 103.00/14.46 |
% 103.00/14.46 | ALPHA: (ax6) implies:
% 103.00/14.46 | (21) op(e1, e4) = e0
% 103.00/14.46 | (22) op(e3, e4) = e2
% 103.00/14.46 | (23) op(e4, e1) = e3
% 103.00/14.46 | (24) op(e4, e4) = e1
% 103.00/14.46 |
% 103.00/14.46 | ALPHA: (co1) implies:
% 103.00/14.47 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 103.00/14.47 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 103.00/14.47 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 103.00/14.47 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 103.00/14.47 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 103.00/14.47 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 103.00/14.47 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 103.00/14.47 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 103.00/14.47 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 103.00/14.47 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 103.00/14.47 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 103.00/14.47 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 103.00/14.47 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 103.00/14.47 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : (((v63 = e4 &
% 103.00/14.47 | ~ (v64 = e3) & ~ (v24 = v20) & op(v24, e4) = v64 & op(v24, e3)
% 103.00/14.47 | = e4 & op(e4, e3) = v24 & op(e3, e4) = v20 & $i(v64) & $i(v24) &
% 103.00/14.47 | $i(v20)) | (v61 = e4 & ~ (v62 = e2) & ~ (v23 = v16) & op(v23,
% 103.00/14.47 | e4) = v62 & op(v23, e2) = e4 & op(e4, e2) = v23 & op(e2, e4) =
% 103.00/14.47 | v16 & $i(v62) & $i(v23) & $i(v16)) | (v59 = e4 & ~ (v60 = e1) &
% 103.00/14.47 | ~ (v22 = v12) & op(v22, e4) = v60 & op(v22, e1) = e4 & op(e4,
% 103.00/14.47 | e1) = v22 & op(e1, e4) = v12 & $i(v60) & $i(v22) & $i(v12)) |
% 103.00/14.47 | (v57 = e4 & ~ (v58 = e0) & ~ (v21 = v8) & op(v21, e4) = v58 &
% 103.00/14.47 | op(v21, e0) = e4 & op(e4, e0) = v21 & op(e0, e4) = v8 & $i(v58)
% 103.00/14.47 | & $i(v21) & $i(v8)) | (v55 = e3 & ~ (v56 = e4) & ~ (v24 = v20)
% 103.00/14.47 | & op(v20, e4) = e3 & op(v20, e3) = v56 & op(e4, e3) = v24 &
% 103.00/14.47 | op(e3, e4) = v20 & $i(v56) & $i(v24) & $i(v20)) | (v53 = e3 & ~
% 103.00/14.47 | (v54 = e2) & ~ (v19 = v15) & op(v19, e3) = v54 & op(v19, e2) =
% 103.00/14.47 | e3 & op(e3, e2) = v19 & op(e2, e3) = v15 & $i(v54) & $i(v19) &
% 103.00/14.47 | $i(v15)) | (v51 = e3 & ~ (v52 = e1) & ~ (v18 = v11) & op(v18,
% 103.00/14.47 | e3) = v52 & op(v18, e1) = e3 & op(e3, e1) = v18 & op(e1, e3) =
% 103.00/14.47 | v11 & $i(v52) & $i(v18) & $i(v11)) | (v49 = e3 & ~ (v50 = e0) &
% 103.00/14.47 | ~ (v17 = v6) & op(v17, e3) = v50 & op(v17, e0) = e3 & op(e3,
% 103.00/14.47 | e0) = v17 & op(e0, e3) = v6 & $i(v50) & $i(v17) & $i(v6)) |
% 103.00/14.47 | (v47 = e2 & ~ (v48 = e4) & ~ (v23 = v16) & op(v16, e4) = e2 &
% 103.00/14.47 | op(v16, e2) = v48 & op(e4, e2) = v23 & op(e2, e4) = v16 &
% 103.00/14.47 | $i(v48) & $i(v23) & $i(v16)) | (v45 = e2 & ~ (v46 = e3) & ~
% 103.00/14.47 | (v19 = v15) & op(v15, e3) = e2 & op(v15, e2) = v46 & op(e3, e2)
% 103.00/14.47 | = v19 & op(e2, e3) = v15 & $i(v46) & $i(v19) & $i(v15)) | (v43 =
% 103.00/14.47 | e2 & ~ (v44 = e1) & ~ (v14 = v10) & op(v14, e2) = v44 &
% 103.00/14.47 | op(v14, e1) = e2 & op(e2, e1) = v14 & op(e1, e2) = v10 & $i(v44)
% 103.00/14.47 | & $i(v14) & $i(v10)) | (v41 = e2 & ~ (v42 = e0) & ~ (v13 = v4)
% 103.00/14.47 | & op(v13, e2) = v42 & op(v13, e0) = e2 & op(e2, e0) = v13 &
% 103.00/14.47 | op(e0, e2) = v4 & $i(v42) & $i(v13) & $i(v4)) | (v39 = e1 & ~
% 103.00/14.47 | (v40 = e4) & ~ (v22 = v12) & op(v12, e4) = e1 & op(v12, e1) =
% 103.00/14.47 | v40 & op(e4, e1) = v22 & op(e1, e4) = v12 & $i(v40) & $i(v22) &
% 103.00/14.47 | $i(v12)) | (v37 = e1 & ~ (v38 = e3) & ~ (v18 = v11) & op(v11,
% 103.00/14.47 | e3) = e1 & op(v11, e1) = v38 & op(e3, e1) = v18 & op(e1, e3) =
% 103.00/14.47 | v11 & $i(v38) & $i(v18) & $i(v11)) | (v35 = e1 & ~ (v36 = e2) &
% 103.00/14.47 | ~ (v14 = v10) & op(v10, e2) = e1 & op(v10, e1) = v36 & op(e2,
% 103.00/14.47 | e1) = v14 & op(e1, e2) = v10 & $i(v36) & $i(v14) & $i(v10)) |
% 103.00/14.47 | (v33 = e1 & ~ (v34 = e0) & ~ (v9 = v2) & op(v9, e1) = v34 &
% 103.00/14.47 | op(v9, e0) = e1 & op(e1, e0) = v9 & op(e0, e1) = v2 & $i(v34) &
% 103.00/14.47 | $i(v9) & $i(v2)) | (v31 = e0 & ~ (v32 = e4) & ~ (v21 = v8) &
% 103.00/14.47 | op(v8, e4) = e0 & op(v8, e0) = v32 & op(e4, e0) = v21 & op(e0,
% 103.00/14.47 | e4) = v8 & $i(v32) & $i(v21) & $i(v8)) | (v29 = e0 & ~ (v30 =
% 103.00/14.47 | e3) & ~ (v17 = v6) & op(v6, e3) = e0 & op(v6, e0) = v30 &
% 103.00/14.47 | op(e3, e0) = v17 & op(e0, e3) = v6 & $i(v30) & $i(v17) & $i(v6))
% 103.00/14.47 | | (v27 = e0 & ~ (v28 = e2) & ~ (v13 = v4) & op(v4, e2) = e0 &
% 103.00/14.47 | op(v4, e0) = v28 & op(e2, e0) = v13 & op(e0, e2) = v4 & $i(v28)
% 103.00/14.47 | & $i(v13) & $i(v4)) | (v25 = e0 & ~ (v26 = e1) & ~ (v9 = v2) &
% 103.00/14.47 | op(v2, e1) = e0 & op(v2, e0) = v26 & op(e1, e0) = v9 & op(e0,
% 103.00/14.47 | e1) = v2 & $i(v26) & $i(v9) & $i(v2))) & ((v7 = e3 & v5 = e4 &
% 103.00/14.47 | ~ (v24 = e4) & op(e4, e4) = e3 & op(e4, e3) = v24 & op(e3, e3)
% 103.00/14.47 | = e4 & $i(v24)) | (v7 = e3 & v5 = e4 & ~ (v20 = e3) & op(e4,
% 103.00/14.47 | e4) = e3 & op(e3, e4) = v20 & op(e3, e3) = e4 & $i(v20)) | (v7
% 103.00/14.47 | = e2 & v3 = e4 & ~ (v23 = e4) & op(e4, e4) = e2 & op(e4, e2) =
% 103.00/14.47 | v23 & op(e2, e2) = e4 & $i(v23)) | (v7 = e2 & v3 = e4 & ~ (v16
% 103.00/14.47 | = e2) & op(e4, e4) = e2 & op(e2, e4) = v16 & op(e2, e2) = e4 &
% 103.00/14.47 | $i(v16)) | (v7 = e1 & v1 = e4 & ~ (v22 = e4) & op(e4, e4) = e1
% 103.00/14.47 | & op(e4, e1) = v22 & op(e1, e1) = e4 & $i(v22)) | (v7 = e1 & v1
% 103.00/14.47 | = e4 & ~ (v12 = e1) & op(e4, e4) = e1 & op(e1, e4) = v12 &
% 103.00/14.47 | op(e1, e1) = e4 & $i(v12)) | (v7 = e0 & v0 = e4 & ~ (v21 = e4)
% 103.00/14.47 | & op(e4, e4) = e0 & op(e4, e0) = v21 & op(e0, e0) = e4 &
% 103.00/14.47 | $i(v21)) | (v5 = e2 & v3 = e3 & ~ (v19 = e3) & op(e3, e3) = e2
% 103.00/14.47 | & op(e3, e2) = v19 & op(e2, e2) = e3 & $i(v19)) | (v5 = e2 & v3
% 103.00/14.47 | = e3 & ~ (v15 = e2) & op(e3, e3) = e2 & op(e2, e3) = v15 &
% 103.00/14.47 | op(e2, e2) = e3 & $i(v15)) | (v5 = e1 & v1 = e3 & ~ (v18 = e3)
% 103.00/14.47 | & op(e3, e3) = e1 & op(e3, e1) = v18 & op(e1, e1) = e3 &
% 103.00/14.47 | $i(v18)) | (v5 = e1 & v1 = e3 & ~ (v11 = e1) & op(e3, e3) = e1
% 103.00/14.47 | & op(e1, e3) = v11 & op(e1, e1) = e3 & $i(v11)) | (v5 = e0 & v0
% 103.00/14.47 | = e3 & ~ (v17 = e3) & op(e3, e3) = e0 & op(e3, e0) = v17 &
% 103.00/14.47 | op(e0, e0) = e3 & $i(v17)) | (v3 = e1 & v1 = e2 & ~ (v14 = e2)
% 103.00/14.47 | & op(e2, e2) = e1 & op(e2, e1) = v14 & op(e1, e1) = e2 &
% 103.00/14.47 | $i(v14)) | (v3 = e1 & v1 = e2 & ~ (v10 = e1) & op(e2, e2) = e1
% 103.00/14.47 | & op(e1, e2) = v10 & op(e1, e1) = e2 & $i(v10)) | (v3 = e0 & v0
% 103.00/14.47 | = e2 & ~ (v13 = e2) & op(e2, e2) = e0 & op(e2, e0) = v13 &
% 103.00/14.47 | op(e0, e0) = e2 & $i(v13)) | (op(e0, e0) = v0 & $i(v0) & ((v7 =
% 103.00/14.47 | e0 & v0 = e4 & ~ (v8 = e0) & op(e4, e4) = e0 & op(e0, e4) =
% 103.00/14.47 | v8 & $i(v8)) | (v5 = e0 & v0 = e3 & ~ (v6 = e0) & op(e3,
% 103.00/14.47 | e3) = e0 & op(e0, e3) = v6 & $i(v6)) | (v3 = e0 & v0 = e2
% 103.00/14.47 | & ~ (v4 = e0) & op(e2, e2) = e0 & op(e0, e2) = v4 & $i(v4))
% 103.00/14.47 | | (v1 = e0 & v0 = e1 & ~ (v9 = e1) & op(e1, e1) = e0 & op(e1,
% 103.00/14.47 | e0) = v9 & $i(v9)) | (v1 = e0 & v0 = e1 & ~ (v2 = e0) &
% 103.00/14.47 | op(e1, e1) = e0 & op(e0, e1) = v2 & $i(v2))))))
% 103.00/14.47 |
% 103.00/14.47 | DELTA: instantiating (14) with fresh symbols all_4_0, all_4_1, all_4_2,
% 103.00/14.47 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 103.00/14.47 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 103.00/14.47 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 103.00/14.47 | all_4_24 gives:
% 103.00/14.47 | (26) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 =
% 103.00/14.47 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~
% 103.00/14.47 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 =
% 103.00/14.47 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~
% 103.00/14.47 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11)
% 103.00/14.47 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 =
% 103.00/14.47 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~
% 103.00/14.47 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 =
% 103.00/14.47 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~
% 103.00/14.47 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 =
% 103.00/14.47 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~
% 103.00/14.47 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 =
% 103.00/14.47 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~
% 103.00/14.47 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 =
% 103.00/14.47 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~
% 103.00/14.47 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11)
% 103.00/14.47 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 =
% 103.00/14.47 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~
% 103.00/14.47 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 =
% 103.00/14.47 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~
% 103.00/14.47 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 =
% 103.00/14.47 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~
% 103.00/14.47 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 =
% 103.00/14.47 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~
% 103.00/14.47 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 =
% 103.00/14.47 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~
% 103.00/14.47 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 =
% 103.00/14.47 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~
% 103.00/14.47 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 =
% 103.00/14.47 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~
% 103.00/14.47 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 =
% 103.00/14.47 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~
% 103.00/14.47 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 =
% 103.00/14.47 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~
% 103.00/14.47 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 =
% 103.00/14.47 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~
% 103.00/14.47 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 =
% 103.00/14.47 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~
% 103.00/14.47 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 =
% 103.00/14.47 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 103.00/14.47 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 103.00/14.47 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 103.00/14.47 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 103.00/14.47 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 103.00/14.47 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 103.00/14.47 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 103.00/14.47 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 103.00/14.47 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 103.00/14.47 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 103.00/14.47 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 103.00/14.47 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 103.00/14.47 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 103.00/14.47 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 103.00/14.47 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 103.00/14.47 |
% 103.00/14.47 | ALPHA: (26) implies:
% 103.00/14.48 | (27) ~ (all_4_23 = all_4_24)
% 103.00/14.48 | (28) ~ (all_4_22 = all_4_24)
% 103.00/14.48 | (29) ~ (all_4_22 = all_4_23)
% 103.00/14.48 | (30) ~ (all_4_21 = all_4_24)
% 103.00/14.48 | (31) ~ (all_4_21 = all_4_23)
% 103.00/14.48 | (32) ~ (all_4_21 = all_4_22)
% 103.00/14.48 | (33) ~ (all_4_20 = all_4_24)
% 103.00/14.48 | (34) ~ (all_4_20 = all_4_23)
% 103.00/14.48 | (35) ~ (all_4_20 = all_4_22)
% 103.00/14.48 | (36) ~ (all_4_20 = all_4_21)
% 103.00/14.48 | (37) ~ (all_4_19 = all_4_24)
% 103.00/14.48 | (38) ~ (all_4_18 = all_4_19)
% 103.00/14.48 | (39) ~ (all_4_17 = all_4_22)
% 103.00/14.48 | (40) ~ (all_4_17 = all_4_19)
% 103.00/14.48 | (41) ~ (all_4_17 = all_4_18)
% 103.00/14.48 | (42) ~ (all_4_16 = all_4_21)
% 103.00/14.48 | (43) ~ (all_4_16 = all_4_19)
% 103.00/14.48 | (44) ~ (all_4_16 = all_4_17)
% 103.00/14.48 | (45) ~ (all_4_15 = all_4_20)
% 103.00/14.48 | (46) ~ (all_4_15 = all_4_19)
% 103.00/14.48 | (47) ~ (all_4_15 = all_4_18)
% 103.00/14.48 | (48) ~ (all_4_15 = all_4_17)
% 103.00/14.48 | (49) ~ (all_4_15 = all_4_16)
% 103.00/14.48 | (50) ~ (all_4_14 = all_4_24)
% 103.00/14.48 | (51) ~ (all_4_14 = all_4_19)
% 103.00/14.48 | (52) ~ (all_4_13 = all_4_23)
% 103.00/14.48 | (53) ~ (all_4_13 = all_4_14)
% 103.00/14.48 | (54) ~ (all_4_12 = all_4_22)
% 103.00/14.48 | (55) ~ (all_4_12 = all_4_17)
% 103.00/14.48 | (56) ~ (all_4_12 = all_4_14)
% 103.00/14.48 | (57) ~ (all_4_12 = all_4_13)
% 103.00/14.48 | (58) ~ (all_4_11 = all_4_21)
% 103.00/14.48 | (59) ~ (all_4_11 = all_4_16)
% 103.00/14.48 | (60) ~ (all_4_11 = all_4_14)
% 103.00/14.48 | (61) ~ (all_4_10 = all_4_20)
% 103.00/14.48 | (62) ~ (all_4_10 = all_4_15)
% 103.00/14.48 | (63) ~ (all_4_10 = all_4_14)
% 103.00/14.48 | (64) ~ (all_4_10 = all_4_11)
% 103.00/14.48 | (65) ~ (all_4_9 = all_4_24)
% 103.00/14.48 | (66) ~ (all_4_9 = all_4_19)
% 103.00/14.48 | (67) ~ (all_4_9 = all_4_14)
% 103.00/14.48 | (68) ~ (all_4_8 = all_4_23)
% 103.00/14.48 | (69) ~ (all_4_8 = all_4_18)
% 103.00/14.48 | (70) ~ (all_4_8 = all_4_13)
% 103.00/14.48 | (71) ~ (all_4_8 = all_4_9)
% 103.00/14.48 | (72) ~ (all_4_7 = all_4_22)
% 103.00/14.48 | (73) ~ (all_4_7 = all_4_17)
% 103.00/14.48 | (74) ~ (all_4_7 = all_4_12)
% 103.00/14.48 | (75) ~ (all_4_7 = all_4_9)
% 103.00/14.48 | (76) ~ (all_4_7 = all_4_8)
% 103.00/14.48 | (77) ~ (all_4_6 = all_4_21)
% 103.00/14.48 | (78) ~ (all_4_6 = all_4_16)
% 103.00/14.48 | (79) ~ (all_4_6 = all_4_11)
% 103.00/14.48 | (80) ~ (all_4_6 = all_4_9)
% 103.00/14.48 | (81) ~ (all_4_6 = all_4_8)
% 103.00/14.48 | (82) ~ (all_4_6 = all_4_7)
% 103.00/14.48 | (83) ~ (all_4_5 = all_4_20)
% 103.00/14.48 | (84) ~ (all_4_5 = all_4_10)
% 103.00/14.48 | (85) ~ (all_4_5 = all_4_9)
% 103.00/14.48 | (86) ~ (all_4_5 = all_4_8)
% 103.00/14.48 | (87) ~ (all_4_5 = all_4_7)
% 103.00/14.48 | (88) ~ (all_4_5 = all_4_6)
% 103.00/14.48 | (89) ~ (all_4_4 = all_4_24)
% 103.00/14.48 | (90) ~ (all_4_4 = all_4_19)
% 103.00/14.48 | (91) ~ (all_4_4 = all_4_14)
% 103.00/14.48 | (92) ~ (all_4_4 = all_4_9)
% 103.00/14.48 | (93) ~ (all_4_3 = all_4_23)
% 103.00/14.48 | (94) ~ (all_4_3 = all_4_18)
% 103.00/14.48 | (95) ~ (all_4_3 = all_4_8)
% 103.00/14.48 | (96) ~ (all_4_3 = all_4_4)
% 103.00/14.48 | (97) ~ (all_4_2 = all_4_22)
% 103.00/14.48 | (98) ~ (all_4_2 = all_4_17)
% 103.00/14.48 | (99) ~ (all_4_2 = all_4_12)
% 103.00/14.48 | (100) ~ (all_4_2 = all_4_7)
% 103.00/14.48 | (101) ~ (all_4_2 = all_4_4)
% 103.00/14.48 | (102) ~ (all_4_2 = all_4_3)
% 103.00/14.48 | (103) ~ (all_4_1 = all_4_16)
% 103.00/14.48 | (104) ~ (all_4_1 = all_4_11)
% 103.00/14.48 | (105) ~ (all_4_1 = all_4_6)
% 103.00/14.48 | (106) ~ (all_4_1 = all_4_4)
% 103.00/14.48 | (107) ~ (all_4_1 = all_4_3)
% 103.00/14.48 | (108) ~ (all_4_1 = all_4_2)
% 103.00/14.48 | (109) ~ (all_4_0 = all_4_20)
% 103.00/14.48 | (110) ~ (all_4_0 = all_4_15)
% 103.00/14.48 | (111) ~ (all_4_0 = all_4_10)
% 103.00/14.48 | (112) ~ (all_4_0 = all_4_5)
% 103.00/14.48 | (113) ~ (all_4_0 = all_4_4)
% 103.00/14.48 | (114) ~ (all_4_0 = all_4_3)
% 103.00/14.48 | (115) ~ (all_4_0 = all_4_2)
% 103.00/14.48 | (116) ~ (all_4_0 = all_4_1)
% 103.00/14.48 | (117) op(e0, e0) = all_4_24
% 103.00/14.48 | (118) op(e0, e1) = all_4_19
% 103.00/14.48 | (119) op(e0, e2) = all_4_14
% 103.00/14.48 | (120) op(e0, e3) = all_4_9
% 103.00/14.48 | (121) op(e0, e4) = all_4_4
% 103.00/14.48 | (122) op(e1, e0) = all_4_23
% 103.00/14.48 | (123) op(e1, e1) = all_4_18
% 103.00/14.48 | (124) op(e1, e2) = all_4_13
% 103.00/14.48 | (125) op(e1, e3) = all_4_8
% 103.00/14.48 | (126) op(e1, e4) = all_4_3
% 103.00/14.48 | (127) op(e2, e0) = all_4_22
% 103.00/14.48 | (128) op(e2, e1) = all_4_17
% 103.00/14.49 | (129) op(e2, e2) = all_4_12
% 103.00/14.49 | (130) op(e2, e3) = all_4_7
% 103.00/14.49 | (131) op(e2, e4) = all_4_2
% 103.00/14.49 | (132) op(e3, e0) = all_4_21
% 103.00/14.49 | (133) op(e3, e1) = all_4_16
% 103.00/14.49 | (134) op(e3, e2) = all_4_11
% 103.00/14.49 | (135) op(e3, e3) = all_4_6
% 103.00/14.49 | (136) op(e3, e4) = all_4_1
% 103.00/14.49 | (137) op(e4, e0) = all_4_20
% 103.00/14.49 | (138) op(e4, e1) = all_4_15
% 103.00/14.49 | (139) op(e4, e2) = all_4_10
% 103.00/14.49 | (140) op(e4, e3) = all_4_5
% 103.00/14.49 | (141) op(e4, e4) = all_4_0
% 103.00/14.49 |
% 103.00/14.49 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 103.00/14.49 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 103.00/14.49 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 103.00/14.49 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 103.00/14.49 | all_6_24 gives:
% 103.00/14.49 | (142) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 103.00/14.49 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 103.00/14.49 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 103.00/14.49 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 103.00/14.49 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 103.00/14.49 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 103.00/14.49 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 103.00/14.49 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 103.00/14.49 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 103.00/14.49 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 103.00/14.49 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 103.00/14.49 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 103.00/14.49 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 103.00/14.49 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 103.00/14.49 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 103.00/14.49 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 103.00/14.49 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 103.00/14.49 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 103.00/14.49 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 103.00/14.49 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 103.00/14.49 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 103.00/14.49 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 103.00/14.49 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 103.00/14.49 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 103.00/14.49 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 103.00/14.49 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 103.00/14.49 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 103.00/14.49 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 103.00/14.49 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 103.00/14.49 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 103.00/14.49 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 103.00/14.49 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 103.00/14.49 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 103.00/14.49 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 103.00/14.49 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 103.00/14.49 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 103.00/14.49 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 103.00/14.49 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 103.00/14.49 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 103.00/14.49 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 103.00/14.49 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 103.00/14.49 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 103.00/14.49 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 103.00/14.49 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 103.00/14.49 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 103.00/14.49 |
% 103.00/14.49 | ALPHA: (142) implies:
% 103.00/14.49 | (143) op(e0, e0) = all_6_24
% 103.00/14.49 | (144) op(e0, e1) = all_6_23
% 103.00/14.49 | (145) op(e0, e2) = all_6_22
% 103.00/14.49 | (146) op(e0, e3) = all_6_21
% 103.00/14.49 | (147) op(e0, e4) = all_6_20
% 103.00/14.49 | (148) op(e1, e0) = all_6_19
% 103.00/14.49 | (149) op(e1, e1) = all_6_18
% 103.00/14.49 | (150) op(e1, e2) = all_6_17
% 103.00/14.49 | (151) op(e1, e3) = all_6_16
% 103.00/14.49 | (152) op(e1, e4) = all_6_15
% 103.00/14.49 | (153) op(e2, e0) = all_6_14
% 103.00/14.49 | (154) op(e2, e1) = all_6_13
% 103.00/14.49 | (155) op(e2, e3) = all_6_11
% 103.00/14.49 | (156) op(e2, e4) = all_6_10
% 103.00/14.49 | (157) op(e3, e0) = all_6_9
% 103.00/14.49 | (158) op(e3, e1) = all_6_8
% 103.00/14.49 | (159) op(e3, e2) = all_6_7
% 103.00/14.49 | (160) op(e3, e3) = all_6_6
% 103.00/14.49 | (161) op(e3, e4) = all_6_5
% 103.00/14.49 | (162) op(e4, e0) = all_6_4
% 103.00/14.49 | (163) op(e4, e1) = all_6_3
% 103.00/14.49 | (164) op(e4, e2) = all_6_2
% 103.00/14.49 | (165) op(e4, e3) = all_6_1
% 103.00/14.49 | (166) op(e4, e4) = all_6_0
% 103.00/14.49 | (167) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 103.00/14.49 | all_6_24 = e0
% 103.00/14.49 | (168) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 103.00/14.49 | all_6_23 = e0
% 103.00/14.49 | (169) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 103.00/14.49 | all_6_20 = e0
% 103.00/14.49 | (170) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 |
% 103.00/14.49 | all_6_18 = e0
% 103.00/14.49 | (171) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 103.00/14.49 | all_6_16 = e0
% 103.00/14.49 | (172) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 103.00/14.49 | all_6_11 = e0
% 103.00/14.49 | (173) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 103.00/14.49 | all_6_10 = e0
% 103.00/14.49 | (174) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 103.00/14.49 | e0
% 103.00/14.49 | (175) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 103.00/14.49 | e0
% 103.00/14.50 | (176) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 103.00/14.50 | e0
% 103.00/14.50 | (177) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 =
% 103.00/14.50 | e0
% 103.00/14.50 | (178) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 =
% 103.00/14.50 | e0
% 103.00/14.50 | (179) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 103.00/14.50 | e0
% 103.00/14.50 | (180) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 103.00/14.50 | e0
% 103.00/14.50 |
% 103.00/14.50 | DELTA: instantiating (25) with fresh symbols all_8_0, all_8_1, all_8_2,
% 103.00/14.50 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 103.00/14.50 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 103.00/14.50 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 103.00/14.50 | all_8_24, all_8_25, all_8_26, all_8_27, all_8_28, all_8_29, all_8_30,
% 103.00/14.50 | all_8_31, all_8_32, all_8_33, all_8_34, all_8_35, all_8_36, all_8_37,
% 103.00/14.50 | all_8_38, all_8_39, all_8_40, all_8_41, all_8_42, all_8_43, all_8_44,
% 103.00/14.50 | all_8_45, all_8_46, all_8_47, all_8_48, all_8_49, all_8_50, all_8_51,
% 103.00/14.50 | all_8_52, all_8_53, all_8_54, all_8_55, all_8_56, all_8_57, all_8_58,
% 103.00/14.50 | all_8_59, all_8_60, all_8_61, all_8_62, all_8_63, all_8_64 gives:
% 103.00/14.50 | (181) ((all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 = all_8_44) &
% 103.00/14.50 | op(all_8_40, e4) = all_8_0 & op(all_8_40, e3) = e4 & op(e4, e3) =
% 103.00/14.50 | all_8_40 & op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40) &
% 103.00/14.50 | $i(all_8_44)) | (all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41
% 103.00/14.50 | = all_8_48) & op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 103.00/14.50 | e4 & op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_2)
% 103.00/14.50 | & $i(all_8_41) & $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 103.00/14.50 | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42, e4) = all_8_4 &
% 103.00/14.50 | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 & op(e1, e4) =
% 103.00/14.50 | all_8_52 & $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) | (all_8_7
% 103.00/14.50 | = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 = all_8_56) &
% 103.00/14.50 | op(all_8_43, e4) = all_8_6 & op(all_8_43, e0) = e4 & op(e4, e0) =
% 103.00/14.50 | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_6) & $i(all_8_43) &
% 103.00/14.50 | $i(all_8_56)) | (all_8_9 = e3 & ~ (all_8_8 = e4) & ~ (all_8_40
% 103.00/14.50 | = all_8_44) & op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 103.00/14.50 | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) = all_8_44 &
% 103.00/14.50 | $i(all_8_8) & $i(all_8_40) & $i(all_8_44)) | (all_8_11 = e3 & ~
% 103.00/14.50 | (all_8_10 = e2) & ~ (all_8_45 = all_8_49) & op(all_8_45, e3) =
% 103.00/14.50 | all_8_10 & op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 & op(e2,
% 103.00/14.50 | e3) = all_8_49 & $i(all_8_10) & $i(all_8_45) & $i(all_8_49)) |
% 103.00/14.50 | (all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 103.00/14.50 | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) = e3 & op(e3, e1)
% 103.00/14.50 | = all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_12) & $i(all_8_46)
% 103.00/14.50 | & $i(all_8_53)) | (all_8_15 = e3 & ~ (all_8_14 = e0) & ~
% 103.00/14.50 | (all_8_47 = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 103.00/14.50 | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 103.00/14.50 | all_8_58 & $i(all_8_14) & $i(all_8_47) & $i(all_8_58)) |
% 103.00/14.50 | (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 103.00/14.50 | op(all_8_48, e4) = e2 & op(all_8_48, e2) = all_8_16 & op(e4, e2)
% 103.00/14.50 | = all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) & $i(all_8_41)
% 103.00/14.50 | & $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~
% 103.00/14.50 | (all_8_45 = all_8_49) & op(all_8_49, e3) = e2 & op(all_8_49, e2)
% 103.00/14.50 | = all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 103.00/14.50 | $i(all_8_18) & $i(all_8_45) & $i(all_8_49)) | (all_8_21 = e2 & ~
% 103.00/14.50 | (all_8_20 = e1) & ~ (all_8_50 = all_8_54) & op(all_8_50, e2) =
% 103.00/14.50 | all_8_20 & op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 & op(e1,
% 103.00/14.50 | e2) = all_8_54 & $i(all_8_20) & $i(all_8_50) & $i(all_8_54)) |
% 103.00/14.50 | (all_8_23 = e2 & ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 103.00/14.50 | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) = e2 & op(e2, e0)
% 103.00/14.50 | = all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_22) & $i(all_8_51)
% 103.00/14.50 | & $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 = e4) & ~
% 103.00/14.50 | (all_8_42 = all_8_52) & op(all_8_52, e4) = e1 & op(all_8_52, e1)
% 103.00/14.50 | = all_8_24 & op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.00/14.50 | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) | (all_8_27 = e1 & ~
% 103.00/14.50 | (all_8_26 = e3) & ~ (all_8_46 = all_8_53) & op(all_8_53, e3) =
% 103.00/14.50 | e1 & op(all_8_53, e1) = all_8_26 & op(e3, e1) = all_8_46 & op(e1,
% 103.00/14.50 | e3) = all_8_53 & $i(all_8_26) & $i(all_8_46) & $i(all_8_53)) |
% 103.00/14.50 | (all_8_29 = e1 & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54) &
% 103.00/14.50 | op(all_8_54, e2) = e1 & op(all_8_54, e1) = all_8_28 & op(e2, e1)
% 103.00/14.50 | = all_8_50 & op(e1, e2) = all_8_54 & $i(all_8_28) & $i(all_8_50)
% 103.00/14.50 | & $i(all_8_54)) | (all_8_31 = e1 & ~ (all_8_30 = e0) & ~
% 103.00/14.50 | (all_8_55 = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 103.00/14.50 | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 103.00/14.50 | all_8_62 & $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) |
% 103.00/14.50 | (all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 103.00/14.50 | op(all_8_56, e4) = e0 & op(all_8_56, e0) = all_8_32 & op(e4, e0)
% 103.00/14.50 | = all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32) & $i(all_8_43)
% 103.00/14.50 | & $i(all_8_56)) | (all_8_35 = e0 & ~ (all_8_34 = e3) & ~
% 103.00/14.50 | (all_8_47 = all_8_58) & op(all_8_58, e3) = e0 & op(all_8_58, e0)
% 103.00/14.50 | = all_8_34 & op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 103.00/14.50 | $i(all_8_34) & $i(all_8_47) & $i(all_8_58)) | (all_8_37 = e0 & ~
% 103.00/14.50 | (all_8_36 = e2) & ~ (all_8_51 = all_8_60) & op(all_8_60, e2) =
% 103.00/14.50 | e0 & op(all_8_60, e0) = all_8_36 & op(e2, e0) = all_8_51 & op(e0,
% 103.00/14.50 | e2) = all_8_60 & $i(all_8_36) & $i(all_8_51) & $i(all_8_60)) |
% 103.00/14.50 | (all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62) &
% 103.00/14.50 | op(all_8_62, e1) = e0 & op(all_8_62, e0) = all_8_38 & op(e1, e0)
% 103.00/14.50 | = all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38) & $i(all_8_55)
% 103.00/14.50 | & $i(all_8_62))) & ((all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40
% 103.00/14.50 | = e4) & op(e4, e4) = e3 & op(e4, e3) = all_8_40 & op(e3, e3) =
% 103.00/14.50 | e4 & $i(all_8_40)) | (all_8_57 = e3 & all_8_59 = e4 & ~
% 103.00/14.50 | (all_8_44 = e3) & op(e4, e4) = e3 & op(e3, e4) = all_8_44 &
% 103.00/14.50 | op(e3, e3) = e4 & $i(all_8_44)) | (all_8_57 = e2 & all_8_61 = e4
% 103.00/14.50 | & ~ (all_8_41 = e4) & op(e4, e4) = e2 & op(e4, e2) = all_8_41 &
% 103.00/14.50 | op(e2, e2) = e4 & $i(all_8_41)) | (all_8_57 = e2 & all_8_61 = e4
% 103.00/14.50 | & ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2, e4) = all_8_48 &
% 103.00/14.50 | op(e2, e2) = e4 & $i(all_8_48)) | (all_8_57 = e1 & all_8_63 = e4
% 103.00/14.50 | & ~ (all_8_42 = e4) & op(e4, e4) = e1 & op(e4, e1) = all_8_42 &
% 103.00/14.50 | op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 = e1 & all_8_63 = e4
% 103.00/14.50 | & ~ (all_8_52 = e1) & op(e4, e4) = e1 & op(e1, e4) = all_8_52 &
% 103.00/14.50 | op(e1, e1) = e4 & $i(all_8_52)) | (all_8_57 = e0 & all_8_64 = e4
% 103.00/14.50 | & ~ (all_8_43 = e4) & op(e4, e4) = e0 & op(e4, e0) = all_8_43 &
% 103.00/14.50 | op(e0, e0) = e4 & $i(all_8_43)) | (all_8_59 = e2 & all_8_61 = e3
% 103.00/14.50 | & ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3, e2) = all_8_45 &
% 103.00/14.50 | op(e2, e2) = e3 & $i(all_8_45)) | (all_8_59 = e2 & all_8_61 = e3
% 103.00/14.50 | & ~ (all_8_49 = e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49 &
% 103.00/14.50 | op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 = e1 & all_8_63 = e3
% 103.00/14.50 | & ~ (all_8_46 = e3) & op(e3, e3) = e1 & op(e3, e1) = all_8_46 &
% 103.00/14.50 | op(e1, e1) = e3 & $i(all_8_46)) | (all_8_59 = e1 & all_8_63 = e3
% 103.00/14.50 | & ~ (all_8_53 = e1) & op(e3, e3) = e1 & op(e1, e3) = all_8_53 &
% 103.00/14.50 | op(e1, e1) = e3 & $i(all_8_53)) | (all_8_59 = e0 & all_8_64 = e3
% 103.00/14.50 | & ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3, e0) = all_8_47 &
% 103.00/14.50 | op(e0, e0) = e3 & $i(all_8_47)) | (all_8_61 = e1 & all_8_63 = e2
% 103.00/14.50 | & ~ (all_8_50 = e2) & op(e2, e2) = e1 & op(e2, e1) = all_8_50 &
% 103.00/14.50 | op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 = e1 & all_8_63 = e2
% 103.00/14.50 | & ~ (all_8_54 = e1) & op(e2, e2) = e1 & op(e1, e2) = all_8_54 &
% 103.00/14.50 | op(e1, e1) = e2 & $i(all_8_54)) | (all_8_61 = e0 & all_8_64 = e2
% 103.00/14.50 | & ~ (all_8_51 = e2) & op(e2, e2) = e0 & op(e2, e0) = all_8_51 &
% 103.00/14.50 | op(e0, e0) = e2 & $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 103.00/14.50 | $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 =
% 103.00/14.50 | e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 103.00/14.50 | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58
% 103.00/14.50 | = e0) & op(e3, e3) = e0 & op(e0, e3) = all_8_58 &
% 103.00/14.50 | $i(all_8_58)) | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60
% 103.00/14.50 | = e0) & op(e2, e2) = e0 & op(e0, e2) = all_8_60 &
% 103.00/14.50 | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_55
% 103.00/14.50 | = e1) & op(e1, e1) = e0 & op(e1, e0) = all_8_55 &
% 103.00/14.50 | $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62
% 103.00/14.50 | = e0) & op(e1, e1) = e0 & op(e0, e1) = all_8_62 &
% 103.00/14.50 | $i(all_8_62)))))
% 103.00/14.50 |
% 103.00/14.50 | ALPHA: (181) implies:
% 103.00/14.51 | (182) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 = e4) & op(e4, e4) = e3
% 103.00/14.51 | & op(e4, e3) = all_8_40 & op(e3, e3) = e4 & $i(all_8_40)) |
% 103.00/14.51 | (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4, e4) = e3
% 103.00/14.51 | & op(e3, e4) = all_8_44 & op(e3, e3) = e4 & $i(all_8_44)) |
% 103.00/14.51 | (all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2
% 103.00/14.51 | & op(e4, e2) = all_8_41 & op(e2, e2) = e4 & $i(all_8_41)) |
% 103.00/14.51 | (all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_48 = e2) & op(e4, e4) = e2
% 103.00/14.51 | & op(e2, e4) = all_8_48 & op(e2, e2) = e4 & $i(all_8_48)) |
% 103.00/14.51 | (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 = e4) & op(e4, e4) = e1
% 103.00/14.51 | & op(e4, e1) = all_8_42 & op(e1, e1) = e4 & $i(all_8_42)) |
% 103.00/14.51 | (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4, e4) = e1
% 103.00/14.51 | & op(e1, e4) = all_8_52 & op(e1, e1) = e4 & $i(all_8_52)) |
% 103.00/14.51 | (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_43 = e4) & op(e4, e4) = e0
% 103.00/14.51 | & op(e4, e0) = all_8_43 & op(e0, e0) = e4 & $i(all_8_43)) |
% 103.00/14.51 | (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_45 = e3) & op(e3, e3) = e2
% 103.00/14.51 | & op(e3, e2) = all_8_45 & op(e2, e2) = e3 & $i(all_8_45)) |
% 103.00/14.51 | (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 = e2) & op(e3, e3) = e2
% 103.00/14.51 | & op(e2, e3) = all_8_49 & op(e2, e2) = e3 & $i(all_8_49)) |
% 103.00/14.51 | (all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3, e3) = e1
% 103.00/14.51 | & op(e3, e1) = all_8_46 & op(e1, e1) = e3 & $i(all_8_46)) |
% 103.00/14.51 | (all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1
% 103.00/14.51 | & op(e1, e3) = all_8_53 & op(e1, e1) = e3 & $i(all_8_53)) |
% 103.00/14.51 | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_47 = e3) & op(e3, e3) = e0
% 103.00/14.51 | & op(e3, e0) = all_8_47 & op(e0, e0) = e3 & $i(all_8_47)) |
% 103.00/14.51 | (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 = e2) & op(e2, e2) = e1
% 103.00/14.51 | & op(e2, e1) = all_8_50 & op(e1, e1) = e2 & $i(all_8_50)) |
% 103.00/14.51 | (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2, e2) = e1
% 103.00/14.51 | & op(e1, e2) = all_8_54 & op(e1, e1) = e2 & $i(all_8_54)) |
% 103.00/14.51 | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_51 = e2) & op(e2, e2) = e0
% 103.00/14.51 | & op(e2, e0) = all_8_51 & op(e0, e0) = e2 & $i(all_8_51)) | (op(e0,
% 103.00/14.51 | e0) = all_8_64 & $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 &
% 103.00/14.51 | ~ (all_8_56 = e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 103.00/14.51 | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58 =
% 103.00/14.51 | e0) & op(e3, e3) = e0 & op(e0, e3) = all_8_58 & $i(all_8_58))
% 103.00/14.51 | | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 103.00/14.51 | e2) = e0 & op(e0, e2) = all_8_60 & $i(all_8_60)) | (all_8_63
% 103.00/14.51 | = e0 & all_8_64 = e1 & ~ (all_8_55 = e1) & op(e1, e1) = e0 &
% 103.00/14.51 | op(e1, e0) = all_8_55 & $i(all_8_55)) | (all_8_63 = e0 &
% 103.00/14.51 | all_8_64 = e1 & ~ (all_8_62 = e0) & op(e1, e1) = e0 & op(e0,
% 103.00/14.51 | e1) = all_8_62 & $i(all_8_62))))
% 103.00/14.51 | (183) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 = all_8_44) &
% 103.00/14.51 | op(all_8_40, e4) = all_8_0 & op(all_8_40, e3) = e4 & op(e4, e3) =
% 103.00/14.51 | all_8_40 & op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40) &
% 103.00/14.51 | $i(all_8_44)) | (all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41 =
% 103.00/14.51 | all_8_48) & op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) = e4 &
% 103.00/14.51 | op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_2) &
% 103.00/14.51 | $i(all_8_41) & $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 = e1) &
% 103.00/14.51 | ~ (all_8_42 = all_8_52) & op(all_8_42, e4) = all_8_4 & op(all_8_42,
% 103.00/14.51 | e1) = e4 & op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.00/14.51 | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) | (all_8_7 = e4 & ~
% 103.00/14.51 | (all_8_6 = e0) & ~ (all_8_43 = all_8_56) & op(all_8_43, e4) =
% 103.00/14.51 | all_8_6 & op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 & op(e0,
% 103.00/14.51 | e4) = all_8_56 & $i(all_8_6) & $i(all_8_43) & $i(all_8_56)) |
% 103.00/14.51 | (all_8_9 = e3 & ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 103.00/14.51 | op(all_8_44, e4) = e3 & op(all_8_44, e3) = all_8_8 & op(e4, e3) =
% 103.00/14.51 | all_8_40 & op(e3, e4) = all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 103.00/14.51 | $i(all_8_44)) | (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 103.00/14.51 | = all_8_49) & op(all_8_45, e3) = all_8_10 & op(all_8_45, e2) = e3
% 103.00/14.51 | & op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_10) &
% 103.00/14.51 | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 & ~ (all_8_12 = e1)
% 103.00/14.51 | & ~ (all_8_46 = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 103.00/14.51 | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 103.00/14.51 | all_8_53 & $i(all_8_12) & $i(all_8_46) & $i(all_8_53)) | (all_8_15
% 103.00/14.51 | = e3 & ~ (all_8_14 = e0) & ~ (all_8_47 = all_8_58) & op(all_8_47,
% 103.00/14.51 | e3) = all_8_14 & op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 103.00/14.51 | op(e0, e3) = all_8_58 & $i(all_8_14) & $i(all_8_47) & $i(all_8_58))
% 103.00/14.51 | | (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 103.00/14.51 | op(all_8_48, e4) = e2 & op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 103.00/14.51 | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) & $i(all_8_41) &
% 103.00/14.51 | $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 103.00/14.51 | = all_8_49) & op(all_8_49, e3) = e2 & op(all_8_49, e2) = all_8_18
% 103.00/14.51 | & op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18) &
% 103.00/14.51 | $i(all_8_45) & $i(all_8_49)) | (all_8_21 = e2 & ~ (all_8_20 = e1)
% 103.00/14.51 | & ~ (all_8_50 = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 103.00/14.51 | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 103.00/14.51 | all_8_54 & $i(all_8_20) & $i(all_8_50) & $i(all_8_54)) | (all_8_23
% 103.00/14.51 | = e2 & ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) & op(all_8_51,
% 103.00/14.51 | e2) = all_8_22 & op(all_8_51, e0) = e2 & op(e2, e0) = all_8_51 &
% 103.00/14.51 | op(e0, e2) = all_8_60 & $i(all_8_22) & $i(all_8_51) & $i(all_8_60))
% 103.00/14.51 | | (all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42 = all_8_52) &
% 103.00/14.51 | op(all_8_52, e4) = e1 & op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 103.00/14.51 | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24) & $i(all_8_42) &
% 103.00/14.51 | $i(all_8_52)) | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 103.00/14.51 | = all_8_53) & op(all_8_53, e3) = e1 & op(all_8_53, e1) = all_8_26
% 103.00/14.51 | & op(e3, e1) = all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26) &
% 103.00/14.51 | $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1 & ~ (all_8_28 = e2)
% 103.00/14.51 | & ~ (all_8_50 = all_8_54) & op(all_8_54, e2) = e1 & op(all_8_54,
% 103.00/14.51 | e1) = all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 &
% 103.00/14.51 | $i(all_8_28) & $i(all_8_50) & $i(all_8_54)) | (all_8_31 = e1 & ~
% 103.00/14.51 | (all_8_30 = e0) & ~ (all_8_55 = all_8_62) & op(all_8_55, e1) =
% 103.00/14.51 | all_8_30 & op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 & op(e0,
% 103.00/14.51 | e1) = all_8_62 & $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) |
% 103.00/14.51 | (all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 103.00/14.51 | op(all_8_56, e4) = e0 & op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 103.00/14.51 | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 103.00/14.51 | $i(all_8_56)) | (all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 103.00/14.51 | = all_8_58) & op(all_8_58, e3) = e0 & op(all_8_58, e0) = all_8_34
% 103.00/14.51 | & op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34) &
% 103.00/14.51 | $i(all_8_47) & $i(all_8_58)) | (all_8_37 = e0 & ~ (all_8_36 = e2)
% 103.00/14.51 | & ~ (all_8_51 = all_8_60) & op(all_8_60, e2) = e0 & op(all_8_60,
% 103.00/14.51 | e0) = all_8_36 & op(e2, e0) = all_8_51 & op(e0, e2) = all_8_60 &
% 103.00/14.51 | $i(all_8_36) & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0 & ~
% 103.00/14.51 | (all_8_38 = e1) & ~ (all_8_55 = all_8_62) & op(all_8_62, e1) = e0
% 103.00/14.51 | & op(all_8_62, e0) = all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1)
% 103.00/14.51 | = all_8_62 & $i(all_8_38) & $i(all_8_55) & $i(all_8_62))
% 103.00/14.51 |
% 103.00/14.51 | DELTA: instantiating (13) with fresh symbols all_9_0, all_9_1, all_9_2,
% 103.00/14.51 | all_9_3, all_9_4, all_9_5, all_9_6, all_9_7, all_9_8, all_9_9,
% 103.00/14.51 | all_9_10, all_9_11, all_9_12, all_9_13, all_9_14, all_9_15, all_9_16,
% 103.00/14.51 | all_9_17, all_9_18, all_9_19, all_9_20, all_9_21, all_9_22, all_9_23,
% 103.00/14.51 | all_9_24 gives:
% 103.00/14.52 | (184) ((all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 & op(e4, e3) = e4)
% 103.00/14.52 | | (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 & op(e4, e1) =
% 103.00/14.52 | e4) | (all_9_16 = e4 & op(e4, e0) = e4)) & ((all_9_0 = e4 &
% 103.00/14.52 | op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_6 =
% 103.00/14.52 | e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 103.00/14.52 | (all_9_20 = e4 & op(e0, e4) = e4)) & ((all_9_0 = e3 & op(e4, e4) =
% 103.00/14.52 | e3) | (all_9_1 = e3 & op(e4, e3) = e3) | (all_9_4 = e3 & op(e4,
% 103.00/14.52 | e2) = e3) | (all_9_9 = e3 & op(e4, e1) = e3) | (all_9_16 = e3 &
% 103.00/14.52 | op(e4, e0) = e3)) & ((all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2
% 103.00/14.52 | = e3 & op(e3, e4) = e3) | (all_9_6 = e3 & op(e2, e4) = e3) |
% 103.00/14.52 | (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) =
% 103.00/14.52 | e3)) & ((all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4,
% 103.00/14.52 | e3) = e2) | (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 &
% 103.00/14.52 | op(e4, e1) = e2) | (all_9_16 = e2 & op(e4, e0) = e2)) & ((all_9_0
% 103.00/14.52 | = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 103.00/14.52 | (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) =
% 103.00/14.52 | e2) | (all_9_20 = e2 & op(e0, e4) = e2)) & ((all_9_0 = e1 &
% 103.00/14.52 | op(e4, e4) = e1) | (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_4 =
% 103.00/14.52 | e1 & op(e4, e2) = e1) | (all_9_9 = e1 & op(e4, e1) = e1) |
% 103.00/14.52 | (all_9_16 = e1 & op(e4, e0) = e1)) & ((all_9_0 = e1 & op(e4, e4) =
% 103.00/14.52 | e1) | (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_6 = e1 & op(e2,
% 103.00/14.52 | e4) = e1) | (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_20 = e1
% 103.00/14.52 | & op(e0, e4) = e1)) & ((all_9_0 = e0 & op(e4, e4) = e0) |
% 103.00/14.52 | (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_4 = e0 & op(e4, e2) = e0)
% 103.00/14.52 | | (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_16 = e0 & op(e4, e0) =
% 103.00/14.52 | e0)) & ((all_9_0 = e0 & op(e4, e4) = e0) | (all_9_2 = e0 & op(e3,
% 103.00/14.52 | e4) = e0) | (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_12 = e0 &
% 103.00/14.52 | op(e1, e4) = e0) | (all_9_20 = e0 & op(e0, e4) = e0)) & ((all_9_1
% 103.00/14.52 | = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.00/14.52 | (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) =
% 103.00/14.52 | e4) | (all_9_21 = e4 & op(e0, e3) = e4)) & ((all_9_1 = e3 &
% 103.00/14.52 | op(e4, e3) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) | (all_9_7 =
% 103.00/14.52 | e3 & op(e2, e3) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 103.00/14.52 | (all_9_21 = e3 & op(e0, e3) = e3)) & ((all_9_1 = e2 & op(e4, e3) =
% 103.00/14.52 | e2) | (all_9_3 = e2 & op(e3, e3) = e2) | (all_9_7 = e2 & op(e2,
% 103.00/14.52 | e3) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) | (all_9_21 = e2
% 103.00/14.52 | & op(e0, e3) = e2)) & ((all_9_1 = e1 & op(e4, e3) = e1) |
% 103.00/14.52 | (all_9_3 = e1 & op(e3, e3) = e1) | (all_9_7 = e1 & op(e2, e3) = e1)
% 103.00/14.52 | | (all_9_13 = e1 & op(e1, e3) = e1) | (all_9_21 = e1 & op(e0, e3) =
% 103.00/14.52 | e1)) & ((all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3,
% 103.00/14.52 | e3) = e0) | (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 &
% 103.00/14.52 | op(e1, e3) = e0) | (all_9_21 = e0 & op(e0, e3) = e0)) & ((all_9_2
% 103.00/14.52 | = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.00/14.52 | (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) =
% 103.00/14.52 | e4) | (all_9_17 = e4 & op(e3, e0) = e4)) & ((all_9_2 = e3 &
% 103.00/14.52 | op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) | (all_9_5 =
% 103.00/14.52 | e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 103.00/14.52 | (all_9_17 = e3 & op(e3, e0) = e3)) & ((all_9_2 = e2 & op(e3, e4) =
% 103.00/14.52 | e2) | (all_9_3 = e2 & op(e3, e3) = e2) | (all_9_5 = e2 & op(e3,
% 103.00/14.52 | e2) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) | (all_9_17 = e2
% 103.00/14.52 | & op(e3, e0) = e2)) & ((all_9_2 = e1 & op(e3, e4) = e1) |
% 103.00/14.52 | (all_9_3 = e1 & op(e3, e3) = e1) | (all_9_5 = e1 & op(e3, e2) = e1)
% 103.00/14.52 | | (all_9_10 = e1 & op(e3, e1) = e1) | (all_9_17 = e1 & op(e3, e0) =
% 103.00/14.52 | e1)) & ((all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3,
% 103.00/14.52 | e3) = e0) | (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 &
% 103.00/14.52 | op(e3, e1) = e0) | (all_9_17 = e0 & op(e3, e0) = e0)) & ((all_9_4
% 103.00/14.52 | = e4 & op(e4, e2) = e4) | (all_9_5 = e4 & op(e3, e2) = e4) |
% 103.00/14.52 | (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_14 = e4 & op(e1, e2) =
% 103.00/14.52 | e4) | (all_9_22 = e4 & op(e0, e2) = e4)) & ((all_9_4 = e3 &
% 103.00/14.52 | op(e4, e2) = e3) | (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_8 =
% 103.00/14.52 | e3 & op(e2, e2) = e3) | (all_9_14 = e3 & op(e1, e2) = e3) |
% 103.00/14.52 | (all_9_22 = e3 & op(e0, e2) = e3)) & ((all_9_4 = e2 & op(e4, e2) =
% 103.00/14.52 | e2) | (all_9_5 = e2 & op(e3, e2) = e2) | (all_9_8 = e2 & op(e2,
% 103.00/14.52 | e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_22 = e2
% 103.00/14.52 | & op(e0, e2) = e2)) & ((all_9_4 = e1 & op(e4, e2) = e1) |
% 103.00/14.52 | (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_8 = e1 & op(e2, e2) = e1)
% 103.00/14.52 | | (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0, e2) =
% 103.00/14.52 | e1)) & ((all_9_4 = e0 & op(e4, e2) = e0) | (all_9_5 = e0 & op(e3,
% 103.00/14.52 | e2) = e0) | (all_9_8 = e0 & op(e2, e2) = e0) | (all_9_14 = e0 &
% 103.00/14.52 | op(e1, e2) = e0) | (all_9_22 = e0 & op(e0, e2) = e0)) & ((all_9_6
% 103.00/14.52 | = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 103.00/14.52 | (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) =
% 103.00/14.52 | e4) | (all_9_18 = e4 & op(e2, e0) = e4)) & ((all_9_6 = e3 &
% 103.00/14.52 | op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) | (all_9_8 =
% 103.00/14.52 | e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 103.00/14.52 | (all_9_18 = e3 & op(e2, e0) = e3)) & ((all_9_6 = e2 & op(e2, e4) =
% 103.00/14.52 | e2) | (all_9_7 = e2 & op(e2, e3) = e2) | (all_9_8 = e2 & op(e2,
% 103.00/14.52 | e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2
% 103.00/14.52 | & op(e2, e0) = e2)) & ((all_9_6 = e1 & op(e2, e4) = e1) |
% 103.00/14.52 | (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_8 = e1 & op(e2, e2) = e1)
% 103.00/14.52 | | (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_18 = e1 & op(e2, e0) =
% 103.00/14.52 | e1)) & ((all_9_6 = e0 & op(e2, e4) = e0) | (all_9_7 = e0 & op(e2,
% 103.00/14.52 | e3) = e0) | (all_9_8 = e0 & op(e2, e2) = e0) | (all_9_11 = e0 &
% 103.00/14.52 | op(e2, e1) = e0) | (all_9_18 = e0 & op(e2, e0) = e0)) & ((all_9_9
% 103.00/14.52 | = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 103.00/14.52 | (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 103.00/14.52 | e4) | (all_9_23 = e4 & op(e0, e1) = e4)) & ((all_9_9 = e3 &
% 103.00/14.52 | op(e4, e1) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_11
% 103.00/14.52 | = e3 & op(e2, e1) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 103.00/14.52 | (all_9_23 = e3 & op(e0, e1) = e3)) & ((all_9_9 = e2 & op(e4, e1) =
% 103.00/14.52 | e2) | (all_9_10 = e2 & op(e3, e1) = e2) | (all_9_11 = e2 & op(e2,
% 103.00/14.52 | e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_23 = e2
% 103.00/14.52 | & op(e0, e1) = e2)) & ((all_9_9 = e1 & op(e4, e1) = e1) |
% 103.00/14.52 | (all_9_10 = e1 & op(e3, e1) = e1) | (all_9_11 = e1 & op(e2, e1) =
% 103.00/14.52 | e1) | (all_9_15 = e1 & op(e1, e1) = e1) | (all_9_23 = e1 & op(e0,
% 103.00/14.52 | e1) = e1)) & ((all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0
% 103.00/14.52 | & op(e3, e1) = e0) | (all_9_11 = e0 & op(e2, e1) = e0) |
% 103.00/14.52 | (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1) =
% 103.00/14.52 | e0)) & ((all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 &
% 103.00/14.52 | op(e1, e3) = e4) | (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15
% 103.00/14.52 | = e4 & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0) = e4)) &
% 103.00/14.52 | ((all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) =
% 103.00/14.52 | e3) | (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1,
% 103.00/14.52 | e1) = e3) | (all_9_19 = e3 & op(e1, e0) = e3)) & ((all_9_12 =
% 103.00/14.52 | e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 103.00/14.52 | (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) =
% 103.00/14.52 | e2) | (all_9_19 = e2 & op(e1, e0) = e2)) & ((all_9_12 = e1 &
% 103.00/14.52 | op(e1, e4) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) | (all_9_14
% 103.00/14.52 | = e1 & op(e1, e2) = e1) | (all_9_15 = e1 & op(e1, e1) = e1) |
% 103.00/14.52 | (all_9_19 = e1 & op(e1, e0) = e1)) & ((all_9_12 = e0 & op(e1, e4) =
% 103.00/14.52 | e0) | (all_9_13 = e0 & op(e1, e3) = e0) | (all_9_14 = e0 & op(e1,
% 103.00/14.52 | e2) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_19 = e0
% 103.00/14.52 | & op(e1, e0) = e0)) & ((all_9_16 = e4 & op(e4, e0) = e4) |
% 103.00/14.52 | (all_9_17 = e4 & op(e3, e0) = e4) | (all_9_18 = e4 & op(e2, e0) =
% 103.00/14.52 | e4) | (all_9_19 = e4 & op(e1, e0) = e4) | (all_9_24 = e4 & op(e0,
% 103.00/14.52 | e0) = e4)) & ((all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 =
% 103.00/14.52 | e3 & op(e3, e0) = e3) | (all_9_18 = e3 & op(e2, e0) = e3) |
% 103.00/14.52 | (all_9_19 = e3 & op(e1, e0) = e3) | (all_9_24 = e3 & op(e0, e0) =
% 103.00/14.52 | e3)) & ((all_9_16 = e2 & op(e4, e0) = e2) | (all_9_17 = e2 &
% 103.00/14.52 | op(e3, e0) = e2) | (all_9_18 = e2 & op(e2, e0) = e2) | (all_9_19
% 103.00/14.52 | = e2 & op(e1, e0) = e2) | (all_9_24 = e2 & op(e0, e0) = e2)) &
% 103.00/14.52 | ((all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) =
% 103.00/14.52 | e1) | (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1,
% 103.00/14.52 | e0) = e1) | (all_9_24 = e1 & op(e0, e0) = e1)) & ((all_9_20 =
% 103.00/14.52 | e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 103.00/14.52 | (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 103.00/14.52 | e4) | (all_9_24 = e4 & op(e0, e0) = e4)) & ((all_9_20 = e3 &
% 103.00/14.52 | op(e0, e4) = e3) | (all_9_21 = e3 & op(e0, e3) = e3) | (all_9_22
% 103.00/14.52 | = e3 & op(e0, e2) = e3) | (all_9_23 = e3 & op(e0, e1) = e3) |
% 103.00/14.52 | (all_9_24 = e3 & op(e0, e0) = e3)) & ((all_9_20 = e2 & op(e0, e4) =
% 103.00/14.52 | e2) | (all_9_21 = e2 & op(e0, e3) = e2) | (all_9_22 = e2 & op(e0,
% 103.00/14.52 | e2) = e2) | (all_9_23 = e2 & op(e0, e1) = e2) | (all_9_24 = e2
% 103.00/14.52 | & op(e0, e0) = e2)) & ((all_9_20 = e1 & op(e0, e4) = e1) |
% 103.00/14.52 | (all_9_21 = e1 & op(e0, e3) = e1) | (all_9_22 = e1 & op(e0, e2) =
% 103.00/14.52 | e1) | (all_9_23 = e1 & op(e0, e1) = e1) | (all_9_24 = e1 & op(e0,
% 103.00/14.52 | e0) = e1)) & ((all_9_24 = e0 & op(e0, e0) = e0) | (((all_9_16 =
% 103.00/14.52 | e0 & op(e4, e0) = e0) | (all_9_17 = e0 & op(e3, e0) = e0) |
% 103.00/14.52 | (all_9_18 = e0 & op(e2, e0) = e0) | (all_9_19 = e0 & op(e1, e0)
% 103.00/14.52 | = e0)) & ((all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0
% 103.00/14.52 | & op(e0, e3) = e0) | (all_9_22 = e0 & op(e0, e2) = e0) |
% 103.00/14.52 | (all_9_23 = e0 & op(e0, e1) = e0))))
% 103.00/14.52 |
% 103.00/14.52 | ALPHA: (184) implies:
% 103.00/14.52 | (185) (all_9_24 = e0 & op(e0, e0) = e0) | (((all_9_16 = e0 & op(e4, e0) =
% 103.00/14.52 | e0) | (all_9_17 = e0 & op(e3, e0) = e0) | (all_9_18 = e0 &
% 103.00/14.52 | op(e2, e0) = e0) | (all_9_19 = e0 & op(e1, e0) = e0)) &
% 103.00/14.52 | ((all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) =
% 103.00/14.52 | e0) | (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 &
% 103.00/14.52 | op(e0, e1) = e0)))
% 103.00/14.52 | (186) (all_9_20 = e1 & op(e0, e4) = e1) | (all_9_21 = e1 & op(e0, e3) = e1)
% 103.00/14.52 | | (all_9_22 = e1 & op(e0, e2) = e1) | (all_9_23 = e1 & op(e0, e1) =
% 103.00/14.52 | e1) | (all_9_24 = e1 & op(e0, e0) = e1)
% 103.00/14.52 | (187) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4)
% 103.00/14.52 | | (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 103.00/14.52 | e4) | (all_9_24 = e4 & op(e0, e0) = e4)
% 103.00/14.52 | (188) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1)
% 103.00/14.52 | | (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) =
% 103.00/14.52 | e1) | (all_9_24 = e1 & op(e0, e0) = e1)
% 103.00/14.52 | (189) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3)
% 103.00/14.52 | | (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) =
% 103.00/14.52 | e3) | (all_9_24 = e3 & op(e0, e0) = e3)
% 103.00/14.52 | (190) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4)
% 103.00/14.52 | | (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) =
% 103.00/14.52 | e4) | (all_9_24 = e4 & op(e0, e0) = e4)
% 103.00/14.52 | (191) (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_13 = e1 & op(e1, e3) = e1)
% 103.00/14.52 | | (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_15 = e1 & op(e1, e1) =
% 103.00/14.52 | e1) | (all_9_19 = e1 & op(e1, e0) = e1)
% 103.00/14.52 | (192) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2)
% 103.00/14.52 | | (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) =
% 103.00/14.52 | e2) | (all_9_19 = e2 & op(e1, e0) = e2)
% 103.00/14.53 | (193) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3)
% 103.00/14.53 | | (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) =
% 103.00/14.53 | e3) | (all_9_19 = e3 & op(e1, e0) = e3)
% 103.00/14.53 | (194) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4)
% 103.00/14.53 | | (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 103.00/14.53 | e4) | (all_9_19 = e4 & op(e1, e0) = e4)
% 103.00/14.53 | (195) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0)
% 103.00/14.53 | | (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) =
% 103.00/14.53 | e0) | (all_9_23 = e0 & op(e0, e1) = e0)
% 103.00/14.53 | (196) (all_9_9 = e1 & op(e4, e1) = e1) | (all_9_10 = e1 & op(e3, e1) = e1)
% 103.00/14.53 | | (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_15 = e1 & op(e1, e1) =
% 103.00/14.53 | e1) | (all_9_23 = e1 & op(e0, e1) = e1)
% 103.00/14.53 | (197) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2)
% 103.00/14.53 | | (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) =
% 103.00/14.53 | e2) | (all_9_23 = e2 & op(e0, e1) = e2)
% 103.00/14.53 | (198) (all_9_9 = e3 & op(e4, e1) = e3) | (all_9_10 = e3 & op(e3, e1) = e3)
% 103.00/14.53 | | (all_9_11 = e3 & op(e2, e1) = e3) | (all_9_15 = e3 & op(e1, e1) =
% 103.00/14.53 | e3) | (all_9_23 = e3 & op(e0, e1) = e3)
% 103.00/14.53 | (199) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 103.00/14.53 | | (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 103.00/14.53 | e4) | (all_9_23 = e4 & op(e0, e1) = e4)
% 103.00/14.53 | (200) (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_7 = e0 & op(e2, e3) = e0) |
% 103.00/14.53 | (all_9_8 = e0 & op(e2, e2) = e0) | (all_9_11 = e0 & op(e2, e1) = e0)
% 103.00/14.53 | | (all_9_18 = e0 & op(e2, e0) = e0)
% 103.00/14.53 | (201) (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_7 = e1 & op(e2, e3) = e1) |
% 103.00/14.53 | (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_11 = e1 & op(e2, e1) = e1)
% 103.00/14.53 | | (all_9_18 = e1 & op(e2, e0) = e1)
% 103.00/14.53 | (202) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 103.00/14.53 | (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2)
% 103.00/14.53 | | (all_9_18 = e2 & op(e2, e0) = e2)
% 103.00/14.53 | (203) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 103.00/14.53 | (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3)
% 103.00/14.53 | | (all_9_18 = e3 & op(e2, e0) = e3)
% 103.00/14.53 | (204) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 103.00/14.53 | (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4)
% 103.00/14.53 | | (all_9_18 = e4 & op(e2, e0) = e4)
% 103.00/14.53 | (205) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 103.00/14.53 | (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1)
% 103.00/14.53 | | (all_9_22 = e1 & op(e0, e2) = e1)
% 103.00/14.53 | (206) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 103.00/14.53 | (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2)
% 103.00/14.53 | | (all_9_22 = e2 & op(e0, e2) = e2)
% 103.00/14.53 | (207) (all_9_4 = e3 & op(e4, e2) = e3) | (all_9_5 = e3 & op(e3, e2) = e3) |
% 103.00/14.53 | (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_14 = e3 & op(e1, e2) = e3)
% 103.00/14.53 | | (all_9_22 = e3 & op(e0, e2) = e3)
% 103.00/14.53 | (208) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_5 = e4 & op(e3, e2) = e4) |
% 103.00/14.53 | (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_14 = e4 & op(e1, e2) = e4)
% 103.00/14.53 | | (all_9_22 = e4 & op(e0, e2) = e4)
% 103.00/14.53 | (209) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 103.00/14.53 | (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0)
% 103.00/14.53 | | (all_9_17 = e0 & op(e3, e0) = e0)
% 103.00/14.53 | (210) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 103.00/14.53 | (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1)
% 103.00/14.53 | | (all_9_17 = e1 & op(e3, e0) = e1)
% 103.00/14.53 | (211) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 103.00/14.53 | (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3)
% 103.00/14.53 | | (all_9_17 = e3 & op(e3, e0) = e3)
% 103.00/14.53 | (212) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.00/14.53 | (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 103.00/14.53 | | (all_9_17 = e4 & op(e3, e0) = e4)
% 103.00/14.53 | (213) (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 103.00/14.53 | (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 & op(e1, e3) = e0)
% 103.00/14.53 | | (all_9_21 = e0 & op(e0, e3) = e0)
% 103.00/14.53 | (214) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 103.00/14.53 | (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1)
% 103.00/14.53 | | (all_9_21 = e1 & op(e0, e3) = e1)
% 103.00/14.53 | (215) (all_9_1 = e2 & op(e4, e3) = e2) | (all_9_3 = e2 & op(e3, e3) = e2) |
% 103.00/14.53 | (all_9_7 = e2 & op(e2, e3) = e2) | (all_9_13 = e2 & op(e1, e3) = e2)
% 103.00/14.53 | | (all_9_21 = e2 & op(e0, e3) = e2)
% 103.00/14.53 | (216) (all_9_1 = e3 & op(e4, e3) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 103.00/14.53 | (all_9_7 = e3 & op(e2, e3) = e3) | (all_9_13 = e3 & op(e1, e3) = e3)
% 103.00/14.53 | | (all_9_21 = e3 & op(e0, e3) = e3)
% 103.00/14.53 | (217) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.00/14.53 | (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4)
% 103.00/14.53 | | (all_9_21 = e4 & op(e0, e3) = e4)
% 103.00/14.54 | (218) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_2 = e0 & op(e3, e4) = e0) |
% 103.00/14.54 | (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_12 = e0 & op(e1, e4) = e0)
% 103.00/14.54 | | (all_9_20 = e0 & op(e0, e4) = e0)
% 103.00/14.54 | (219) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 & op(e4, e3) = e0) |
% 103.00/14.54 | (all_9_4 = e0 & op(e4, e2) = e0) | (all_9_9 = e0 & op(e4, e1) = e0) |
% 103.00/14.54 | (all_9_16 = e0 & op(e4, e0) = e0)
% 103.00/14.54 | (220) (all_9_0 = e1 & op(e4, e4) = e1) | (all_9_2 = e1 & op(e3, e4) = e1) |
% 103.00/14.54 | (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_12 = e1 & op(e1, e4) = e1)
% 103.00/14.54 | | (all_9_20 = e1 & op(e0, e4) = e1)
% 103.00/14.54 | (221) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 103.00/14.54 | (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2)
% 103.00/14.54 | | (all_9_20 = e2 & op(e0, e4) = e2)
% 103.00/14.54 | (222) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 103.00/14.54 | (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 103.00/14.54 | (all_9_16 = e2 & op(e4, e0) = e2)
% 103.00/14.54 | (223) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 103.00/14.54 | (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3)
% 103.00/14.54 | | (all_9_20 = e3 & op(e0, e4) = e3)
% 103.00/14.54 | (224) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 103.00/14.54 | (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 103.00/14.54 | | (all_9_20 = e4 & op(e0, e4) = e4)
% 103.00/14.54 | (225) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 & op(e4, e3) = e4) |
% 103.00/14.54 | (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 & op(e4, e1) = e4) |
% 103.00/14.54 | (all_9_16 = e4 & op(e4, e0) = e4)
% 103.00/14.54 |
% 103.00/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_6_24, e0, e0,
% 103.00/14.54 | simplifying with (117), (143) gives:
% 103.00/14.54 | (226) all_6_24 = all_4_24
% 103.00/14.54 |
% 103.00/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_6_23, e1, e0,
% 103.00/14.54 | simplifying with (118), (144) gives:
% 103.00/14.54 | (227) all_6_23 = all_4_19
% 103.00/14.54 |
% 103.00/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_6_22, e2, e0,
% 103.00/14.54 | simplifying with (119), (145) gives:
% 103.00/14.54 | (228) all_6_22 = all_4_14
% 103.00/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_6_21, e3, e0,
% 103.44/14.54 | simplifying with (120), (146) gives:
% 103.44/14.54 | (229) all_6_21 = all_4_9
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_6_20, e4, e0,
% 103.44/14.54 | simplifying with (121), (147) gives:
% 103.44/14.54 | (230) all_6_20 = all_4_4
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_20, e0, e4, e0,
% 103.44/14.54 | simplifying with (147) gives:
% 103.44/14.54 | (231) all_6_20 = e0 | ~ (op(e0, e4) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_4, e0, e4, e0,
% 103.44/14.54 | simplifying with (121) gives:
% 103.44/14.54 | (232) all_4_4 = e0 | ~ (op(e0, e4) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_21, e0, e3, e0,
% 103.44/14.54 | simplifying with (146) gives:
% 103.44/14.54 | (233) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_9, e0, e3, e0,
% 103.44/14.54 | simplifying with (120) gives:
% 103.44/14.54 | (234) all_4_9 = e0 | ~ (op(e0, e3) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_22, e0, e2, e0,
% 103.44/14.54 | simplifying with (145) gives:
% 103.44/14.54 | (235) all_6_22 = e0 | ~ (op(e0, e2) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_23, e0, e1, e0,
% 103.44/14.54 | simplifying with (144) gives:
% 103.44/14.54 | (236) all_6_23 = e0 | ~ (op(e0, e1) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_19, e0, e1, e0,
% 103.44/14.54 | simplifying with (118) gives:
% 103.44/14.54 | (237) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_24, e0, e0, e0,
% 103.44/14.54 | simplifying with (143) gives:
% 103.44/14.54 | (238) all_6_24 = e0 | ~ (op(e0, e0) = e0)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_6_19, e0, e1,
% 103.44/14.54 | simplifying with (122), (148) gives:
% 103.44/14.54 | (239) all_6_19 = all_4_23
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_6_18, e1, e1,
% 103.44/14.54 | simplifying with (123), (149) gives:
% 103.44/14.54 | (240) all_6_18 = all_4_18
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_6_17, e2, e1,
% 103.44/14.54 | simplifying with (124), (150) gives:
% 103.44/14.54 | (241) all_6_17 = all_4_13
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_6_16, e3, e1,
% 103.44/14.54 | simplifying with (125), (151) gives:
% 103.44/14.54 | (242) all_6_16 = all_4_8
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_6_15, e4, e1,
% 103.44/14.54 | simplifying with (126), (152) gives:
% 103.44/14.54 | (243) all_6_15 = all_4_3
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with e0, all_6_15, e4, e1,
% 103.44/14.54 | simplifying with (21), (152) gives:
% 103.44/14.54 | (244) all_6_15 = e0
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_15, e1, e4, e1,
% 103.44/14.54 | simplifying with (152) gives:
% 103.44/14.54 | (245) all_6_15 = e1 | ~ (op(e1, e4) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_3, e1, e4, e1,
% 103.44/14.54 | simplifying with (126) gives:
% 103.44/14.54 | (246) all_4_3 = e1 | ~ (op(e1, e4) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_8, e1, e3, e1,
% 103.44/14.54 | simplifying with (125) gives:
% 103.44/14.54 | (247) all_4_8 = e1 | ~ (op(e1, e3) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_17, e1, e2, e1,
% 103.44/14.54 | simplifying with (150) gives:
% 103.44/14.54 | (248) all_6_17 = e1 | ~ (op(e1, e2) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_4_13, e1, e2, e1,
% 103.44/14.54 | simplifying with (124) gives:
% 103.44/14.54 | (249) all_4_13 = e1 | ~ (op(e1, e2) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_18, e1, e1, e1,
% 103.44/14.54 | simplifying with (149) gives:
% 103.44/14.54 | (250) all_6_18 = e1 | ~ (op(e1, e1) = e1)
% 103.44/14.54 |
% 103.44/14.54 | GROUND_INST: instantiating (function-axioms) with all_6_19, e1, e0, e1,
% 103.44/14.54 | simplifying with (148) gives:
% 103.44/14.55 | (251) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_23, e1, e0, e1,
% 103.44/14.55 | simplifying with (122) gives:
% 103.44/14.55 | (252) all_4_23 = e1 | ~ (op(e1, e0) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_6_14, e0, e2,
% 103.44/14.55 | simplifying with (127), (153) gives:
% 103.44/14.55 | (253) all_6_14 = all_4_22
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_6_13, e1, e2,
% 103.44/14.55 | simplifying with (128), (154) gives:
% 103.44/14.55 | (254) all_6_13 = all_4_17
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_6_11, e3, e2,
% 103.44/14.55 | simplifying with (130), (155) gives:
% 103.44/14.55 | (255) all_6_11 = all_4_7
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2,
% 103.44/14.55 | simplifying with (131), (156) gives:
% 103.44/14.55 | (256) all_6_10 = all_4_2
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_2, e2, e4, e2,
% 103.44/14.55 | simplifying with (131) gives:
% 103.44/14.55 | (257) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_11, e2, e3, e2,
% 103.44/14.55 | simplifying with (155) gives:
% 103.44/14.55 | (258) all_6_11 = e2 | ~ (op(e2, e3) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_7, e2, e3, e2,
% 103.44/14.55 | simplifying with (130) gives:
% 103.44/14.55 | (259) all_4_7 = e2 | ~ (op(e2, e3) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_12, e2, e2, e2,
% 103.44/14.55 | simplifying with (129) gives:
% 103.44/14.55 | (260) all_4_12 = e2 | ~ (op(e2, e2) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_13, e2, e1, e2,
% 103.44/14.55 | simplifying with (154) gives:
% 103.44/14.55 | (261) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_14, e2, e0, e2,
% 103.44/14.55 | simplifying with (153) gives:
% 103.44/14.55 | (262) all_6_14 = e2 | ~ (op(e2, e0) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_6_9, e0, e3,
% 103.44/14.55 | simplifying with (132), (157) gives:
% 103.44/14.55 | (263) all_6_9 = all_4_21
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_6_8, e1, e3,
% 103.44/14.55 | simplifying with (133), (158) gives:
% 103.44/14.55 | (264) all_6_8 = all_4_16
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_6_7, e2, e3,
% 103.44/14.55 | simplifying with (134), (159) gives:
% 103.44/14.55 | (265) all_6_7 = all_4_11
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_6_6, e3, e3,
% 103.44/14.55 | simplifying with (135), (160) gives:
% 103.44/14.55 | (266) all_6_6 = all_4_6
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_6_5, e4, e3,
% 103.44/14.55 | simplifying with (136), (161) gives:
% 103.44/14.55 | (267) all_6_5 = all_4_1
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e2, all_6_5, e4, e3,
% 103.44/14.55 | simplifying with (22), (161) gives:
% 103.44/14.55 | (268) all_6_5 = e2
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_5, e3, e4, e3,
% 103.44/14.55 | simplifying with (161) gives:
% 103.44/14.55 | (269) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e2, e3, e4, e3, simplifying
% 103.44/14.55 | with (22) gives:
% 103.44/14.55 | (270) e3 = e2 | ~ (op(e3, e4) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_6, e3, e3, e3,
% 103.44/14.55 | simplifying with (135) gives:
% 103.44/14.55 | (271) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_7, e3, e2, e3,
% 103.44/14.55 | simplifying with (159) gives:
% 103.44/14.55 | (272) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_11, e3, e2, e3,
% 103.44/14.55 | simplifying with (134) gives:
% 103.44/14.55 | (273) all_4_11 = e3 | ~ (op(e3, e2) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_16, e3, e1, e3,
% 103.44/14.55 | simplifying with (133) gives:
% 103.44/14.55 | (274) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_21, e3, e0, e3,
% 103.44/14.55 | simplifying with (132) gives:
% 103.44/14.55 | (275) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_6_4, e0, e4,
% 103.44/14.55 | simplifying with (137), (162) gives:
% 103.44/14.55 | (276) all_6_4 = all_4_20
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_6_3, e1, e4,
% 103.44/14.55 | simplifying with (138), (163) gives:
% 103.44/14.55 | (277) all_6_3 = all_4_15
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e3, all_6_3, e1, e4,
% 103.44/14.55 | simplifying with (23), (163) gives:
% 103.44/14.55 | (278) all_6_3 = e3
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_6_2, e2, e4,
% 103.44/14.55 | simplifying with (139), (164) gives:
% 103.44/14.55 | (279) all_6_2 = all_4_10
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_6_1, e3, e4,
% 103.44/14.55 | simplifying with (140), (165) gives:
% 103.44/14.55 | (280) all_6_1 = all_4_5
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_6_0, e4, e4,
% 103.44/14.55 | simplifying with (141), (166) gives:
% 103.44/14.55 | (281) all_6_0 = all_4_0
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e1, all_6_0, e4, e4,
% 103.44/14.55 | simplifying with (24), (166) gives:
% 103.44/14.55 | (282) all_6_0 = e1
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_0, e4, e4, e4,
% 103.44/14.55 | simplifying with (166) gives:
% 103.44/14.55 | (283) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_0, e4, e4, e4,
% 103.44/14.55 | simplifying with (141) gives:
% 103.44/14.55 | (284) all_4_0 = e4 | ~ (op(e4, e4) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e1, e4, e4, e4, simplifying
% 103.44/14.55 | with (24) gives:
% 103.44/14.55 | (285) e4 = e1 | ~ (op(e4, e4) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_5, e4, e3, e4,
% 103.44/14.55 | simplifying with (140) gives:
% 103.44/14.55 | (286) all_4_5 = e4 | ~ (op(e4, e3) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_10, e4, e2, e4,
% 103.44/14.55 | simplifying with (139) gives:
% 103.44/14.55 | (287) all_4_10 = e4 | ~ (op(e4, e2) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_3, e4, e1, e4,
% 103.44/14.55 | simplifying with (163) gives:
% 103.44/14.55 | (288) all_6_3 = e4 | ~ (op(e4, e1) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_15, e4, e1, e4,
% 103.44/14.55 | simplifying with (138) gives:
% 103.44/14.55 | (289) all_4_15 = e4 | ~ (op(e4, e1) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e3, e4, e1, e4, simplifying
% 103.44/14.55 | with (23) gives:
% 103.44/14.55 | (290) e4 = e3 | ~ (op(e4, e1) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_4, e4, e0, e4,
% 103.44/14.55 | simplifying with (162) gives:
% 103.44/14.55 | (291) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_4, e0, e0, e4,
% 103.44/14.55 | simplifying with (162) gives:
% 103.44/14.55 | (292) all_6_4 = e0 | ~ (op(e4, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_20, e0, e0, e4,
% 103.44/14.55 | simplifying with (137) gives:
% 103.44/14.55 | (293) all_4_20 = e0 | ~ (op(e4, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_9, e0, e0, e3,
% 103.44/14.55 | simplifying with (157) gives:
% 103.44/14.55 | (294) all_6_9 = e0 | ~ (op(e3, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_21, e0, e0, e3,
% 103.44/14.55 | simplifying with (132) gives:
% 103.44/14.55 | (295) all_4_21 = e0 | ~ (op(e3, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_14, e0, e0, e2,
% 103.44/14.55 | simplifying with (153) gives:
% 103.44/14.55 | (296) all_6_14 = e0 | ~ (op(e2, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_23, e0, e0, e1,
% 103.44/14.55 | simplifying with (122) gives:
% 103.44/14.55 | (297) all_4_23 = e0 | ~ (op(e1, e0) = e0)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_3, e1, e1, e4,
% 103.44/14.55 | simplifying with (163) gives:
% 103.44/14.55 | (298) all_6_3 = e1 | ~ (op(e4, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_15, e1, e1, e4,
% 103.44/14.55 | simplifying with (138) gives:
% 103.44/14.55 | (299) all_4_15 = e1 | ~ (op(e4, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with e3, e1, e1, e4, simplifying
% 103.44/14.55 | with (23) gives:
% 103.44/14.55 | (300) e3 = e1 | ~ (op(e4, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_8, e1, e1, e3,
% 103.44/14.55 | simplifying with (158) gives:
% 103.44/14.55 | (301) all_6_8 = e1 | ~ (op(e3, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_16, e1, e1, e3,
% 103.44/14.55 | simplifying with (133) gives:
% 103.44/14.55 | (302) all_4_16 = e1 | ~ (op(e3, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_17, e1, e1, e2,
% 103.44/14.55 | simplifying with (128) gives:
% 103.44/14.55 | (303) all_4_17 = e1 | ~ (op(e2, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_19, e1, e1, e0,
% 103.44/14.55 | simplifying with (118) gives:
% 103.44/14.55 | (304) all_4_19 = e1 | ~ (op(e0, e1) = e1)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_10, e2, e2, e4,
% 103.44/14.55 | simplifying with (139) gives:
% 103.44/14.55 | (305) all_4_10 = e2 | ~ (op(e4, e2) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_4_11, e2, e2, e3,
% 103.44/14.55 | simplifying with (134) gives:
% 103.44/14.55 | (306) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 103.44/14.55 |
% 103.44/14.55 | GROUND_INST: instantiating (function-axioms) with all_6_17, e2, e2, e1,
% 103.44/14.55 | simplifying with (150) gives:
% 103.44/14.56 | (307) all_6_17 = e2 | ~ (op(e1, e2) = e2)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_13, e2, e2, e1,
% 103.44/14.56 | simplifying with (124) gives:
% 103.44/14.56 | (308) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_14, e2, e2, e0,
% 103.44/14.56 | simplifying with (119) gives:
% 103.44/14.56 | (309) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_5, e3, e3, e4,
% 103.44/14.56 | simplifying with (140) gives:
% 103.44/14.56 | (310) all_4_5 = e3 | ~ (op(e4, e3) = e3)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_7, e3, e3, e2,
% 103.44/14.56 | simplifying with (130) gives:
% 103.44/14.56 | (311) all_4_7 = e3 | ~ (op(e2, e3) = e3)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_6_16, e3, e3, e1,
% 103.44/14.56 | simplifying with (151) gives:
% 103.44/14.56 | (312) all_6_16 = e3 | ~ (op(e1, e3) = e3)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_8, e3, e3, e1,
% 103.44/14.56 | simplifying with (125) gives:
% 103.44/14.56 | (313) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_9, e3, e3, e0,
% 103.44/14.56 | simplifying with (120) gives:
% 103.44/14.56 | (314) all_4_9 = e3 | ~ (op(e0, e3) = e3)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_6_5, e4, e4, e3,
% 103.44/14.56 | simplifying with (161) gives:
% 103.44/14.56 | (315) all_6_5 = e4 | ~ (op(e3, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_1, e4, e4, e3,
% 103.44/14.56 | simplifying with (136) gives:
% 103.44/14.56 | (316) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with e2, e4, e4, e3, simplifying
% 103.44/14.56 | with (22) gives:
% 103.44/14.56 | (317) e4 = e2 | ~ (op(e3, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_6_10, e4, e4, e2,
% 103.44/14.56 | simplifying with (156) gives:
% 103.44/14.56 | (318) all_6_10 = e4 | ~ (op(e2, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_2, e4, e4, e2,
% 103.44/14.56 | simplifying with (131) gives:
% 103.44/14.56 | (319) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_6_15, e4, e4, e1,
% 103.44/14.56 | simplifying with (152) gives:
% 103.44/14.56 | (320) all_6_15 = e4 | ~ (op(e1, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with e0, e4, e4, e1, simplifying
% 103.44/14.56 | with (21) gives:
% 103.44/14.56 | (321) e4 = e0 | ~ (op(e1, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_6_20, e4, e4, e0,
% 103.44/14.56 | simplifying with (147) gives:
% 103.44/14.56 | (322) all_6_20 = e4 | ~ (op(e0, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | GROUND_INST: instantiating (function-axioms) with all_4_4, e4, e4, e0,
% 103.44/14.56 | simplifying with (121) gives:
% 103.44/14.56 | (323) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 103.44/14.56 |
% 103.44/14.56 | COMBINE_EQS: (281), (282) imply:
% 103.44/14.56 | (324) all_4_0 = e1
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (324) implies:
% 103.44/14.56 | (325) all_4_0 = e1
% 103.44/14.56 |
% 103.44/14.56 | COMBINE_EQS: (277), (278) imply:
% 103.44/14.56 | (326) all_4_15 = e3
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (326) implies:
% 103.44/14.56 | (327) all_4_15 = e3
% 103.44/14.56 |
% 103.44/14.56 | COMBINE_EQS: (267), (268) imply:
% 103.44/14.56 | (328) all_4_1 = e2
% 103.44/14.56 |
% 103.44/14.56 | COMBINE_EQS: (243), (244) imply:
% 103.44/14.56 | (329) all_4_3 = e0
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (329) implies:
% 103.44/14.56 | (330) all_4_3 = e0
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (116), (325), (328) imply:
% 103.44/14.56 | (331) ~ (e2 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (331) implies:
% 103.44/14.56 | (332) ~ (e2 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (115), (325) imply:
% 103.44/14.56 | (333) ~ (all_4_2 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (333) implies:
% 103.44/14.56 | (334) ~ (all_4_2 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (114), (325), (330) imply:
% 103.44/14.56 | (335) ~ (e1 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (113), (325) imply:
% 103.44/14.56 | (336) ~ (all_4_4 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (336) implies:
% 103.44/14.56 | (337) ~ (all_4_4 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (112), (325) imply:
% 103.44/14.56 | (338) ~ (all_4_5 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (338) implies:
% 103.44/14.56 | (339) ~ (all_4_5 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (111), (325) imply:
% 103.44/14.56 | (340) ~ (all_4_10 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (340) implies:
% 103.44/14.56 | (341) ~ (all_4_10 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (110), (325), (327) imply:
% 103.44/14.56 | (342) ~ (e3 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (342) implies:
% 103.44/14.56 | (343) ~ (e3 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (109), (325) imply:
% 103.44/14.56 | (344) ~ (all_4_20 = e1)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (344) implies:
% 103.44/14.56 | (345) ~ (all_4_20 = e1)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (108), (328) imply:
% 103.44/14.56 | (346) ~ (all_4_2 = e2)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (346) implies:
% 103.44/14.56 | (347) ~ (all_4_2 = e2)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (107), (328), (330) imply:
% 103.44/14.56 | (348) ~ (e2 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (106), (328) imply:
% 103.44/14.56 | (349) ~ (all_4_4 = e2)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (349) implies:
% 103.44/14.56 | (350) ~ (all_4_4 = e2)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (105), (328) imply:
% 103.44/14.56 | (351) ~ (all_4_6 = e2)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (351) implies:
% 103.44/14.56 | (352) ~ (all_4_6 = e2)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (104), (328) imply:
% 103.44/14.56 | (353) ~ (all_4_11 = e2)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (353) implies:
% 103.44/14.56 | (354) ~ (all_4_11 = e2)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (103), (328) imply:
% 103.44/14.56 | (355) ~ (all_4_16 = e2)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (355) implies:
% 103.44/14.56 | (356) ~ (all_4_16 = e2)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (102), (330) imply:
% 103.44/14.56 | (357) ~ (all_4_2 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (96), (330) imply:
% 103.44/14.56 | (358) ~ (all_4_4 = e0)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (358) implies:
% 103.44/14.56 | (359) ~ (all_4_4 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (95), (330) imply:
% 103.44/14.56 | (360) ~ (all_4_8 = e0)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (360) implies:
% 103.44/14.56 | (361) ~ (all_4_8 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (94), (330) imply:
% 103.44/14.56 | (362) ~ (all_4_18 = e0)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (362) implies:
% 103.44/14.56 | (363) ~ (all_4_18 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (93), (330) imply:
% 103.44/14.56 | (364) ~ (all_4_23 = e0)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (364) implies:
% 103.44/14.56 | (365) ~ (all_4_23 = e0)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (62), (327) imply:
% 103.44/14.56 | (366) ~ (all_4_10 = e3)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (49), (327) imply:
% 103.44/14.56 | (367) ~ (all_4_16 = e3)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (367) implies:
% 103.44/14.56 | (368) ~ (all_4_16 = e3)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (48), (327) imply:
% 103.44/14.56 | (369) ~ (all_4_17 = e3)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (369) implies:
% 103.44/14.56 | (370) ~ (all_4_17 = e3)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (47), (327) imply:
% 103.44/14.56 | (371) ~ (all_4_18 = e3)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (371) implies:
% 103.44/14.56 | (372) ~ (all_4_18 = e3)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (46), (327) imply:
% 103.44/14.56 | (373) ~ (all_4_19 = e3)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (373) implies:
% 103.44/14.56 | (374) ~ (all_4_19 = e3)
% 103.44/14.56 |
% 103.44/14.56 | REDUCE: (45), (327) imply:
% 103.44/14.56 | (375) ~ (all_4_20 = e3)
% 103.44/14.56 |
% 103.44/14.56 | SIMP: (375) implies:
% 103.44/14.56 | (376) ~ (all_4_20 = e3)
% 103.44/14.56 |
% 103.44/14.56 | BETA: splitting (218) gives:
% 103.44/14.56 |
% 103.44/14.56 | Case 1:
% 103.44/14.56 | |
% 103.44/14.56 | | (377) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_2 = e0 & op(e3, e4) = e0)
% 103.44/14.56 | |
% 103.44/14.56 | | BETA: splitting (377) gives:
% 103.44/14.56 | |
% 103.44/14.56 | | Case 1:
% 103.44/14.56 | | |
% 103.44/14.56 | | | (378) all_9_0 = e0 & op(e4, e4) = e0
% 103.44/14.56 | | |
% 103.44/14.56 | | | ALPHA: (378) implies:
% 103.44/14.56 | | | (379) op(e4, e4) = e0
% 103.44/14.57 | | |
% 103.44/14.57 | | | REF_CLOSE: (24), (335), (379), (function-axioms) are inconsistent by
% 103.44/14.57 | | | sub-proof #224.
% 103.44/14.57 | | |
% 103.44/14.57 | | Case 2:
% 103.44/14.57 | | |
% 103.44/14.57 | | | (380) all_9_2 = e0 & op(e3, e4) = e0
% 103.44/14.57 | | |
% 103.44/14.57 | | | ALPHA: (380) implies:
% 103.44/14.57 | | | (381) op(e3, e4) = e0
% 103.44/14.57 | | |
% 103.44/14.57 | | | REF_CLOSE: (22), (348), (381), (function-axioms) are inconsistent by
% 103.44/14.57 | | | sub-proof #223.
% 103.44/14.57 | | |
% 103.44/14.57 | | End of split
% 103.44/14.57 | |
% 103.44/14.57 | Case 2:
% 103.44/14.57 | |
% 103.44/14.57 | | (382) (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_12 = e0 & op(e1, e4) =
% 103.44/14.57 | | e0) | (all_9_20 = e0 & op(e0, e4) = e0)
% 103.44/14.57 | |
% 103.44/14.57 | | BETA: splitting (382) gives:
% 103.44/14.57 | |
% 103.44/14.57 | | Case 1:
% 103.44/14.57 | | |
% 103.44/14.57 | | | (383) all_9_6 = e0 & op(e2, e4) = e0
% 103.44/14.57 | | |
% 103.44/14.57 | | | ALPHA: (383) implies:
% 103.44/14.57 | | | (384) all_9_6 = e0
% 103.44/14.57 | | | (385) op(e2, e4) = e0
% 103.44/14.57 | | |
% 103.44/14.57 | | | BETA: splitting (220) gives:
% 103.44/14.57 | | |
% 103.44/14.57 | | | Case 1:
% 103.44/14.57 | | | |
% 103.44/14.57 | | | | (386) (all_9_0 = e1 & op(e4, e4) = e1) | (all_9_2 = e1 & op(e3, e4) =
% 103.44/14.57 | | | | e1)
% 103.44/14.57 | | | |
% 103.44/14.57 | | | | BETA: splitting (386) gives:
% 103.44/14.57 | | | |
% 103.44/14.57 | | | | Case 1:
% 103.44/14.57 | | | | |
% 103.44/14.57 | | | | | (387) all_9_0 = e1 & op(e4, e4) = e1
% 103.44/14.57 | | | | |
% 103.44/14.57 | | | | | ALPHA: (387) implies:
% 103.44/14.57 | | | | | (388) all_9_0 = e1
% 103.44/14.57 | | | | |
% 103.44/14.57 | | | | | BETA: splitting (198) gives:
% 103.44/14.57 | | | | |
% 103.44/14.57 | | | | | Case 1:
% 103.44/14.57 | | | | | |
% 103.44/14.57 | | | | | | (389) (all_9_9 = e3 & op(e4, e1) = e3) | (all_9_10 = e3 & op(e3,
% 103.44/14.57 | | | | | | e1) = e3)
% 103.44/14.57 | | | | | |
% 103.44/14.57 | | | | | | BETA: splitting (389) gives:
% 103.44/14.57 | | | | | |
% 103.44/14.57 | | | | | | Case 1:
% 103.44/14.57 | | | | | | |
% 103.44/14.57 | | | | | | | (390) all_9_9 = e3 & op(e4, e1) = e3
% 103.44/14.57 | | | | | | |
% 103.44/14.57 | | | | | | | ALPHA: (390) implies:
% 103.44/14.57 | | | | | | | (391) all_9_9 = e3
% 103.44/14.57 | | | | | | |
% 103.44/14.57 | | | | | | | BETA: splitting (221) gives:
% 103.44/14.57 | | | | | | |
% 103.44/14.57 | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | |
% 103.44/14.57 | | | | | | | | (392) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 &
% 103.44/14.57 | | | | | | | | op(e3, e4) = e2)
% 103.44/14.57 | | | | | | | |
% 103.44/14.57 | | | | | | | | BETA: splitting (392) gives:
% 103.44/14.57 | | | | | | | |
% 103.44/14.57 | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | (393) all_9_0 = e2 & op(e4, e4) = e2
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | ALPHA: (393) implies:
% 103.44/14.57 | | | | | | | | | (394) op(e4, e4) = e2
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | REF_CLOSE: (24), (332), (394), (function-axioms) are
% 103.44/14.57 | | | | | | | | | inconsistent by sub-proof #222.
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | (395) all_9_2 = e2 & op(e3, e4) = e2
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | ALPHA: (395) implies:
% 103.44/14.57 | | | | | | | | | (396) all_9_2 = e2
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | BETA: splitting (224) gives:
% 103.44/14.57 | | | | | | | | |
% 103.44/14.57 | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | (397) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 &
% 103.44/14.57 | | | | | | | | | | op(e3, e4) = e4)
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | REF_CLOSE: (18), (19), (282), (283), (316), (328), (397) are
% 103.44/14.57 | | | | | | | | | | inconsistent by sub-proof #219.
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | (398) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 &
% 103.44/14.57 | | | | | | | | | | op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 103.44/14.57 | | | | | | | | | | e4)
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | BETA: splitting (398) gives:
% 103.44/14.57 | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | (399) all_9_6 = e4 & op(e2, e4) = e4
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | REF_CLOSE: (17), (384), (399) are inconsistent by sub-proof
% 103.44/14.57 | | | | | | | | | | | #218.
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | (400) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4
% 103.44/14.57 | | | | | | | | | | | & op(e0, e4) = e4)
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | BETA: splitting (400) gives:
% 103.44/14.57 | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | (401) all_9_12 = e4 & op(e1, e4) = e4
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | ALPHA: (401) implies:
% 103.44/14.57 | | | | | | | | | | | | (402) op(e1, e4) = e4
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | REF_CLOSE: (17), (321), (402) are inconsistent by sub-proof
% 103.44/14.57 | | | | | | | | | | | | #217.
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | (403) all_9_20 = e4 & op(e0, e4) = e4
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | ALPHA: (403) implies:
% 103.44/14.57 | | | | | | | | | | | | (404) all_9_20 = e4
% 103.44/14.57 | | | | | | | | | | | | (405) op(e0, e4) = e4
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | BETA: splitting (223) gives:
% 103.44/14.57 | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | (406) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 &
% 103.44/14.57 | | | | | | | | | | | | | op(e3, e4) = e3)
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | REF_CLOSE: (16), (24), (268), (269), (343), (406),
% 103.44/14.57 | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 103.44/14.57 | | | | | | | | | | | | | #214.
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | (407) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3
% 103.44/14.57 | | | | | | | | | | | | | & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4)
% 103.44/14.57 | | | | | | | | | | | | | = e3)
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | BETA: splitting (407) gives:
% 103.44/14.57 | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | (408) all_9_6 = e3 & op(e2, e4) = e3
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | REF_CLOSE: (15), (384), (408) are inconsistent by sub-proof
% 103.44/14.57 | | | | | | | | | | | | | | #213.
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | (409) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3
% 103.44/14.57 | | | | | | | | | | | | | | & op(e0, e4) = e3)
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | BETA: splitting (409) gives:
% 103.44/14.57 | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | (410) all_9_12 = e3 & op(e1, e4) = e3
% 103.44/14.57 | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | ALPHA: (410) implies:
% 103.44/14.57 | | | | | | | | | | | | | | | (411) all_9_12 = e3
% 103.44/14.57 | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 103.44/14.57 | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | (412) ~ (op(e0, e4) = e4)
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | PRED_UNIFY: (405), (412) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | (413) $false
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | CLOSE: (413) is inconsistent.
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | (414) all_4_4 = e4
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | REDUCE: (101), (414) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | (415) ~ (all_4_2 = e4)
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | BETA: splitting (173) gives:
% 103.44/14.57 | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | (416) all_6_10 = e4
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (416) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | (417) all_4_2 = e4
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | SIMP: (417) implies:
% 103.44/14.57 | | | | | | | | | | | | | | | | | (418) all_4_2 = e4
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | REDUCE: (415), (418) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | (419) $false
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | CLOSE: (419) is inconsistent.
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | Case 2:
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | (420) ~ (all_6_10 = e4)
% 103.44/14.57 | | | | | | | | | | | | | | | | | (421) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 103.44/14.57 | | | | | | | | | | | | | | | | | all_6_10 = e0
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | BETA: splitting (421) gives:
% 103.44/14.57 | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | Case 1:
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (422) all_6_10 = e3
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (422) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (423) all_4_2 = e3
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | SIMP: (423) implies:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (424) all_4_2 = e3
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | REDUCE: (415), (424) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (425) ~ (e4 = e3)
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | REDUCE: (131), (424) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (426) op(e2, e4) = e3
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e3, e4,
% 103.44/14.57 | | | | | | | | | | | | | | | | | | e2, simplifying with (385), (426) gives:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (427) e3 = e0
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.57 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (427) imply:
% 103.44/14.57 | | | | | | | | | | | | | | | | | | (428) all_9_12 = e0
% 103.44/14.57 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (11), (12), (15), (17), (18), (20), (21), (22),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (23), (24), (27), (28), (29), (30), (31), (32),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (33), (34), (35), (36), (37), (38), (39), (40),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (41), (42), (43), (44), (50), (51), (52), (53),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (54), (55), (56), (57), (58), (59), (60), (61),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (63), (64), (65), (66), (67), (68), (69), (70),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (71), (72), (73), (74), (75), (76), (77), (78),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (79), (80), (81), (82), (83), (84), (85), (86),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (87), (88), (89), (90), (91), (92), (97), (98),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (99), (100), (101), (118), (119), (120), (123),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (125), (130), (132), (133), (135), (137), (140),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (167), (168), (169), (170), (171), (172), (174),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (175), (176), (177), (178), (179), (180), (182),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (183), (185), (186), (187), (188), (189), (190),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (191), (192), (193), (194), (195), (196), (197),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (251), (252), (253), (254), (255), (256), (257),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (258), (259), (260), (261), (262), (263), (264),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (265), (266), (268), (269), (270), (271), (272),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (273), (274), (275), (276), (279), (280), (282),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (283), (284), (285), (286), (287), (288), (289),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (290), (291), (292), (293), (294), (295), (296),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (297), (298), (299), (300), (301), (302), (303),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (304), (305), (306), (307), (308), (309), (310),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (311), (312), (313), (314), (315), (316), (317),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (318), (319), (320), (321), (322), (323), (327),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (328), (330), (335), (337), (339), (341), (345),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (347), (350), (352), (354), (356), (359), (361),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (363), (365), (366), (372), (376), (388), (391),
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (396), (428), (function-axioms) are inconsistent
% 103.44/14.58 | | | | | | | | | | | | | | | | | | by sub-proof #3.
% 103.44/14.58 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | Case 2:
% 103.44/14.58 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | (429) all_6_10 = e2 | all_6_10 = e1 | all_6_10 = e0
% 103.44/14.58 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | BETA: splitting (429) gives:
% 103.44/14.58 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | Case 1:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | (430) all_6_10 = e1
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (430) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | (431) all_4_2 = e1
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | REDUCE: (334), (431) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | (432) $false
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | CLOSE: (432) is inconsistent.
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | Case 2:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | (433) all_6_10 = e2 | all_6_10 = e0
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | Case 1:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (434) all_6_10 = e2
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (434) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (435) all_4_2 = e2
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (347), (435) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (436) $false
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (436) is inconsistent.
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (437) all_6_10 = e0
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (256), (437) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (438) all_4_2 = e0
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (438) imply:
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | (439) $false
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | | CLOSE: (439) is inconsistent.
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | Case 2:
% 103.44/14.58 | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | (440) all_9_20 = e3 & op(e0, e4) = e3
% 103.44/14.58 | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | ALPHA: (440) implies:
% 103.44/14.58 | | | | | | | | | | | | | | | (441) all_9_20 = e3
% 103.44/14.58 | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | | REF_CLOSE: (20), (404), (441) are inconsistent by sub-proof
% 103.44/14.58 | | | | | | | | | | | | | | | #166.
% 103.44/14.58 | | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | | |
% 103.44/14.58 | | | | | | | | | End of split
% 103.44/14.58 | | | | | | | | |
% 103.44/14.58 | | | | | | | | End of split
% 103.44/14.58 | | | | | | | |
% 103.44/14.58 | | | | | | | Case 2:
% 103.44/14.58 | | | | | | | |
% 103.44/14.58 | | | | | | | | (442) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 &
% 103.44/14.58 | | | | | | | | op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) = e2)
% 103.44/14.58 | | | | | | | |
% 103.44/14.58 | | | | | | | | BETA: splitting (442) gives:
% 103.44/14.58 | | | | | | | |
% 103.44/14.58 | | | | | | | | Case 1:
% 103.44/14.58 | | | | | | | | |
% 103.44/14.58 | | | | | | | | | (443) all_9_6 = e2 & op(e2, e4) = e2
% 103.44/14.58 | | | | | | | | |
% 103.44/14.58 | | | | | | | | | REF_CLOSE: (257), (347), (443) are inconsistent by sub-proof
% 103.44/14.58 | | | | | | | | | #210.
% 103.44/14.58 | | | | | | | | |
% 103.44/14.58 | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | (444) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2 &
% 103.44/14.59 | | | | | | | | | op(e0, e4) = e2)
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | BETA: splitting (444) gives:
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | (445) all_9_12 = e2 & op(e1, e4) = e2
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | ALPHA: (445) implies:
% 103.44/14.59 | | | | | | | | | | (446) all_9_12 = e2
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | BETA: splitting (224) gives:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (447) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 &
% 103.44/14.59 | | | | | | | | | | | op(e3, e4) = e4)
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | REF_CLOSE: (18), (19), (282), (283), (316), (328), (447) are
% 103.44/14.59 | | | | | | | | | | | inconsistent by sub-proof #219.
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (448) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4
% 103.44/14.59 | | | | | | | | | | | & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4)
% 103.44/14.59 | | | | | | | | | | | = e4)
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | BETA: splitting (448) gives:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | (449) all_9_6 = e4 & op(e2, e4) = e4
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | REF_CLOSE: (17), (384), (449) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | | | | | #51.
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | (450) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4
% 103.44/14.59 | | | | | | | | | | | | & op(e0, e4) = e4)
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | BETA: splitting (450) gives:
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | (451) all_9_12 = e4 & op(e1, e4) = e4
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | ALPHA: (451) implies:
% 103.44/14.59 | | | | | | | | | | | | | (452) op(e1, e4) = e4
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | REF_CLOSE: (17), (321), (452) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | | | | | | #217.
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | (453) all_9_20 = e4 & op(e0, e4) = e4
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | ALPHA: (453) implies:
% 103.44/14.59 | | | | | | | | | | | | | (454) all_9_20 = e4
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (24), (223), (268), (269),
% 103.44/14.59 | | | | | | | | | | | | | (343), (384), (446), (454), (function-axioms) are
% 103.44/14.59 | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 103.44/14.59 | | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | (455) all_9_20 = e2 & op(e0, e4) = e2
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | ALPHA: (455) implies:
% 103.44/14.59 | | | | | | | | | | (456) all_9_20 = e2
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | BETA: splitting (224) gives:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (457) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 &
% 103.44/14.59 | | | | | | | | | | | op(e3, e4) = e4)
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | REF_CLOSE: (18), (19), (282), (283), (316), (328), (457) are
% 103.44/14.59 | | | | | | | | | | | inconsistent by sub-proof #219.
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (458) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4
% 103.44/14.59 | | | | | | | | | | | & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4)
% 103.44/14.59 | | | | | | | | | | | = e4)
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | BETA: splitting (458) gives:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | (459) all_9_6 = e4 & op(e2, e4) = e4
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | REF_CLOSE: (17), (384), (459) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | | | | | #51.
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | (460) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4
% 103.44/14.59 | | | | | | | | | | | | & op(e0, e4) = e4)
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | | REF_CLOSE: (17), (19), (321), (456), (460) are inconsistent
% 103.44/14.59 | | | | | | | | | | | | by sub-proof #182.
% 103.44/14.59 | | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | End of split
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | End of split
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | Case 2:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (461) all_9_10 = e3 & op(e3, e1) = e3
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | ALPHA: (461) implies:
% 103.44/14.59 | | | | | | | (462) op(e3, e1) = e3
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | REF_CLOSE: (274), (368), (462) are inconsistent by sub-proof #199.
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | End of split
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | Case 2:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | (463) (all_9_11 = e3 & op(e2, e1) = e3) | (all_9_15 = e3 & op(e1,
% 103.44/14.59 | | | | | | e1) = e3) | (all_9_23 = e3 & op(e0, e1) = e3)
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | REF_CLOSE: (118), (123), (128), (370), (372), (374), (463),
% 103.44/14.59 | | | | | | (function-axioms) are inconsistent by sub-proof #1.
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | End of split
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | Case 2:
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | (464) all_9_2 = e1 & op(e3, e4) = e1
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | ALPHA: (464) implies:
% 103.44/14.59 | | | | | (465) all_9_2 = e1
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | BETA: splitting (224) gives:
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | Case 1:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | (466) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3,
% 103.44/14.59 | | | | | | e4) = e4)
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | REF_CLOSE: (18), (19), (282), (283), (316), (328), (466) are
% 103.44/14.59 | | | | | | inconsistent by sub-proof #219.
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | Case 2:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | (467) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1,
% 103.44/14.59 | | | | | | e4) = e4) | (all_9_20 = e4 & op(e0, e4) = e4)
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | BETA: splitting (467) gives:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | Case 1:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (468) all_9_6 = e4 & op(e2, e4) = e4
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | REF_CLOSE: (17), (384), (468) are inconsistent by sub-proof #218.
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | Case 2:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (469) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 &
% 103.44/14.59 | | | | | | | op(e0, e4) = e4)
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | BETA: splitting (469) gives:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | (470) all_9_12 = e4 & op(e1, e4) = e4
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | ALPHA: (470) implies:
% 103.44/14.59 | | | | | | | | (471) op(e1, e4) = e4
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | REF_CLOSE: (17), (321), (471) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | #217.
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | (472) all_9_20 = e4 & op(e0, e4) = e4
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | ALPHA: (472) implies:
% 103.44/14.59 | | | | | | | | (473) all_9_20 = e4
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | BETA: splitting (221) gives:
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | (474) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 &
% 103.44/14.59 | | | | | | | | | op(e3, e4) = e2)
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | REF_CLOSE: (24), (332), (465), (474), (function-axioms) are
% 103.44/14.59 | | | | | | | | | inconsistent by sub-proof #183.
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | (475) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 &
% 103.44/14.59 | | | | | | | | | op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) =
% 103.44/14.59 | | | | | | | | | e2)
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | BETA: splitting (475) gives:
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | (476) all_9_6 = e2 & op(e2, e4) = e2
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | REF_CLOSE: (257), (347), (476) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | | | #210.
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | (477) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2
% 103.44/14.59 | | | | | | | | | | & op(e0, e4) = e2)
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | BETA: splitting (477) gives:
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 1:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (478) all_9_12 = e2 & op(e1, e4) = e2
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | ALPHA: (478) implies:
% 103.44/14.59 | | | | | | | | | | | (479) all_9_12 = e2
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | REF_CLOSE: (15), (16), (20), (24), (223), (268), (269),
% 103.44/14.59 | | | | | | | | | | | (343), (384), (473), (479), (function-axioms) are
% 103.44/14.59 | | | | | | | | | | | inconsistent by sub-proof #2.
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | Case 2:
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | (480) all_9_20 = e2 & op(e0, e4) = e2
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | | REF_CLOSE: (19), (473), (480) are inconsistent by sub-proof
% 103.44/14.59 | | | | | | | | | | | #186.
% 103.44/14.59 | | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | | |
% 103.44/14.59 | | | | | | | | | End of split
% 103.44/14.59 | | | | | | | | |
% 103.44/14.59 | | | | | | | | End of split
% 103.44/14.59 | | | | | | | |
% 103.44/14.59 | | | | | | | End of split
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | End of split
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | End of split
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | End of split
% 103.44/14.59 | | | |
% 103.44/14.59 | | | Case 2:
% 103.44/14.59 | | | |
% 103.44/14.59 | | | | (481) (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_12 = e1 & op(e1, e4)
% 103.44/14.59 | | | | = e1) | (all_9_20 = e1 & op(e0, e4) = e1)
% 103.44/14.59 | | | |
% 103.44/14.59 | | | | BETA: splitting (481) gives:
% 103.44/14.59 | | | |
% 103.44/14.59 | | | | Case 1:
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | (482) all_9_6 = e1 & op(e2, e4) = e1
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | ALPHA: (482) implies:
% 103.44/14.59 | | | | | (483) all_9_6 = e1
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | COMBINE_EQS: (384), (483) imply:
% 103.44/14.59 | | | | | (484) e1 = e0
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | SIMP: (484) implies:
% 103.44/14.59 | | | | | (485) e1 = e0
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | REDUCE: (335), (485) imply:
% 103.44/14.59 | | | | | (486) $false
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | CLOSE: (486) is inconsistent.
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | Case 2:
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | (487) (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_20 = e1 & op(e0,
% 103.44/14.59 | | | | | e4) = e1)
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | BETA: splitting (487) gives:
% 103.44/14.59 | | | | |
% 103.44/14.59 | | | | | Case 1:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | (488) all_9_12 = e1 & op(e1, e4) = e1
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | ALPHA: (488) implies:
% 103.44/14.59 | | | | | | (489) all_9_12 = e1
% 103.44/14.59 | | | | | | (490) op(e1, e4) = e1
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | BETA: splitting (246) gives:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | Case 1:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (491) ~ (op(e1, e4) = e1)
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | PRED_UNIFY: (490), (491) imply:
% 103.44/14.59 | | | | | | | (492) $false
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | CLOSE: (492) is inconsistent.
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | Case 2:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (493) all_4_3 = e1
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | COMBINE_EQS: (330), (493) imply:
% 103.44/14.59 | | | | | | | (494) e1 = e0
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | SIMP: (494) implies:
% 103.44/14.59 | | | | | | | (495) e1 = e0
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | COMBINE_EQS: (489), (495) imply:
% 103.44/14.59 | | | | | | | (496) all_9_12 = e0
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (24), (223), (224),
% 103.44/14.59 | | | | | | | (268), (269), (282), (283), (316), (321), (328), (343),
% 103.44/14.59 | | | | | | | (384), (496), (function-axioms) are inconsistent by
% 103.44/14.59 | | | | | | | sub-proof #50.
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | End of split
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | Case 2:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | (497) all_9_20 = e1 & op(e0, e4) = e1
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | ALPHA: (497) implies:
% 103.44/14.59 | | | | | | (498) all_9_20 = e1
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | BETA: splitting (224) gives:
% 103.44/14.59 | | | | | |
% 103.44/14.59 | | | | | | Case 1:
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | (499) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3,
% 103.44/14.59 | | | | | | | e4) = e4)
% 103.44/14.59 | | | | | | |
% 103.44/14.59 | | | | | | | REF_CLOSE: (18), (19), (282), (283), (316), (328), (499) are
% 103.44/14.59 | | | | | | | inconsistent by sub-proof #219.
% 103.67/14.59 | | | | | | |
% 103.67/14.59 | | | | | | Case 2:
% 103.67/14.59 | | | | | | |
% 103.67/14.59 | | | | | | | (500) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 &
% 103.67/14.59 | | | | | | | op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) = e4)
% 103.67/14.59 | | | | | | |
% 103.67/14.59 | | | | | | | BETA: splitting (500) gives:
% 103.67/14.59 | | | | | | |
% 103.67/14.59 | | | | | | | Case 1:
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | | (501) all_9_6 = e4 & op(e2, e4) = e4
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | | REF_CLOSE: (17), (384), (501) are inconsistent by sub-proof #51.
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | Case 2:
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | | (502) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 &
% 103.67/14.59 | | | | | | | | op(e0, e4) = e4)
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | | REF_CLOSE: (17), (18), (321), (498), (502) are inconsistent by
% 103.67/14.59 | | | | | | | | sub-proof #189.
% 103.67/14.59 | | | | | | | |
% 103.67/14.59 | | | | | | | End of split
% 103.67/14.59 | | | | | | |
% 103.67/14.59 | | | | | | End of split
% 103.67/14.59 | | | | | |
% 103.67/14.59 | | | | | End of split
% 103.67/14.59 | | | | |
% 103.67/14.59 | | | | End of split
% 103.67/14.59 | | | |
% 103.67/14.59 | | | End of split
% 103.67/14.59 | | |
% 103.67/14.59 | | Case 2:
% 103.67/14.59 | | |
% 103.67/14.59 | | | (503) (all_9_12 = e0 & op(e1, e4) = e0) | (all_9_20 = e0 & op(e0, e4) =
% 103.67/14.59 | | | e0)
% 103.67/14.59 | | |
% 103.67/14.59 | | | BETA: splitting (503) gives:
% 103.67/14.59 | | |
% 103.67/14.59 | | | Case 1:
% 103.67/14.59 | | | |
% 103.67/14.59 | | | | (504) all_9_12 = e0 & op(e1, e4) = e0
% 103.67/14.59 | | | |
% 103.67/14.59 | | | | ALPHA: (504) implies:
% 103.67/14.59 | | | | (505) all_9_12 = e0
% 103.67/14.59 | | | |
% 103.67/14.59 | | | | BETA: splitting (198) gives:
% 103.67/14.59 | | | |
% 103.67/14.59 | | | | Case 1:
% 103.67/14.59 | | | | |
% 103.67/14.60 | | | | | (506) (all_9_9 = e3 & op(e4, e1) = e3) | (all_9_10 = e3 & op(e3,
% 103.67/14.60 | | | | | e1) = e3)
% 103.67/14.60 | | | | |
% 103.67/14.60 | | | | | BETA: splitting (506) gives:
% 103.67/14.60 | | | | |
% 103.67/14.60 | | | | | Case 1:
% 103.67/14.60 | | | | | |
% 103.67/14.60 | | | | | | (507) all_9_9 = e3 & op(e4, e1) = e3
% 103.67/14.60 | | | | | |
% 103.67/14.60 | | | | | | ALPHA: (507) implies:
% 103.67/14.60 | | | | | | (508) all_9_9 = e3
% 103.67/14.60 | | | | | |
% 103.67/14.60 | | | | | | BETA: splitting (221) gives:
% 103.67/14.60 | | | | | |
% 103.67/14.60 | | | | | | Case 1:
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | (509) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3,
% 103.67/14.60 | | | | | | | e4) = e2)
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | BETA: splitting (509) gives:
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | (510) all_9_0 = e2 & op(e4, e4) = e2
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | ALPHA: (510) implies:
% 103.67/14.60 | | | | | | | | (511) op(e4, e4) = e2
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | REF_CLOSE: (24), (332), (511), (function-axioms) are
% 103.67/14.60 | | | | | | | | inconsistent by sub-proof #222.
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | (512) all_9_2 = e2 & op(e3, e4) = e2
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | ALPHA: (512) implies:
% 103.67/14.60 | | | | | | | | (513) all_9_2 = e2
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | BETA: splitting (220) gives:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | (514) (all_9_0 = e1 & op(e4, e4) = e1) | (all_9_2 = e1 &
% 103.67/14.60 | | | | | | | | | op(e3, e4) = e1)
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | BETA: splitting (514) gives:
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | (515) all_9_0 = e1 & op(e4, e4) = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | ALPHA: (515) implies:
% 103.67/14.60 | | | | | | | | | | (516) all_9_0 = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10),
% 103.67/14.60 | | | | | | | | | | (11), (12), (15), (17), (18), (20), (21), (22),
% 103.67/14.60 | | | | | | | | | | (23), (24), (27), (28), (29), (30), (31), (32),
% 103.67/14.60 | | | | | | | | | | (33), (34), (35), (36), (37), (38), (39), (40),
% 103.67/14.60 | | | | | | | | | | (41), (42), (43), (44), (50), (51), (52), (53),
% 103.67/14.60 | | | | | | | | | | (54), (55), (56), (57), (58), (59), (60), (61),
% 103.67/14.60 | | | | | | | | | | (63), (64), (65), (66), (67), (68), (69), (70),
% 103.67/14.60 | | | | | | | | | | (71), (72), (73), (74), (75), (76), (77), (78),
% 103.67/14.60 | | | | | | | | | | (79), (80), (81), (82), (83), (84), (85), (86),
% 103.67/14.60 | | | | | | | | | | (87), (88), (89), (90), (91), (92), (97), (98),
% 103.67/14.60 | | | | | | | | | | (99), (100), (101), (118), (119), (120), (123),
% 103.67/14.60 | | | | | | | | | | (125), (130), (132), (133), (135), (137), (140),
% 103.67/14.60 | | | | | | | | | | (167), (168), (169), (170), (171), (172), (174),
% 103.67/14.60 | | | | | | | | | | (175), (176), (177), (178), (179), (180), (182),
% 103.67/14.60 | | | | | | | | | | (183), (185), (186), (187), (188), (189), (190),
% 103.67/14.60 | | | | | | | | | | (191), (192), (193), (194), (195), (196), (197),
% 103.67/14.60 | | | | | | | | | | (199), (200), (201), (202), (203), (204), (205),
% 103.67/14.60 | | | | | | | | | | (206), (207), (208), (209), (210), (211), (212),
% 103.67/14.60 | | | | | | | | | | (213), (214), (215), (216), (217), (219), (221),
% 103.67/14.60 | | | | | | | | | | (222), (223), (224), (225), (226), (227), (228),
% 103.67/14.60 | | | | | | | | | | (229), (230), (231), (232), (233), (234), (235),
% 103.67/14.60 | | | | | | | | | | (236), (237), (238), (239), (240), (241), (242),
% 103.67/14.60 | | | | | | | | | | (244), (245), (246), (247), (248), (249), (250),
% 103.67/14.60 | | | | | | | | | | (251), (252), (253), (254), (255), (256), (257),
% 103.67/14.60 | | | | | | | | | | (258), (259), (260), (261), (262), (263), (264),
% 103.67/14.60 | | | | | | | | | | (265), (266), (268), (269), (270), (271), (272),
% 103.67/14.60 | | | | | | | | | | (273), (274), (275), (276), (279), (280), (282),
% 103.67/14.60 | | | | | | | | | | (283), (284), (285), (286), (287), (288), (289),
% 103.67/14.60 | | | | | | | | | | (290), (291), (292), (293), (294), (295), (296),
% 103.67/14.60 | | | | | | | | | | (297), (298), (299), (300), (301), (302), (303),
% 103.67/14.60 | | | | | | | | | | (304), (305), (306), (307), (308), (309), (310),
% 103.67/14.60 | | | | | | | | | | (311), (312), (313), (314), (315), (316), (317),
% 103.67/14.60 | | | | | | | | | | (318), (319), (320), (321), (322), (323), (327),
% 103.67/14.60 | | | | | | | | | | (328), (330), (335), (337), (339), (341), (345),
% 103.67/14.60 | | | | | | | | | | (347), (350), (352), (354), (356), (359), (361),
% 103.67/14.60 | | | | | | | | | | (363), (365), (366), (372), (376), (505), (508),
% 103.67/14.60 | | | | | | | | | | (513), (516), (function-axioms) are inconsistent
% 103.67/14.60 | | | | | | | | | | by sub-proof #3.
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | (517) all_9_2 = e1 & op(e3, e4) = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | ALPHA: (517) implies:
% 103.67/14.60 | | | | | | | | | | (518) all_9_2 = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (24), (221),
% 103.67/14.60 | | | | | | | | | | (223), (224), (257), (282), (283), (316), (321),
% 103.67/14.60 | | | | | | | | | | (328), (332), (343), (347), (348), (505), (518),
% 103.67/14.60 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 103.67/14.60 | | | | | | | | | | #181.
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | End of split
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | (519) (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_12 = e1 &
% 103.67/14.60 | | | | | | | | | op(e1, e4) = e1) | (all_9_20 = e1 & op(e0, e4) =
% 103.67/14.60 | | | | | | | | | e1)
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | BETA: splitting (519) gives:
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | (520) all_9_6 = e1 & op(e2, e4) = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | ALPHA: (520) implies:
% 103.67/14.60 | | | | | | | | | | (521) all_9_6 = e1
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (24), (221),
% 103.67/14.60 | | | | | | | | | | (223), (224), (257), (282), (283), (316), (321),
% 103.67/14.60 | | | | | | | | | | (328), (332), (343), (347), (348), (505), (521),
% 103.67/14.60 | | | | | | | | | | (function-axioms) are inconsistent by sub-proof
% 103.67/14.60 | | | | | | | | | | #80.
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | (522) (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_20 = e1
% 103.67/14.60 | | | | | | | | | | & op(e0, e4) = e1)
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | BETA: splitting (522) gives:
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | (523) all_9_12 = e1 & op(e1, e4) = e1
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | ALPHA: (523) implies:
% 103.67/14.60 | | | | | | | | | | | (524) all_9_12 = e1
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | COMBINE_EQS: (505), (524) imply:
% 103.67/14.60 | | | | | | | | | | | (525) e1 = e0
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | REDUCE: (335), (525) imply:
% 103.67/14.60 | | | | | | | | | | | (526) $false
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | CLOSE: (526) is inconsistent.
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | (527) all_9_20 = e1 & op(e0, e4) = e1
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | ALPHA: (527) implies:
% 103.67/14.60 | | | | | | | | | | | (528) all_9_20 = e1
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (24), (221),
% 103.67/14.60 | | | | | | | | | | | (223), (224), (257), (270), (282), (283), (316),
% 103.67/14.60 | | | | | | | | | | | (321), (328), (332), (343), (347), (348), (505),
% 103.67/14.60 | | | | | | | | | | | (528), (function-axioms) are inconsistent by
% 103.67/14.60 | | | | | | | | | | | sub-proof #188.
% 103.67/14.60 | | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | | End of split
% 103.67/14.60 | | | | | | | | | |
% 103.67/14.60 | | | | | | | | | End of split
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | End of split
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | End of split
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | Case 2:
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | (529) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 &
% 103.67/14.60 | | | | | | | op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) = e2)
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | BETA: splitting (529) gives:
% 103.67/14.60 | | | | | | |
% 103.67/14.60 | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | (530) all_9_6 = e2 & op(e2, e4) = e2
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | REF_CLOSE: (257), (347), (530) are inconsistent by sub-proof
% 103.67/14.60 | | | | | | | | #210.
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | Case 2:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | (531) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2 &
% 103.67/14.60 | | | | | | | | op(e0, e4) = e2)
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | BETA: splitting (531) gives:
% 103.67/14.60 | | | | | | | |
% 103.67/14.60 | | | | | | | | Case 1:
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | (532) all_9_12 = e2 & op(e1, e4) = e2
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | | REF_CLOSE: (348), (505), (532) are inconsistent by sub-proof
% 103.67/14.60 | | | | | | | | | #54.
% 103.67/14.60 | | | | | | | | |
% 103.67/14.60 | | | | | | | | Case 2:
% 103.67/14.61 | | | | | | | | |
% 103.67/14.61 | | | | | | | | | (533) all_9_20 = e2 & op(e0, e4) = e2
% 103.67/14.61 | | | | | | | | |
% 103.67/14.61 | | | | | | | | | ALPHA: (533) implies:
% 103.67/14.61 | | | | | | | | | (534) all_9_20 = e2
% 103.67/14.61 | | | | | | | | |
% 103.67/14.61 | | | | | | | | | REF_CLOSE: (15), (16), (17), (18), (19), (20), (24), (223),
% 103.67/14.61 | | | | | | | | | (224), (268), (269), (282), (283), (316), (321),
% 103.67/14.61 | | | | | | | | | (328), (343), (505), (534), (function-axioms) are
% 103.67/14.61 | | | | | | | | | inconsistent by sub-proof #156.
% 103.67/14.61 | | | | | | | | |
% 103.67/14.61 | | | | | | | | End of split
% 103.67/14.61 | | | | | | | |
% 103.67/14.61 | | | | | | | End of split
% 103.67/14.61 | | | | | | |
% 103.67/14.61 | | | | | | End of split
% 103.67/14.61 | | | | | |
% 103.67/14.61 | | | | | Case 2:
% 103.67/14.61 | | | | | |
% 103.67/14.61 | | | | | | (535) all_9_10 = e3 & op(e3, e1) = e3
% 103.67/14.61 | | | | | |
% 103.67/14.61 | | | | | | ALPHA: (535) implies:
% 103.67/14.61 | | | | | | (536) op(e3, e1) = e3
% 103.67/14.61 | | | | | |
% 103.67/14.61 | | | | | | REF_CLOSE: (274), (368), (536) are inconsistent by sub-proof #199.
% 103.67/14.61 | | | | | |
% 103.67/14.61 | | | | | End of split
% 103.67/14.61 | | | | |
% 103.67/14.61 | | | | Case 2:
% 103.67/14.61 | | | | |
% 103.67/14.61 | | | | | (537) (all_9_11 = e3 & op(e2, e1) = e3) | (all_9_15 = e3 & op(e1,
% 103.67/14.61 | | | | | e1) = e3) | (all_9_23 = e3 & op(e0, e1) = e3)
% 103.67/14.61 | | | | |
% 103.67/14.61 | | | | | REF_CLOSE: (118), (123), (128), (370), (372), (374), (537),
% 103.67/14.61 | | | | | (function-axioms) are inconsistent by sub-proof #1.
% 103.67/14.61 | | | | |
% 103.67/14.61 | | | | End of split
% 103.67/14.61 | | | |
% 103.67/14.61 | | | Case 2:
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | (538) all_9_20 = e0 & op(e0, e4) = e0
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | ALPHA: (538) implies:
% 103.67/14.61 | | | | (539) op(e0, e4) = e0
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | REF_CLOSE: (232), (359), (539) are inconsistent by sub-proof #93.
% 103.67/14.61 | | | |
% 103.67/14.61 | | | End of split
% 103.67/14.61 | | |
% 103.67/14.61 | | End of split
% 103.67/14.61 | |
% 103.67/14.61 | End of split
% 103.67/14.61 |
% 103.67/14.61 End of proof
% 103.67/14.61
% 103.67/14.61 Sub-proof #1 shows that the following formulas are inconsistent:
% 103.67/14.61 ----------------------------------------------------------------
% 103.67/14.61 (1) ~ (all_4_17 = e3)
% 103.67/14.61 (2) ~ (all_4_18 = e3)
% 103.67/14.61 (3) op(e0, e1) = all_4_19
% 103.67/14.61 (4) (all_9_11 = e3 & op(e2, e1) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 103.67/14.61 (all_9_23 = e3 & op(e0, e1) = e3)
% 103.67/14.61 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 103.67/14.61 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 103.67/14.61 (6) ~ (all_4_19 = e3)
% 103.67/14.61 (7) op(e2, e1) = all_4_17
% 103.67/14.61 (8) op(e1, e1) = all_4_18
% 103.67/14.61
% 103.67/14.61 Begin of proof
% 103.67/14.61 |
% 103.67/14.61 | BETA: splitting (4) gives:
% 103.67/14.61 |
% 103.67/14.61 | Case 1:
% 103.67/14.61 | |
% 103.67/14.61 | | (9) all_9_11 = e3 & op(e2, e1) = e3
% 103.67/14.61 | |
% 103.67/14.61 | | ALPHA: (9) implies:
% 103.67/14.61 | | (10) op(e2, e1) = e3
% 103.67/14.61 | |
% 103.67/14.61 | | GROUND_INST: instantiating (5) with all_4_17, e3, e1, e2, simplifying with
% 103.67/14.61 | | (7), (10) gives:
% 103.67/14.61 | | (11) all_4_17 = e3
% 103.67/14.61 | |
% 103.67/14.61 | | REDUCE: (1), (11) imply:
% 103.67/14.61 | | (12) $false
% 103.67/14.61 | |
% 103.67/14.61 | | CLOSE: (12) is inconsistent.
% 103.67/14.61 | |
% 103.67/14.61 | Case 2:
% 103.67/14.61 | |
% 103.67/14.61 | | (13) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_23 = e3 & op(e0, e1) =
% 103.67/14.61 | | e3)
% 103.67/14.61 | |
% 103.67/14.61 | | BETA: splitting (13) gives:
% 103.67/14.61 | |
% 103.67/14.61 | | Case 1:
% 103.67/14.61 | | |
% 103.67/14.61 | | | (14) all_9_15 = e3 & op(e1, e1) = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | ALPHA: (14) implies:
% 103.67/14.61 | | | (15) op(e1, e1) = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | REF_CLOSE: (2), (5), (8), (15) are inconsistent by sub-proof #126.
% 103.67/14.61 | | |
% 103.67/14.61 | | Case 2:
% 103.67/14.61 | | |
% 103.67/14.61 | | | (16) all_9_23 = e3 & op(e0, e1) = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | ALPHA: (16) implies:
% 103.67/14.61 | | | (17) op(e0, e1) = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | GROUND_INST: instantiating (5) with all_4_19, e3, e1, e0, simplifying with
% 103.67/14.61 | | | (3), (17) gives:
% 103.67/14.61 | | | (18) all_4_19 = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | REDUCE: (6), (18) imply:
% 103.67/14.61 | | | (19) $false
% 103.67/14.61 | | |
% 103.67/14.61 | | | CLOSE: (19) is inconsistent.
% 103.67/14.61 | | |
% 103.67/14.61 | | End of split
% 103.67/14.61 | |
% 103.67/14.61 | End of split
% 103.67/14.61 |
% 103.67/14.61 End of proof
% 103.67/14.61
% 103.67/14.61 Sub-proof #2 shows that the following formulas are inconsistent:
% 103.67/14.61 ----------------------------------------------------------------
% 103.67/14.61 (1) op(e4, e4) = e1
% 103.67/14.61 (2) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 103.67/14.61 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 103.67/14.61 (all_9_20 = e3 & op(e0, e4) = e3)
% 103.67/14.61 (3) ~ (e4 = e3)
% 103.67/14.61 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 103.67/14.61 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 103.67/14.61 (5) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 103.67/14.61 (6) ~ (e3 = e1)
% 103.67/14.61 (7) ~ (e3 = e2)
% 103.67/14.61 (8) all_6_5 = e2
% 103.67/14.61 (9) all_9_12 = e2
% 103.67/14.61 (10) all_9_20 = e4
% 103.67/14.61 (11) all_9_6 = e0
% 103.67/14.61 (12) ~ (e3 = e0)
% 103.67/14.61
% 103.67/14.61 Begin of proof
% 103.67/14.61 |
% 103.67/14.61 | BETA: splitting (2) gives:
% 103.67/14.61 |
% 103.67/14.61 | Case 1:
% 103.67/14.61 | |
% 103.67/14.61 | | (13) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3)
% 103.67/14.61 | |
% 103.67/14.61 | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (13) are inconsistent by sub-proof
% 103.67/14.61 | | #214.
% 103.67/14.61 | |
% 103.67/14.61 | Case 2:
% 103.67/14.61 | |
% 103.67/14.61 | | (14) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3)
% 103.67/14.61 | | | (all_9_20 = e3 & op(e0, e4) = e3)
% 103.67/14.61 | |
% 103.67/14.61 | | BETA: splitting (14) gives:
% 103.67/14.61 | |
% 103.67/14.61 | | Case 1:
% 103.67/14.61 | | |
% 103.67/14.61 | | | (15) all_9_6 = e3 & op(e2, e4) = e3
% 103.67/14.61 | | |
% 103.67/14.61 | | | REF_CLOSE: (11), (12), (15) are inconsistent by sub-proof #213.
% 103.67/14.61 | | |
% 103.67/14.61 | | Case 2:
% 103.67/14.61 | | |
% 103.67/14.61 | | | (16) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) =
% 103.67/14.61 | | | e3)
% 103.67/14.61 | | |
% 103.67/14.61 | | | BETA: splitting (16) gives:
% 103.67/14.61 | | |
% 103.67/14.61 | | | Case 1:
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | (17) all_9_12 = e3 & op(e1, e4) = e3
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | ALPHA: (17) implies:
% 103.67/14.61 | | | | (18) all_9_12 = e3
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | COMBINE_EQS: (9), (18) imply:
% 103.67/14.61 | | | | (19) e3 = e2
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | REDUCE: (7), (19) imply:
% 103.67/14.61 | | | | (20) $false
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | CLOSE: (20) is inconsistent.
% 103.67/14.61 | | | |
% 103.67/14.61 | | | Case 2:
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | (21) all_9_20 = e3 & op(e0, e4) = e3
% 103.67/14.61 | | | |
% 103.67/14.61 | | | | REF_CLOSE: (3), (10), (21) are inconsistent by sub-proof #187.
% 103.67/14.61 | | | |
% 103.67/14.61 | | | End of split
% 103.67/14.61 | | |
% 103.67/14.61 | | End of split
% 103.67/14.61 | |
% 103.67/14.61 | End of split
% 103.67/14.61 |
% 103.67/14.61 End of proof
% 103.67/14.61
% 103.67/14.61 Sub-proof #3 shows that the following formulas are inconsistent:
% 103.67/14.61 ----------------------------------------------------------------
% 103.67/14.61 (1) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 103.67/14.61 (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1) |
% 103.67/14.61 (all_9_17 = e1 & op(e3, e0) = e1)
% 103.67/14.61 (2) ~ (all_4_5 = all_4_8)
% 103.67/14.61 (3) (all_9_9 = e1 & op(e4, e1) = e1) | (all_9_10 = e1 & op(e3, e1) = e1) |
% 103.67/14.61 (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_15 = e1 & op(e1, e1) = e1) |
% 103.67/14.61 (all_9_23 = e1 & op(e0, e1) = e1)
% 103.67/14.61 (4) ~ (all_4_17 = all_4_19)
% 103.67/14.61 (5) ~ (all_4_6 = all_4_7)
% 103.67/14.61 (6) ~ (all_4_11 = all_4_16)
% 103.67/14.61 (7) all_6_10 = e4 | ~ (op(e2, e4) = e4)
% 103.67/14.61 (8) ~ (all_4_4 = e2)
% 103.67/14.61 (9) all_6_8 = all_4_16
% 103.67/14.61 (10) ~ (all_4_4 = all_4_14)
% 103.67/14.61 (11) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | all_6_23
% 103.67/14.61 = e0
% 103.67/14.61 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 103.67/14.61 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 103.67/14.61 (all_9_16 = e2 & op(e4, e0) = e2)
% 103.67/14.61 (13) all_6_0 = e1
% 103.67/14.61 (14) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 103.67/14.61 (15) all_9_12 = e0
% 103.67/14.61 (16) ~ (e1 = e0)
% 103.67/14.61 (17) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 103.67/14.61 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 103.67/14.61 (all_9_18 = e2 & op(e2, e0) = e2)
% 103.67/14.61 (18) (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 103.67/14.61 (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_15 = e1 & op(e1, e1) = e1) |
% 103.67/14.61 (all_9_19 = e1 & op(e1, e0) = e1)
% 103.67/14.61 (19) op(unit, e1) = e1
% 103.67/14.61 (20) all_6_24 = all_4_24
% 103.67/14.61 (21) ~ (all_4_20 = e3)
% 103.67/14.61 (22) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 & op(e4, e3) = e4) |
% 103.67/14.61 (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 & op(e4, e1) = e4) |
% 103.67/14.61 (all_9_16 = e4 & op(e4, e0) = e4)
% 103.67/14.61 (23) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 103.67/14.61 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 103.67/14.61 (all_9_24 = e4 & op(e0, e0) = e4)
% 103.67/14.61 (24) all_6_4 = e0 | ~ (op(e4, e0) = e0)
% 103.67/14.61 (25) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18
% 103.67/14.61 = e0
% 103.67/14.61 (26) ~ (all_4_7 = all_4_17)
% 103.67/14.61 (27) all_6_17 = all_4_13
% 103.67/14.61 (28) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.67/14.61 (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 103.67/14.61 (all_9_21 = e4 & op(e0, e3) = e4)
% 103.67/14.61 (29) ~ (all_4_18 = e3)
% 103.67/14.61 (30) ~ (all_4_6 = all_4_8)
% 103.67/14.61 (31) ~ (all_4_11 = e2)
% 103.67/14.61 (32) (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_7 = e0 & op(e2, e3) = e0) |
% 103.67/14.61 (all_9_8 = e0 & op(e2, e2) = e0) | (all_9_11 = e0 & op(e2, e1) = e0) |
% 103.67/14.61 (all_9_18 = e0 & op(e2, e0) = e0)
% 103.67/14.61 (33) (all_9_4 = e3 & op(e4, e2) = e3) | (all_9_5 = e3 & op(e3, e2) = e3) |
% 103.67/14.61 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_14 = e3 & op(e1, e2) = e3) |
% 103.67/14.61 (all_9_22 = e3 & op(e0, e2) = e3)
% 103.67/14.61 (34) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 103.67/14.61 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 103.67/14.61 (all_9_24 = e1 & op(e0, e0) = e1)
% 103.67/14.61 (35) ~ (all_4_18 = e0)
% 103.67/14.61 (36) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 103.67/14.61 (37) op(e0, unit) = e0
% 103.67/14.61 (38) all_6_15 = e0
% 103.67/14.61 (39) op(e1, unit) = e1
% 103.67/14.61 (40) all_6_1 = all_4_5
% 103.67/14.61 (41) ~ (all_4_11 = all_4_21)
% 103.67/14.61 (42) e4 = e3 | ~ (op(e4, e1) = e4)
% 103.67/14.61 (43) op(e4, e4) = e1
% 103.67/14.61 (44) op(e1, e3) = all_4_8
% 103.67/14.61 (45) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 103.67/14.61 (46) op(e0, e1) = all_4_19
% 103.67/14.61 (47) e4 = e2 | ~ (op(e3, e4) = e4)
% 103.67/14.61 (48) ~ (all_4_8 = e0)
% 103.67/14.61 (49) ~ (all_4_21 = all_4_23)
% 103.67/14.61 (50) ~ (all_4_9 = all_4_19)
% 103.67/14.61 (51) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 103.67/14.61 (52) op(unit, e3) = e3
% 103.67/14.61 (53) ~ (all_4_22 = all_4_24)
% 103.67/14.61 (54) all_6_22 = all_4_14
% 103.67/14.61 (55) all_6_23 = all_4_19
% 103.67/14.61 (56) all_6_16 = all_4_8
% 103.67/14.61 (57) op(e2, e3) = all_4_7
% 103.67/14.61 (58) op(e4, unit) = e4
% 103.67/14.61 (59) ~ (all_4_10 = all_4_20)
% 103.67/14.61 (60) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 103.67/14.61 (61) ~ (e4 = e1)
% 103.67/14.61 (62) all_6_10 = all_4_2
% 103.67/14.61 (63) ~ (all_4_17 = all_4_18)
% 103.67/14.61 (64) ~ (all_4_2 = all_4_22)
% 103.67/14.61 (65) ~ (all_4_16 = all_4_17)
% 103.67/14.61 (66) ~ (all_4_4 = all_4_19)
% 103.67/14.61 (67) all_6_24 = e0 | ~ (op(e0, e0) = e0)
% 103.67/14.61 (68) all_4_21 = e0 | ~ (op(e3, e0) = e0)
% 103.67/14.61 (69) ~ (all_4_18 = all_4_19)
% 103.67/14.61 (70) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 103.67/14.61 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 103.67/14.61 (all_9_20 = e3 & op(e0, e4) = e3)
% 103.67/14.61 (71) all_6_18 = all_4_18
% 103.67/14.61 (72) op(e3, unit) = e3
% 103.67/14.61 (73) op(e3, e0) = all_4_21
% 103.67/14.62 (74) ~ (all_4_21 = all_4_22)
% 103.67/14.62 (75) ~ (all_4_7 = all_4_9)
% 103.67/14.62 (76) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0
% 103.67/14.62 (77) all_6_14 = e0 | ~ (op(e2, e0) = e0)
% 103.67/14.62 (78) op(unit, e0) = e0
% 103.67/14.62 (79) op(e3, e3) = all_4_6
% 103.67/14.62 (80) all_9_9 = e3
% 103.67/14.62 (81) all_6_15 = e4 | ~ (op(e1, e4) = e4)
% 103.67/14.62 (82) op(e4, e1) = e3
% 103.67/14.62 (83) op(e4, e3) = all_4_5
% 103.67/14.62 (84) op(e3, e4) = e2
% 103.67/14.62 (85) ~ (all_4_13 = all_4_14)
% 103.67/14.62 (86) (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_7 = e1 & op(e2, e3) = e1) |
% 103.67/14.62 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_11 = e1 & op(e2, e1) = e1) |
% 103.67/14.62 (all_9_18 = e1 & op(e2, e0) = e1)
% 103.67/14.62 (87) all_4_12 = e2 | ~ (op(e2, e2) = e2)
% 103.67/14.62 (88) all_6_17 = e1 | ~ (op(e1, e2) = e1)
% 103.67/14.62 (89) all_4_9 = e3 | ~ (op(e0, e3) = e3)
% 103.67/14.62 (90) all_6_3 = e1 | ~ (op(e4, e1) = e1)
% 103.67/14.62 (91) ~ (all_4_5 = all_4_20)
% 103.67/14.62 (92) all_4_10 = e4 | ~ (op(e4, e2) = e4)
% 103.67/14.62 (93) ~ (e4 = e3)
% 103.67/14.62 (94) all_4_15 = e1 | ~ (op(e4, e1) = e1)
% 103.67/14.62 (95) ~ (all_4_10 = all_4_14)
% 103.67/14.62 (96) op(unit, e4) = e4
% 103.67/14.62 (97) op(e1, e4) = e0
% 103.67/14.62 (98) ~ (all_4_20 = all_4_21)
% 103.67/14.62 (99) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 103.67/14.62 (100) e3 = e1 | ~ (op(e4, e1) = e1)
% 103.67/14.62 (101) ~ (e4 = e0)
% 103.67/14.62 (102) op(e2, unit) = e2
% 103.67/14.62 (103) (all_9_1 = e2 & op(e4, e3) = e2) | (all_9_3 = e2 & op(e3, e3) = e2) |
% 103.67/14.62 (all_9_7 = e2 & op(e2, e3) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 103.67/14.62 (all_9_21 = e2 & op(e0, e3) = e2)
% 103.67/14.62 (104) ~ (all_4_6 = e2)
% 103.67/14.62 (105) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 103.67/14.62 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 103.67/14.62 (106) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 103.67/14.62 (107) ~ (all_4_14 = all_4_19)
% 103.67/14.62 (108) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 103.67/14.62 all_6_11 = e0
% 103.67/14.62 (109) ~ (all_4_9 = all_4_14)
% 103.67/14.62 (110) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 103.67/14.62 e0
% 103.67/14.62 (111) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 103.67/14.62 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 103.67/14.62 (all_9_18 = e3 & op(e2, e0) = e3)
% 103.67/14.62 (112) ~ (all_4_5 = all_4_6)
% 103.67/14.62 (113) op(e4, e0) = all_4_20
% 103.67/14.62 (114) ~ (all_4_2 = all_4_17)
% 103.67/14.62 (115) all_4_19 = e1 | ~ (op(e0, e1) = e1)
% 103.67/14.62 (116) all_6_9 = e0 | ~ (op(e3, e0) = e0)
% 103.67/14.62 (117) all_9_0 = e1
% 103.67/14.62 (118) all_4_3 = e1 | ~ (op(e1, e4) = e1)
% 103.67/14.62 (119) ~ (all_4_8 = all_4_23)
% 103.67/14.62 (120) ~ (all_4_6 = all_4_16)
% 103.67/14.62 (121) ~ (all_4_5 = all_4_9)
% 103.67/14.62 (122) all_6_2 = all_4_10
% 103.67/14.62 (123) all_4_16 = e1 | ~ (op(e3, e1) = e1)
% 103.67/14.62 (124) e4 = e0 | ~ (op(e1, e4) = e4)
% 103.67/14.62 (125) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 103.67/14.62 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 103.67/14.62 (all_9_24 = e3 & op(e0, e0) = e3)
% 103.67/14.62 (126) all_4_0 = e4 | ~ (op(e4, e4) = e4)
% 103.67/14.62 (127) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 103.67/14.62 (128) all_6_5 = e2
% 103.67/14.62 (129) op(unit, e2) = e2
% 103.67/14.62 (130) ~ (all_4_5 = all_4_7)
% 103.67/14.62 (131) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 103.67/14.62 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 103.67/14.62 (all_9_19 = e4 & op(e1, e0) = e4)
% 103.67/14.62 (132) all_6_20 = all_4_4
% 103.67/14.62 (133) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 103.67/14.62 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 103.67/14.62 (all_9_23 = e2 & op(e0, e1) = e2)
% 103.67/14.62 (134) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 =
% 103.67/14.62 e0
% 103.67/14.62 (135) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 103.67/14.62 (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 103.67/14.62 (all_9_21 = e1 & op(e0, e3) = e1)
% 103.67/14.62 (136) all_6_22 = e0 | ~ (op(e0, e2) = e0)
% 103.67/14.62 (137) ~ (all_4_12 = all_4_13)
% 103.67/14.62 (138) all_6_20 = e0 | ~ (op(e0, e4) = e0)
% 103.67/14.62 (139) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 103.67/14.62 (140) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 103.67/14.62 (141) ~ (all_4_7 = all_4_22)
% 103.67/14.62 (142) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 103.67/14.62 (143) ~ (all_4_2 = all_4_7)
% 103.67/14.62 (144) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 103.67/14.62 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 103.67/14.62 (all_9_19 = e2 & op(e1, e0) = e2)
% 103.67/14.62 (145) ~ (all_4_8 = all_4_9)
% 103.67/14.62 (146) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 103.67/14.62 (147) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 & op(e4, e3) = e0) |
% 103.67/14.62 (all_9_4 = e0 & op(e4, e2) = e0) | (all_9_9 = e0 & op(e4, e1) = e0) |
% 103.67/14.62 (all_9_16 = e0 & op(e4, e0) = e0)
% 103.67/14.62 (148) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_5 = e4 & op(e3, e2) = e4) |
% 103.67/14.62 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_14 = e4 & op(e1, e2) = e4) |
% 103.67/14.62 (all_9_22 = e4 & op(e0, e2) = e4)
% 103.67/14.62 (149) all_6_6 = all_4_6
% 103.67/14.62 (150) op(e0, e2) = all_4_14
% 103.67/14.62 (151) ~ (all_4_12 = all_4_14)
% 103.67/14.62 (152) ~ (all_4_4 = e1)
% 103.67/14.62 (153) ~ (all_4_8 = all_4_13)
% 103.67/14.62 (154) all_6_5 = e4 | ~ (op(e3, e4) = e4)
% 103.67/14.62 (155) all_6_15 = e1 | ~ (op(e1, e4) = e1)
% 103.67/14.62 (156) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 103.67/14.62 (157) all_6_9 = all_4_21
% 103.67/14.62 (158) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 103.67/14.62 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 103.67/14.62 (all_9_20 = e2 & op(e0, e4) = e2)
% 103.67/14.62 (159) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 103.67/14.62 all_6_24 = e0
% 103.67/14.62 (160) all_6_4 = all_4_20
% 103.67/14.62 (161) ~ (all_4_20 = all_4_24)
% 103.67/14.62 (162) ~ (all_4_4 = e0)
% 103.67/14.62 (163) ~ (all_4_8 = all_4_18)
% 103.67/14.62 (164) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 103.67/14.62 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 103.67/14.62 (all_9_19 = e3 & op(e1, e0) = e3)
% 103.67/14.62 (165) all_6_13 = all_4_17
% 103.67/14.62 (166) all_4_7 = e3 | ~ (op(e2, e3) = e3)
% 103.67/14.62 (167) all_4_15 = e3
% 103.67/14.62 (168) all_4_17 = e1 | ~ (op(e2, e1) = e1)
% 103.67/14.62 (169) all_4_15 = e4 | ~ (op(e4, e1) = e4)
% 103.67/14.62 (170) all_6_21 = all_4_9
% 103.67/14.62 (171) ~ (all_4_10 = e3)
% 103.67/14.62 (172) ~ (all_4_5 = e1)
% 103.67/14.62 (173) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 103.67/14.62 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 103.67/14.62 (all_9_18 = e4 & op(e2, e0) = e4)
% 103.67/14.62 (174) op(e3, e1) = all_4_16
% 103.67/14.62 (175) ~ (all_4_12 = all_4_17)
% 103.67/14.62 (176) all_6_23 = e0 | ~ (op(e0, e1) = e0)
% 103.67/14.62 (177) ~ (all_4_16 = e2)
% 103.67/14.62 (178) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 103.67/14.62 (179) all_6_11 = e2 | ~ (op(e2, e3) = e2)
% 103.67/14.62 (180) all_4_8 = e1 | ~ (op(e1, e3) = e1)
% 103.67/14.62 (181) ~ (all_4_6 = all_4_9)
% 103.67/14.62 (182) ~ (all_4_21 = all_4_24)
% 103.67/14.62 (183) ~ (all_4_10 = all_4_11)
% 103.67/14.62 (184) e4 = e1 | ~ (op(e4, e4) = e4)
% 103.67/14.62 (185) ~ (all_4_17 = all_4_22)
% 103.67/14.62 (186) (all_9_24 = e0 & op(e0, e0) = e0) | (((all_9_16 = e0 & op(e4, e0) = e0)
% 103.67/14.62 | (all_9_17 = e0 & op(e3, e0) = e0) | (all_9_18 = e0 & op(e2, e0) =
% 103.67/14.62 e0) | (all_9_19 = e0 & op(e1, e0) = e0)) & ((all_9_20 = e0 &
% 103.67/14.62 op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) = e0) | (all_9_22
% 103.67/14.62 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 & op(e0, e1) = e0)))
% 103.67/14.62 (187) all_4_5 = e4 | ~ (op(e4, e3) = e4)
% 103.67/14.62 (188) ~ (all_4_20 = all_4_22)
% 103.67/14.62 (189) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 103.67/14.62 (190) all_6_3 = e4 | ~ (op(e4, e1) = e4)
% 103.67/14.62 (191) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 103.67/14.62 e0
% 103.67/14.62 (192) ~ (all_4_13 = all_4_23)
% 103.67/14.62 (193) ~ (all_4_2 = e2)
% 103.67/14.62 (194) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 =
% 103.67/14.62 e0
% 103.67/14.62 (195) all_4_7 = e2 | ~ (op(e2, e3) = e2)
% 103.67/14.62 (196) (all_9_1 = e3 & op(e4, e3) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 103.67/14.62 (all_9_7 = e3 & op(e2, e3) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 103.67/14.62 (all_9_21 = e3 & op(e0, e3) = e3)
% 103.67/14.62 (197) ~ (all_4_23 = all_4_24)
% 103.67/14.62 (198) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 = e4) & op(e4, e4) = e3 &
% 103.67/14.62 op(e4, e3) = all_8_40 & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 103.67/14.62 e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4, e4) = e3 & op(e3,
% 103.67/14.62 e4) = all_8_44 & op(e3, e3) = e4 & $i(all_8_44)) | (all_8_57 = e2 &
% 103.67/14.62 all_8_61 = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 & op(e4, e2) =
% 103.67/14.62 all_8_41 & op(e2, e2) = e4 & $i(all_8_41)) | (all_8_57 = e2 &
% 103.67/14.62 all_8_61 = e4 & ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2, e4) =
% 103.67/14.62 all_8_48 & op(e2, e2) = e4 & $i(all_8_48)) | (all_8_57 = e1 &
% 103.67/14.62 all_8_63 = e4 & ~ (all_8_42 = e4) & op(e4, e4) = e1 & op(e4, e1) =
% 103.67/14.62 all_8_42 & op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 = e1 &
% 103.67/14.62 all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4, e4) = e1 & op(e1, e4) =
% 103.67/14.62 all_8_52 & op(e1, e1) = e4 & $i(all_8_52)) | (all_8_57 = e0 &
% 103.67/14.62 all_8_64 = e4 & ~ (all_8_43 = e4) & op(e4, e4) = e0 & op(e4, e0) =
% 103.67/14.62 all_8_43 & op(e0, e0) = e4 & $i(all_8_43)) | (all_8_59 = e2 &
% 103.67/14.62 all_8_61 = e3 & ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3, e2) =
% 103.67/14.62 all_8_45 & op(e2, e2) = e3 & $i(all_8_45)) | (all_8_59 = e2 &
% 103.67/14.62 all_8_61 = e3 & ~ (all_8_49 = e2) & op(e3, e3) = e2 & op(e2, e3) =
% 103.67/14.62 all_8_49 & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 = e1 &
% 103.67/14.62 all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3, e3) = e1 & op(e3, e1) =
% 103.67/14.62 all_8_46 & op(e1, e1) = e3 & $i(all_8_46)) | (all_8_59 = e1 &
% 103.67/14.62 all_8_63 = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1 & op(e1, e3) =
% 103.67/14.62 all_8_53 & op(e1, e1) = e3 & $i(all_8_53)) | (all_8_59 = e0 &
% 103.67/14.62 all_8_64 = e3 & ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3, e0) =
% 103.67/14.62 all_8_47 & op(e0, e0) = e3 & $i(all_8_47)) | (all_8_61 = e1 &
% 103.67/14.62 all_8_63 = e2 & ~ (all_8_50 = e2) & op(e2, e2) = e1 & op(e2, e1) =
% 103.67/14.62 all_8_50 & op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 = e1 &
% 103.67/14.62 all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2, e2) = e1 & op(e1, e2) =
% 103.67/14.62 all_8_54 & op(e1, e1) = e2 & $i(all_8_54)) | (all_8_61 = e0 &
% 103.67/14.62 all_8_64 = e2 & ~ (all_8_51 = e2) & op(e2, e2) = e0 & op(e2, e0) =
% 103.67/14.62 all_8_51 & op(e0, e0) = e2 & $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 103.67/14.62 $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 = e0) &
% 103.67/14.62 op(e4, e4) = e0 & op(e0, e4) = all_8_56 & $i(all_8_56)) |
% 103.67/14.62 (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58 = e0) & op(e3, e3) =
% 103.67/14.62 e0 & op(e0, e3) = all_8_58 & $i(all_8_58)) | (all_8_61 = e0 &
% 103.67/14.62 all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2, e2) = e0 & op(e0, e2)
% 103.67/14.62 = all_8_60 & $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1 & ~
% 103.67/14.62 (all_8_55 = e1) & op(e1, e1) = e0 & op(e1, e0) = all_8_55 &
% 103.67/14.62 $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62 =
% 103.67/14.62 e0) & op(e1, e1) = e0 & op(e0, e1) = all_8_62 & $i(all_8_62))))
% 103.67/14.62 (199) all_6_7 = all_4_11
% 103.67/14.62 (200) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 103.67/14.62 (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 103.67/14.62 (all_9_23 = e4 & op(e0, e1) = e4)
% 103.67/14.62 (201) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 103.67/14.62 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 103.67/14.62 (all_9_23 = e0 & op(e0, e1) = e0)
% 103.67/14.62 (202) ~ (all_4_20 = all_4_23)
% 103.67/14.62 (203) ~ (all_4_5 = all_4_10)
% 103.67/14.62 (204) all_6_16 = e3 | ~ (op(e1, e3) = e3)
% 103.67/14.62 (205) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 103.67/14.62 all_6_20 = e0
% 103.67/14.62 (206) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 103.67/14.62 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 103.67/14.62 (all_9_20 = e4 & op(e0, e4) = e4)
% 103.67/14.62 (207) all_4_13 = e1 | ~ (op(e1, e2) = e1)
% 103.67/14.62 (208) ~ (all_4_2 = all_4_12)
% 103.67/14.62 (209) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 103.67/14.62 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 103.67/14.62 (all_9_22 = e1 & op(e0, e2) = e1)
% 103.67/14.62 (210) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 103.67/14.62 (211) ~ (all_4_2 = all_4_4)
% 103.67/14.62 (212) ~ (all_4_6 = all_4_11)
% 103.67/14.62 (213) all_6_18 = e1 | ~ (op(e1, e1) = e1)
% 103.67/14.62 (214) ~ (all_4_7 = all_4_8)
% 103.67/14.62 (215) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 103.67/14.62 (216) all_4_23 = e1 | ~ (op(e1, e0) = e1)
% 103.67/14.62 (217) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 103.67/14.62 e0
% 103.67/14.62 (218) ~ (all_4_9 = all_4_24)
% 103.67/14.62 (219) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 103.67/14.62 (220) ~ (all_4_4 = all_4_9)
% 103.67/14.63 (221) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 103.67/14.63 (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 103.67/14.63 (all_9_17 = e3 & op(e3, e0) = e3)
% 103.67/14.63 (222) all_4_5 = e3 | ~ (op(e4, e3) = e3)
% 103.67/14.63 (223) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 103.67/14.63 (224) ~ (all_4_20 = e1)
% 103.67/14.63 (225) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 103.67/14.63 (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 103.67/14.63 (all_9_24 = e4 & op(e0, e0) = e4)
% 103.67/14.63 (226) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 103.67/14.63 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 103.67/14.63 (all_9_22 = e2 & op(e0, e2) = e2)
% 103.67/14.63 (227) (all_9_20 = e1 & op(e0, e4) = e1) | (all_9_21 = e1 & op(e0, e3) = e1) |
% 103.67/14.63 (all_9_22 = e1 & op(e0, e2) = e1) | (all_9_23 = e1 & op(e0, e1) = e1) |
% 103.67/14.63 (all_9_24 = e1 & op(e0, e0) = e1)
% 103.67/14.63 (228) ~ (all_4_23 = e0)
% 103.67/14.63 (229) all_6_17 = e2 | ~ (op(e1, e2) = e2)
% 103.67/14.63 (230) ~ (all_4_16 = all_4_19)
% 103.67/14.63 (231) all_6_8 = e1 | ~ (op(e3, e1) = e1)
% 103.67/14.63 (232) all_6_19 = all_4_23
% 103.67/14.63 (233) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 103.67/14.63 (234) all_4_11 = e3 | ~ (op(e3, e2) = e3)
% 103.67/14.63 (235) ~ (all_4_11 = all_4_14)
% 103.67/14.63 (236) all_4_10 = e2 | ~ (op(e4, e2) = e2)
% 103.67/14.63 (237) e3 = e2 | ~ (op(e3, e4) = e3)
% 103.67/14.63 (238) ~ (all_4_6 = all_4_21)
% 103.67/14.63 (239) ~ (all_4_7 = all_4_12)
% 103.67/14.63 (240) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 103.67/14.63 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 103.67/14.63 (all_9_17 = e4 & op(e3, e0) = e4)
% 103.67/14.63 (241) all_4_3 = e0
% 103.67/14.63 (242) all_6_14 = e2 | ~ (op(e2, e0) = e2)
% 103.67/14.63 (243) ~ (all_4_10 = e1)
% 103.67/14.63 (244) ~ (all_4_19 = all_4_24)
% 103.67/14.63 (245) all_4_20 = e0 | ~ (op(e4, e0) = e0)
% 103.67/14.63 (246) ~ (all_4_12 = all_4_22)
% 103.67/14.63 (247) (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 103.67/14.63 (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 & op(e1, e3) = e0) |
% 103.67/14.63 (all_9_21 = e0 & op(e0, e3) = e0)
% 103.67/14.63 (248) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 103.67/14.63 all_6_16 = e0
% 103.67/14.63 (249) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 = all_8_44) &
% 103.67/14.63 op(all_8_40, e4) = all_8_0 & op(all_8_40, e3) = e4 & op(e4, e3) =
% 103.67/14.63 all_8_40 & op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40) &
% 103.67/14.63 $i(all_8_44)) | (all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41 =
% 103.67/14.63 all_8_48) & op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) = e4 &
% 103.67/14.63 op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_2) &
% 103.67/14.63 $i(all_8_41) & $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 = e1) & ~
% 103.67/14.63 (all_8_42 = all_8_52) & op(all_8_42, e4) = all_8_4 & op(all_8_42, e1)
% 103.67/14.63 = e4 & op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_4) &
% 103.67/14.63 $i(all_8_42) & $i(all_8_52)) | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~
% 103.67/14.63 (all_8_43 = all_8_56) & op(all_8_43, e4) = all_8_6 & op(all_8_43, e0)
% 103.67/14.63 = e4 & op(e4, e0) = all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_6) &
% 103.67/14.63 $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 & ~ (all_8_8 = e4) & ~
% 103.67/14.63 (all_8_40 = all_8_44) & op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 103.67/14.63 all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) = all_8_44 & $i(all_8_8)
% 103.67/14.63 & $i(all_8_40) & $i(all_8_44)) | (all_8_11 = e3 & ~ (all_8_10 = e2)
% 103.67/14.63 & ~ (all_8_45 = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 103.67/14.63 op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49
% 103.67/14.63 & $i(all_8_10) & $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 & ~
% 103.67/14.63 (all_8_12 = e1) & ~ (all_8_46 = all_8_53) & op(all_8_46, e3) =
% 103.67/14.63 all_8_12 & op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 & op(e1, e3)
% 103.67/14.63 = all_8_53 & $i(all_8_12) & $i(all_8_46) & $i(all_8_53)) | (all_8_15
% 103.67/14.63 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47 = all_8_58) & op(all_8_47,
% 103.67/14.63 e3) = all_8_14 & op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 103.67/14.63 op(e0, e3) = all_8_58 & $i(all_8_14) & $i(all_8_47) & $i(all_8_58)) |
% 103.67/14.63 (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 103.67/14.63 op(all_8_48, e4) = e2 & op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 103.67/14.63 all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) & $i(all_8_41) &
% 103.67/14.63 $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45 =
% 103.67/14.63 all_8_49) & op(all_8_49, e3) = e2 & op(all_8_49, e2) = all_8_18 &
% 103.67/14.63 op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18) &
% 103.67/14.63 $i(all_8_45) & $i(all_8_49)) | (all_8_21 = e2 & ~ (all_8_20 = e1) &
% 103.67/14.63 ~ (all_8_50 = all_8_54) & op(all_8_50, e2) = all_8_20 & op(all_8_50,
% 103.67/14.63 e1) = e2 & op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 &
% 103.67/14.63 $i(all_8_20) & $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 & ~
% 103.67/14.63 (all_8_22 = e0) & ~ (all_8_51 = all_8_60) & op(all_8_51, e2) =
% 103.67/14.63 all_8_22 & op(all_8_51, e0) = e2 & op(e2, e0) = all_8_51 & op(e0, e2)
% 103.67/14.63 = all_8_60 & $i(all_8_22) & $i(all_8_51) & $i(all_8_60)) | (all_8_25
% 103.67/14.63 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 103.67/14.63 e4) = e1 & op(all_8_52, e1) = all_8_24 & op(e4, e1) = all_8_42 &
% 103.67/14.63 op(e1, e4) = all_8_52 & $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 103.67/14.63 (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46 = all_8_53) &
% 103.67/14.63 op(all_8_53, e3) = e1 & op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 103.67/14.63 all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26) & $i(all_8_46) &
% 103.67/14.63 $i(all_8_53)) | (all_8_29 = e1 & ~ (all_8_28 = e2) & ~ (all_8_50 =
% 103.67/14.63 all_8_54) & op(all_8_54, e2) = e1 & op(all_8_54, e1) = all_8_28 &
% 103.67/14.63 op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 & $i(all_8_28) &
% 103.67/14.63 $i(all_8_50) & $i(all_8_54)) | (all_8_31 = e1 & ~ (all_8_30 = e0) &
% 103.67/14.63 ~ (all_8_55 = all_8_62) & op(all_8_55, e1) = all_8_30 & op(all_8_55,
% 103.67/14.63 e0) = e1 & op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 103.67/14.63 $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 & ~
% 103.67/14.63 (all_8_32 = e4) & ~ (all_8_43 = all_8_56) & op(all_8_56, e4) = e0 &
% 103.67/14.63 op(all_8_56, e0) = all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 103.67/14.63 all_8_56 & $i(all_8_32) & $i(all_8_43) & $i(all_8_56)) | (all_8_35 =
% 103.67/14.63 e0 & ~ (all_8_34 = e3) & ~ (all_8_47 = all_8_58) & op(all_8_58, e3)
% 103.67/14.63 = e0 & op(all_8_58, e0) = all_8_34 & op(e3, e0) = all_8_47 & op(e0,
% 103.67/14.63 e3) = all_8_58 & $i(all_8_34) & $i(all_8_47) & $i(all_8_58)) |
% 103.67/14.63 (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51 = all_8_60) &
% 103.67/14.63 op(all_8_60, e2) = e0 & op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 103.67/14.63 all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36) & $i(all_8_51) &
% 103.67/14.63 $i(all_8_60)) | (all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55 =
% 103.67/14.63 all_8_62) & op(all_8_62, e1) = e0 & op(all_8_62, e0) = all_8_38 &
% 103.67/14.63 op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38) &
% 103.67/14.63 $i(all_8_55) & $i(all_8_62))
% 103.67/14.63 (250) ~ (all_4_4 = all_4_24)
% 103.67/14.63 (251) all_4_1 = e2
% 103.67/14.63 (252) all_9_2 = e2
% 103.67/14.63 (253) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 103.67/14.63 (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 103.67/14.63 (all_9_17 = e0 & op(e3, e0) = e0)
% 103.67/14.63 (254) all_4_23 = e0 | ~ (op(e1, e0) = e0)
% 103.67/14.63 (255) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 103.67/14.63 (256) ~ (all_4_16 = all_4_21)
% 103.67/14.63 (257) all_6_14 = all_4_22
% 103.67/14.63 (258) ~ (e3 = e0)
% 103.67/14.63 (259) op(e0, e3) = all_4_9
% 103.67/14.63 (260) ~ (all_4_14 = all_4_24)
% 103.67/14.63 (261) all_6_11 = all_4_7
% 103.67/14.63 (262) ~ (all_4_22 = all_4_23)
% 103.67/14.63 (263) all_6_20 = e4 | ~ (op(e0, e4) = e4)
% 103.67/14.63 (264) all_4_4 = e0 | ~ (op(e0, e4) = e0)
% 103.67/14.63 (265) all_4_9 = e0 | ~ (op(e0, e3) = e0)
% 103.67/14.63 (266) op(e1, e1) = all_4_18
% 103.67/14.63
% 103.67/14.63 Begin of proof
% 103.67/14.63 |
% 103.67/14.63 | BETA: splitting (254) gives:
% 103.67/14.63 |
% 103.67/14.63 | Case 1:
% 103.67/14.63 | |
% 103.67/14.63 | | (267) ~ (op(e1, e0) = e0)
% 103.67/14.63 | |
% 103.67/14.63 | | PRED_UNIFY: (78), (267) imply:
% 103.67/14.63 | | (268) ~ (unit = e1)
% 103.67/14.63 | |
% 103.67/14.63 | | BETA: splitting (187) gives:
% 103.67/14.63 | |
% 103.67/14.63 | | Case 1:
% 103.67/14.63 | | |
% 103.67/14.63 | | | (269) ~ (op(e4, e3) = e4)
% 103.67/14.63 | | |
% 103.67/14.63 | | | PRED_UNIFY: (58), (269) imply:
% 103.67/14.63 | | | (270) ~ (unit = e3)
% 103.67/14.63 | | |
% 103.67/14.63 | | | BETA: splitting (184) gives:
% 103.67/14.63 | | |
% 103.67/14.63 | | | Case 1:
% 103.67/14.63 | | | |
% 103.67/14.63 | | | | (271) ~ (op(e4, e4) = e4)
% 103.67/14.63 | | | |
% 103.67/14.63 | | | | PRED_UNIFY: (96), (271) imply:
% 103.67/14.63 | | | | (272) ~ (unit = e4)
% 103.67/14.63 | | | |
% 103.67/14.63 | | | | BETA: splitting (77) gives:
% 103.67/14.63 | | | |
% 103.67/14.63 | | | | Case 1:
% 103.67/14.63 | | | | |
% 103.67/14.63 | | | | | (273) ~ (op(e2, e0) = e0)
% 103.67/14.63 | | | | |
% 103.67/14.63 | | | | | PRED_UNIFY: (78), (273) imply:
% 103.67/14.63 | | | | | (274) ~ (unit = e2)
% 103.67/14.63 | | | | |
% 103.67/14.63 | | | | | BETA: splitting (76) gives:
% 103.67/14.63 | | | | |
% 103.67/14.63 | | | | | Case 1:
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | (275) unit = e4
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | REDUCE: (272), (275) imply:
% 103.67/14.63 | | | | | | (276) $false
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | CLOSE: (276) is inconsistent.
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | Case 2:
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | (277) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | BETA: splitting (277) gives:
% 103.67/14.63 | | | | | |
% 103.67/14.63 | | | | | | Case 1:
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | (278) unit = e3
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | REDUCE: (270), (278) imply:
% 103.67/14.63 | | | | | | | (279) $false
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | CLOSE: (279) is inconsistent.
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | Case 2:
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | (280) unit = e2 | unit = e1 | unit = e0
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | BETA: splitting (280) gives:
% 103.67/14.63 | | | | | | |
% 103.67/14.63 | | | | | | | Case 1:
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | (281) unit = e1
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | REDUCE: (268), (281) imply:
% 103.67/14.63 | | | | | | | | (282) $false
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | CLOSE: (282) is inconsistent.
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | Case 2:
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | (283) unit = e2 | unit = e0
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | BETA: splitting (283) gives:
% 103.67/14.63 | | | | | | | |
% 103.67/14.63 | | | | | | | | Case 1:
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | (284) unit = e2
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (274), (284) imply:
% 103.67/14.63 | | | | | | | | | (285) $false
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | CLOSE: (285) is inconsistent.
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | Case 2:
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | (286) unit = e0
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (96), (286) imply:
% 103.67/14.63 | | | | | | | | | (287) op(e0, e4) = e4
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (52), (286) imply:
% 103.67/14.63 | | | | | | | | | (288) op(e0, e3) = e3
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (129), (286) imply:
% 103.67/14.63 | | | | | | | | | (289) op(e0, e2) = e2
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (58), (286) imply:
% 103.67/14.63 | | | | | | | | | (290) op(e4, e0) = e4
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (72), (286) imply:
% 103.67/14.63 | | | | | | | | | (291) op(e3, e0) = e3
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (102), (286) imply:
% 103.67/14.63 | | | | | | | | | (292) op(e2, e0) = e2
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (39), (286) imply:
% 103.67/14.63 | | | | | | | | | (293) op(e1, e0) = e1
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | REDUCE: (37), (286) imply:
% 103.67/14.63 | | | | | | | | | (294) op(e0, e0) = e0
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | BETA: splitting (242) gives:
% 103.67/14.63 | | | | | | | | |
% 103.67/14.63 | | | | | | | | | Case 1:
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | (295) ~ (op(e2, e0) = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | PRED_UNIFY: (292), (295) imply:
% 103.67/14.63 | | | | | | | | | | (296) $false
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | CLOSE: (296) is inconsistent.
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | Case 2:
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | (297) all_6_14 = e2
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | COMBINE_EQS: (257), (297) imply:
% 103.67/14.63 | | | | | | | | | | (298) all_4_22 = e2
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | SIMP: (298) implies:
% 103.67/14.63 | | | | | | | | | | (299) all_4_22 = e2
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (141), (299) imply:
% 103.67/14.63 | | | | | | | | | | (300) ~ (all_4_7 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (246), (299) imply:
% 103.67/14.63 | | | | | | | | | | (301) ~ (all_4_12 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (185), (299) imply:
% 103.67/14.63 | | | | | | | | | | (302) ~ (all_4_17 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (188), (299) imply:
% 103.67/14.63 | | | | | | | | | | (303) ~ (all_4_20 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (74), (299) imply:
% 103.67/14.63 | | | | | | | | | | (304) ~ (all_4_21 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | REDUCE: (262), (299) imply:
% 103.67/14.63 | | | | | | | | | | (305) ~ (all_4_23 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | SIMP: (305) implies:
% 103.67/14.63 | | | | | | | | | | (306) ~ (all_4_23 = e2)
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | BETA: splitting (219) gives:
% 103.67/14.63 | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | Case 1:
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | (307) ~ (op(e0, e4) = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | PRED_UNIFY: (287), (307) imply:
% 103.67/14.63 | | | | | | | | | | | (308) $false
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | CLOSE: (308) is inconsistent.
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | Case 2:
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | (309) all_4_4 = e4
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | REDUCE: (211), (309) imply:
% 103.67/14.63 | | | | | | | | | | | (310) ~ (all_4_2 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | REDUCE: (220), (309) imply:
% 103.67/14.63 | | | | | | | | | | | (311) ~ (all_4_9 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | SIMP: (311) implies:
% 103.67/14.63 | | | | | | | | | | | (312) ~ (all_4_9 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | REDUCE: (10), (309) imply:
% 103.67/14.63 | | | | | | | | | | | (313) ~ (all_4_14 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | SIMP: (313) implies:
% 103.67/14.63 | | | | | | | | | | | (314) ~ (all_4_14 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | REDUCE: (66), (309) imply:
% 103.67/14.63 | | | | | | | | | | | (315) ~ (all_4_19 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | SIMP: (315) implies:
% 103.67/14.63 | | | | | | | | | | | (316) ~ (all_4_19 = e4)
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | BETA: splitting (255) gives:
% 103.67/14.63 | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | Case 1:
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | (317) ~ (op(e4, e0) = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | PRED_UNIFY: (290), (317) imply:
% 103.67/14.63 | | | | | | | | | | | | (318) $false
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | CLOSE: (318) is inconsistent.
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | Case 2:
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | (319) all_6_4 = e4
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | COMBINE_EQS: (160), (319) imply:
% 103.67/14.63 | | | | | | | | | | | | (320) all_4_20 = e4
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | REDUCE: (91), (320) imply:
% 103.67/14.63 | | | | | | | | | | | | (321) ~ (all_4_5 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | REDUCE: (59), (320) imply:
% 103.67/14.63 | | | | | | | | | | | | (322) ~ (all_4_10 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | REDUCE: (98), (320) imply:
% 103.67/14.63 | | | | | | | | | | | | (323) ~ (all_4_21 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | SIMP: (323) implies:
% 103.67/14.63 | | | | | | | | | | | | (324) ~ (all_4_21 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | REDUCE: (202), (320) imply:
% 103.67/14.63 | | | | | | | | | | | | (325) ~ (all_4_23 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | SIMP: (325) implies:
% 103.67/14.63 | | | | | | | | | | | | (326) ~ (all_4_23 = e4)
% 103.67/14.63 | | | | | | | | | | | |
% 103.67/14.63 | | | | | | | | | | | | REDUCE: (161), (320) imply:
% 103.67/14.64 | | | | | | | | | | | | (327) ~ (all_4_24 = e4)
% 103.67/14.64 | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | SIMP: (327) implies:
% 103.67/14.64 | | | | | | | | | | | | (328) ~ (all_4_24 = e4)
% 103.67/14.64 | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | REDUCE: (303), (320) imply:
% 103.67/14.64 | | | | | | | | | | | | (329) ~ (e4 = e2)
% 103.67/14.64 | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | BETA: splitting (89) gives:
% 103.67/14.64 | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | (330) ~ (op(e0, e3) = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | PRED_UNIFY: (288), (330) imply:
% 103.67/14.64 | | | | | | | | | | | | | (331) $false
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | CLOSE: (331) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | (332) all_4_9 = e3
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | COMBINE_EQS: (170), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (333) all_6_21 = e3
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (121), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (334) ~ (all_4_5 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (181), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (335) ~ (all_4_6 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (75), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (336) ~ (all_4_7 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (145), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (337) ~ (all_4_8 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (109), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (338) ~ (all_4_14 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | SIMP: (338) implies:
% 103.67/14.64 | | | | | | | | | | | | | (339) ~ (all_4_14 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | REDUCE: (50), (332) imply:
% 103.67/14.64 | | | | | | | | | | | | | (340) ~ (all_4_19 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | SIMP: (340) implies:
% 103.67/14.64 | | | | | | | | | | | | | (341) ~ (all_4_19 = e3)
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | BETA: splitting (139) gives:
% 103.67/14.64 | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | (342) ~ (op(e1, e0) = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | PRED_UNIFY: (293), (342) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (343) $false
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | CLOSE: (343) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | (344) all_6_19 = e1
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | COMBINE_EQS: (232), (344) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (345) all_4_23 = e1
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | SIMP: (345) implies:
% 103.67/14.64 | | | | | | | | | | | | | | (346) all_4_23 = e1
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (119), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (347) ~ (all_4_8 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (192), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (348) ~ (all_4_13 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (49), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (349) ~ (all_4_21 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (197), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (350) ~ (all_4_24 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | SIMP: (350) implies:
% 103.67/14.64 | | | | | | | | | | | | | | (351) ~ (all_4_24 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (326), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (352) ~ (e4 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | REDUCE: (306), (346) imply:
% 103.67/14.64 | | | | | | | | | | | | | | (353) ~ (e2 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | SIMP: (353) implies:
% 103.67/14.64 | | | | | | | | | | | | | | (354) ~ (e2 = e1)
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 103.67/14.64 | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | (355) (all_9_1 = e3 & op(e4, e3) = e3) | (all_9_3 = e3 &
% 103.67/14.64 | | | | | | | | | | | | | | | op(e3, e3) = e3)
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | BETA: splitting (355) gives:
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | (356) all_9_1 = e3 & op(e4, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | ALPHA: (356) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | (357) op(e4, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (358) ~ (op(e4, e3) = e3)
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | PRED_UNIFY: (357), (358) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (359) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (360) all_4_5 = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | REDUCE: (334), (360) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (361) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | CLOSE: (361) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | (362) all_9_3 = e3 & op(e3, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | REF_CLOSE: (215), (335), (362) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | #212.
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | (363) (all_9_7 = e3 & op(e2, e3) = e3) | (all_9_13 = e3
% 103.67/14.64 | | | | | | | | | | | | | | | & op(e1, e3) = e3) | (all_9_21 = e3 & op(e0, e3)
% 103.67/14.64 | | | | | | | | | | | | | | | = e3)
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | BETA: splitting (363) gives:
% 103.67/14.64 | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | (364) all_9_7 = e3 & op(e2, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | ALPHA: (364) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | (365) op(e2, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (366) ~ (op(e2, e3) = e3)
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | PRED_UNIFY: (365), (366) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (367) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (368) all_4_7 = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | REDUCE: (336), (368) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (369) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | CLOSE: (369) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | (370) (all_9_13 = e3 & op(e1, e3) = e3) | (all_9_21 = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | & op(e0, e3) = e3)
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (371) all_9_13 = e3 & op(e1, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | ALPHA: (371) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (372) op(e1, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | REF_CLOSE: (210), (337), (372) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | #211.
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | (373) all_9_21 = e3 & op(e0, e3) = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | ALPHA: (373) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | (374) all_9_21 = e3
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (375) ~ (op(e0, e0) = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (294), (375) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (376) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | CLOSE: (376) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (377) all_6_24 = e0
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (377) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (378) all_4_24 = e0
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | SIMP: (378) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (379) all_4_24 = e0
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | REDUCE: (260), (379) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (380) ~ (all_4_14 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | REDUCE: (244), (379) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (381) ~ (all_4_19 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | REDUCE: (182), (379) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (382) ~ (all_4_21 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | REDUCE: (328), (379) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (383) ~ (e4 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | REDUCE: (351), (379) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | (384) ~ (e1 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | (385) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 &
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | (386) all_9_6 = e2 & op(e2, e4) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (193), (386) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | #210.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | (387) all_9_7 = e2 & op(e2, e3) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | ALPHA: (387) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | (388) op(e2, e3) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (389) ~ (op(e2, e3) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (388), (389) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (390) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | CLOSE: (390) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (391) all_4_7 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (391) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (392) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | CLOSE: (392) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | (393) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2, e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | BETA: splitting (393) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | (394) all_9_8 = e2 & op(e2, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (301), (394) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | #209.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | (395) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | BETA: splitting (395) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (396) all_9_11 = e2 & op(e2, e1) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (396) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (397) op(e2, e1) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (165), (302), (397) are inconsistent by
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | sub-proof #208.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (398) all_9_18 = e2 & op(e2, e0) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | ALPHA: (398) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | (399) all_9_18 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | (400) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 &
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e4)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (189), (251), (271), (329), (400) are inconsistent
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #206.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | (401) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (401) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | (402) all_9_6 = e4 & op(e2, e4) = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (402) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | (403) op(e2, e4) = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (233), (310), (403) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | #205.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | (404) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e4)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (404) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | (405) all_9_12 = e4 & op(e1, e4) = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (405) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | (406) op(e1, e4) = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (124), (406) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | (407) all_9_20 = e4 & op(e0, e4) = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (407) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | (408) all_9_20 = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (146) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (409) ~ (op(e0, e2) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (289), (409) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (410) $false
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (410) is inconsistent.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (411) all_4_14 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (411) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (412) ~ (all_4_10 = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (411) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (413) ~ (all_4_13 = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (411) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (414) ~ (all_4_19 = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (414) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (415) ~ (all_4_19 = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (314), (411) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (416) ~ (e4 = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (380), (411) imply:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | (417) ~ (e2 = e0)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (418) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 &
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (418) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (419) all_9_4 = e2 & op(e4, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (236), (412), (419) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (420) all_9_5 = e2 & op(e3, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (420) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (421) op(e3, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (99), (421) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #203.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | (422) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e2) | (all_9_22 = e2 & op(e0, e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (422) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (423) all_9_8 = e2 & op(e2, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (87), (301), (423) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | (424) (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_22 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e2)
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (424) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (425) all_9_14 = e2 & op(e1, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (425) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (426) op(e1, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (413), (426) are inconsistent by sub-proof
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (427) all_9_22 = e2 & op(e0, e2) = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (427) implies:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (428) all_9_22 = e2
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (429) all_6_2 = e4
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (429) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (430) all_4_10 = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (322), (430) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (431) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (431) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (432) ~ (all_6_2 = e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (433) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (433) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (434) all_6_2 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (434) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (435) all_4_10 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (435) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (436) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (436) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (437) ~ (all_6_2 = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (438) all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (438) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (439) all_6_2 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (439) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (440) all_4_10 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (243), (440) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (441) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (441) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442) ~ (all_6_2 = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (443) all_6_2 = e2 | all_6_2 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444) ~ (op(e3, e0) = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (291), (444) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (445) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (445) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446) all_4_21 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (446) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (447) ~ (all_4_11 = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (256), (446) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448) ~ (all_4_16 = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (324), (446) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (449) ~ (e4 = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (304), (446) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450) ~ (e3 = e2)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (446) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451) ~ (e3 = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (452) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (128), (215), (335), (450), (452) are
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (453) (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | (all_9_17 = e3 & op(e3, e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (453) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454) all_9_5 = e3 & op(e3, e2) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (178), (199), (447), (454) are inconsistent by
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (455) (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_17 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (455) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456) all_9_10 = e3 & op(e3, e1) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (456) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457) op(e3, e1) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (448), (457) are inconsistent by sub-proof
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (458) all_9_17 = e3 & op(e3, e0) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (458) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459) all_9_17 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (460) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (106), (128), (450), (451), (460) are
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #214.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (461) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (461) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (462) all_9_6 = e3 & op(e2, e4) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (462) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463) all_9_6 = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (464) op(e2, e4) = e3
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (465) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e2)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (465) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (466) all_9_0 = e2 & op(e4, e4) = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (466) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (467) op(e4, e4) = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (354), (467) are inconsistent by
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (468) all_9_1 = e2 & op(e4, e3) = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (468) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (469) all_9_1 = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (470) (all_9_20 = e1 & op(e0, e4) = e1) | (all_9_21 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (470) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (471) all_9_20 = e1 & op(e0, e4) = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (471) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472) all_9_20 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (251), (258), (329), (354), (417), (450),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (472) are inconsistent by sub-proof #188.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (473) all_9_21 = e1 & op(e0, e3) = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (374), (408), (417), (450),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (463), (473) are inconsistent by sub-proof
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #184.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (474) (all_9_22 = e1 & op(e0, e2) = e1) | (all_9_23 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e1) | (all_9_24 = e1 & op(e0, e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (474) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (475) all_9_22 = e1 & op(e0, e2) = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (417), (428),
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (475) are inconsistent by sub-proof
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #180.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (476) (all_9_23 = e1 & op(e0, e1) = e1) | (all_9_24 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (476) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (477) all_9_23 = e1 & op(e0, e1) = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (477) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (478) all_9_23 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479) op(e0, e1) = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (480) ~ (op(e0, e1) = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (479), (480) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (481) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (481) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (482) all_4_19 = e1
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (230), (482) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (483) ~ (all_4_16 = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (482) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (484) ~ (all_4_17 = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (341), (482) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (485) ~ (e3 = e1)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486) all_9_24 = e0 & op(e0, e0) = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (486) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (487) all_9_24 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (22) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (488) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489) all_9_0 = e4 & op(e4, e4) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (489) are inconsistent by sub-proof #207.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (490) all_9_1 = e4 & op(e4, e3) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (490) are inconsistent by sub-proof #179.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e4) | (all_9_16 = e4 & op(e4, e0) =
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (491) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (492) all_9_4 = e4 & op(e4, e2) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (492) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (493) op(e4, e2) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (92), (322), (493) are inconsistent by sub-proof
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (494) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_16 = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (494) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (495) all_9_9 = e4 & op(e4, e1) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (495) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (496) op(e4, e1) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (167), (169), (496) are inconsistent by
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (497) all_9_16 = e4 & op(e4, e0) = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (497) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (498) all_9_16 = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (443) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (499) all_6_2 = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (499) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (500) all_4_10 = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (500) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (501) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (501) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (502) all_6_2 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (122), (502) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (503) all_4_10 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (203), (503) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (504) ~ (all_4_5 = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (183), (503) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (505) ~ (all_4_11 = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (505) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (506) ~ (all_4_11 = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (171), (503) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (507) ~ (e3 = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (412), (503) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (508) ~ (e2 = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (509) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (417), (469), (509) are
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (510) (all_9_4 = e0 & op(e4, e2) = e0) | (all_9_9 = e0 &
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e0) | (all_9_16 = e0 & op(e4, e0) =
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (510) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (511) all_9_4 = e0 & op(e4, e2) = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (511) implies:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512) all_9_4 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (513) op(e4, e2) = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (514) all_6_1 = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (514) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515) all_4_5 = e4
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (321), (515) imply:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (516) $false
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (516) is inconsistent.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (517) ~ (all_6_1 = e4)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (518) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (519) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e2)
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (519) gives:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (520) all_9_9 = e2 & op(e4, e1) = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (450), (520) are inconsistent by sub-proof
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #174.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521) all_9_10 = e2 & op(e3, e1) = e2
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (174), (177), (521) are inconsistent by
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (522) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_9_23 = e2 & op(e0, e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (522) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (523) all_9_11 = e2 & op(e2, e1) = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (523) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (524) op(e2, e1) = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (165), (302), (524) are inconsistent by
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #208.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_23 = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e2)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (525) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (526) all_9_15 = e2 & op(e1, e1) = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (526) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (527) all_9_15 = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528) op(e1, e1) = e2
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529) (all_9_4 = e3 & op(e4, e2) = e3) | (all_9_5 = e3 &
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e3)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (529) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (530) all_9_4 = e3 & op(e4, e2) = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (530) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (531) all_9_4 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (147) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (532) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 &
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e0)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (417), (469), (532) are
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (510) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (531) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (533) e3 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (533) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534) all_9_6 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (93), (105), (106), (128),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (408), (450), (451), (534) are inconsistent
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #172.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_16 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e0)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (80), (93), (101), (105), (106),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (258), (408), (450), (451), (463), (498),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (535) are inconsistent by sub-proof #170.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (536) all_9_5 = e3 & op(e3, e2) = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (178), (199), (447), (536) are inconsistent by
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (537) (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_14 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e3) | (all_9_22 = e3 & op(e0, e2)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (537) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (538) all_9_8 = e3 & op(e2, e2) = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (538) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (539) all_9_8 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (540) all_6_1 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (540) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541) all_4_5 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (541) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (542) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (543) ~ (all_6_1 = e3)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (544) all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (545) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 &
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (545) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (546) all_9_4 = e1 & op(e4, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (512), (546) are inconsistent by sub-proof
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #169.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (547) all_9_5 = e1 & op(e3, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (547) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (548) all_9_5 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (544) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (549) all_6_1 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (549) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550) all_4_5 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (550) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (551) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (551) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552) ~ (all_6_1 = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553) all_6_1 = e2 | all_6_1 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (554) (all_9_6 = e1 & op(e2, e4) = e1) | (all_9_7 = e1 &
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (554) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (555) all_9_6 = e1 & op(e2, e4) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (555) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) all_9_6 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (408), (417), (450), (451),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (556) are inconsistent by sub-proof #185.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (557) all_9_7 = e1 & op(e2, e3) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (557) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) all_9_7 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (14), (15), (16), (17), (28), (30),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (40), (43), (44), (48), (51), (56), (61), (70),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (80), (93), (101), (105), (106), (124),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (127), (128), (135), (156), (158), (172), (173),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (201), (206), (233), (237), (240),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (251), (252), (258), (259), (269),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (310), (312), (321), (333), (334), (337),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (374), (381), (399), (408), (451), (459),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (469), (504), (527), (539), (548), (553),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (558) are inconsistent by sub-proof #148.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (559) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_11 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e1) | (all_9_18 = e1 & op(e2, e0)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (559) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (560) all_9_8 = e1 & op(e2, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (408), (417), (450), (451),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (539), (560) are inconsistent by sub-proof
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #147.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (561) (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_18 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (561) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562) all_9_11 = e1 & op(e2, e1) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (562) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563) op(e2, e1) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564) ~ (op(e2, e1) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (563), (564) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (565) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (565) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (566) all_4_17 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (484), (566) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (567) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (567) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (568) all_9_18 = e1 & op(e2, e0) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (399), (417),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (568) are inconsistent by sub-proof
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (569) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0, e2)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (569) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570) all_9_8 = e1 & op(e2, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (408), (417), (450), (451),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (539), (570) are inconsistent by sub-proof
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #147.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (571) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (572) all_9_14 = e1 & op(e1, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (572) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (573) op(e1, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (88), (348), (573) are inconsistent by
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (574) all_9_22 = e1 & op(e0, e2) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (417), (428),
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (574) are inconsistent by sub-proof
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #144.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575) (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_22 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e3)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (575) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576) all_9_14 = e3 & op(e1, e2) = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (576) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577) all_9_14 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578) op(e1, e2) = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (518) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579) all_6_1 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (579) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580) all_4_5 = e3
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (580) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (581) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582) ~ (all_6_1 = e3)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (583) all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (583) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (584) all_6_1 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (584) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (585) all_4_5 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (585) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (586) $false
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (586) is inconsistent.
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (587) ~ (all_6_1 = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (588) all_6_1 = e2 | all_6_1 = e0
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (589) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (589) gives:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (590) all_9_16 = e1 & op(e4, e0) = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (590) implies:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (591) all_9_16 = e1
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (591) imply:
% 103.67/14.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (592) e4 = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (592) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (593) all_9_20 = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (251), (258), (329), (354), (417), (450),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (593) are inconsistent by sub-proof #188.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (594) all_9_17 = e1 & op(e3, e0) = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (106), (128),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (158), (178), (193), (199), (215), (221),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (335), (354), (408), (417), (447),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (448), (450), (451), (463), (594) are inconsistent
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #142.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (595) (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | (all_9_24 = e1 & op(e0, e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (595) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (596) all_9_18 = e1 & op(e2, e0) = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (399), (417),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (596) are inconsistent by sub-proof
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (597) (all_9_19 = e1 & op(e1, e0) = e1) | (all_9_24 = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (597) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (598) all_9_19 = e1 & op(e1, e0) = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (598) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (599) all_9_19 = e1
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (588) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (600) all_6_1 = e2
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (600) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (601) all_4_5 = e2
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (601) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (602) ~ (all_4_6 = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (601) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (603) ~ (all_4_7 = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (601) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (604) ~ (all_4_8 = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (604) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (605) ~ (all_4_8 = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (334), (601) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (606) ~ (e3 = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (601) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (607) op(e4, e3) = e2
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (608) all_6_16 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (608) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (609) all_4_8 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (609) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (610) all_4_8 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (610) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611) ~ (all_4_6 = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (610) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612) ~ (all_4_7 = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (613) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 &
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (269), (611), (613) are inconsistent
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #141.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (614) (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4) | (all_9_21 = e4 & op(e0, e3)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (615) all_9_7 = e4 & op(e2, e3) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (105), (612), (615) are inconsistent by
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (616) (all_9_13 = e4 & op(e1, e3) = e4) | (all_9_21 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (616) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (617) all_9_13 = e4 & op(e1, e3) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (617) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618) all_9_13 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (619) op(e1, e3) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620) ~ (op(e2, e4) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (621) ~ (op(e1, e3) = e3)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (42) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (622) ~ (op(e4, e1) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (623) ~ (op(e1, e3) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624) ~ (op(e3, e1) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (60) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (625) ~ (op(e1, e2) = e2)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (626) ~ (op(e3, e1) = e3)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (124) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (627) ~ (op(e1, e4) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (628) ~ (op(e3, e4) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (629) ~ (op(e0, e1) = e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (92) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (630) ~ (op(e4, e2) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (88) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (631) ~ (op(e1, e2) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (90) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (632) ~ (op(e4, e1) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (633) ~ (op(e1, e4) = e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (116) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (634) ~ (op(e3, e0) = e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (635) all_6_8 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (635) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (636) all_4_16 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (636) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (637) ~ (all_4_11 = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (36) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (638) all_6_7 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (638) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (639) all_4_11 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (639) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (640) $false
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (640) is inconsistent.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (641) ~ (all_6_7 = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (642) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (643) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (643) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (644) all_9_9 = e0 & op(e4, e1) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (80), (93), (105), (106), (128),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (408), (450), (451), (463), (644) are
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (645) all_9_10 = e0 & op(e3, e1) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (14), (15), (30), (31), (43), (44),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (48), (51), (56), (61), (70), (79), (93), (101),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (104), (105), (106), (124), (128), (140), (149),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (178), (189), (193), (194), (199), (206),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (221), (233), (237), (240), (248),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (271), (310), (329), (335), (337),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (354), (408), (417), (447), (448), (450),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (459), (463), (506), (605), (611), (619),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624), (642), (645) are inconsistent by sub-proof
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #133.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (646) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (646) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (647) all_9_11 = e0 & op(e2, e1) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (647) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (648) all_9_11 = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (649) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 &
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (649) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (650) all_9_2 = e0 & op(e3, e4) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (650) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651) op(e3, e4) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (105), (417), (651) are inconsistent by
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #223.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (652) all_9_3 = e0 & op(e3, e3) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (652) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653) all_9_3 = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (654) op(e3, e3) = e0
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (655) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 &
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (611), (628), (655) are inconsistent
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #131.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (656) (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4) | (all_9_17 = e4 & op(e3, e0)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (657) all_9_5 = e4 & op(e3, e2) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (14), (15), (16), (43), (51), (61),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (101), (105), (106), (124), (128),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (158), (178), (189), (193), (199), (206),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (221), (251), (258), (329), (335), (354),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (417), (447), (448), (450), (451), (463),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624), (654), (657) are inconsistent by sub-proof
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (658) (all_9_10 = e4 & op(e3, e1) = e4) | (all_9_17 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (658) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (659) all_9_10 = e4 & op(e3, e1) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (659) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (660) all_9_10 = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (148) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (661) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_5 = e4 &
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e4)
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (661) gives:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (662) all_9_4 = e4 & op(e4, e2) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (662) implies:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (663) op(e4, e2) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (630), (663) imply:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (664) $false
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (664) is inconsistent.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (665) all_9_5 = e4 & op(e3, e2) = e4
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (14), (15), (16), (43), (51), (61),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (101), (105), (106), (124), (128),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (140), (158), (178), (189), (193), (199), (206),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (215), (221), (251), (258), (329), (335), (354),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (417), (447), (448), (450), (451), (463),
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624), (654), (665) are inconsistent by sub-proof
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130.
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (666) (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_14 = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e4) | (all_9_22 = e4 & op(e0, e2)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (666) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (667) all_9_8 = e4 & op(e2, e2) = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (667) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (668) all_9_8 = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669) op(e2, e2) = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (670) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (43), (51), (61), (70),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (101), (105), (124), (158), (189), (193),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (251), (252), (258), (329), (354), (417),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (469), (654), (670) are inconsistent
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #152.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (671) (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1) | (all_9_21 = e1 & op(e0, e3)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (671) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (672) all_9_7 = e1 & op(e2, e3) = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (672) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (673) all_9_7 = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (674) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (674) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (675) all_9_4 = e1 & op(e4, e2) = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (512), (675) are inconsistent by sub-proof
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #169.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (676) all_9_5 = e1 & op(e3, e2) = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (676) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677) all_9_5 = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (642) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (678) all_6_7 = e3
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (678) imply:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (679) all_4_11 = e3
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (679) imply:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (680) $false
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (680) is inconsistent.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (681) ~ (all_6_7 = e3)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (682) all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (682) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (683) all_6_7 = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (199), (683) imply:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (684) all_4_11 = e1
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (212), (684) imply:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (685) ~ (all_4_6 = e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (686) all_6_6 = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (611), (686) are inconsistent by sub-proof
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (687) ~ (all_6_6 = e4)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (688) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (689) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e3 & op(e4, e3) = all_8_40
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(e3, e4) = all_8_44 & op(e3, e3)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_44)) | (all_8_57 = e2 & all_8_61
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e2) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41)) | (all_8_57 = e2 & all_8_61 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_48 & op(e2, e2) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_57 = e1 & all_8_63 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_42 = e4) & op(e4, e4) = e1 & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e1) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42)) | (all_8_57 = e1 & all_8_63 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_52 = e1) & op(e4, e4) = e1 & op(e1,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_52 & op(e1, e1) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_52)) | (all_8_57 = e0 & all_8_64 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_43 = e4) & op(e4, e4) = e0 & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_43 & op(e0, e0) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43)) | (all_8_59 = e2 & all_8_61 = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_45 & op(e2, e2) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (689) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (690) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e3 & op(e4, e3) = all_8_40
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(e3, e4) = all_8_44 & op(e3, e3)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_44)) | (all_8_57 = e2 & all_8_61
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e2) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41)) | (all_8_57 = e2 & all_8_61 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_48 & op(e2, e2) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (354), (451), (690) are inconsistent
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #129.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (691) (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e1 & op(e4, e1) = all_8_42
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(e1, e4) = all_8_52 & op(e1, e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_52)) | (all_8_57 = e0 & all_8_64
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_43 = e4) & op(e4, e4) = e0 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_8_43 & op(e0, e0) = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43)) | (all_8_59 = e2 & all_8_61 = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_45 & op(e2, e2) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692) (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e1 & op(e4, e1) = all_8_42
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(e1, e4) = all_8_52 & op(e1, e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_52))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (692) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (693) all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 = e4)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e1 & op(e4, e1) = all_8_42 & op(e1,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e4 & $i(all_8_42)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (693) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (694) op(e1, e1) = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (28), (43), (51), (61), (70),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (93), (104), (105), (106), (124), (128),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (149), (158), (189), (193), (206), (237),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (259), (269), (312), (329), (335),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354), (374), (408), (450), (451), (463), (469),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528), (611), (618), (653), (685), (688), (694)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #128.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (695) all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_52 = e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e1 & op(e1, e4) = all_8_52 & op(e1,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e4 & $i(all_8_52)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (695) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (696) op(e1, e1) = e4
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (28), (43), (51), (61), (70),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (79), (93), (104), (105), (106), (124), (128),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (149), (158), (189), (193), (206), (237),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (259), (269), (312), (329), (335),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354), (374), (408), (450), (451), (463), (469),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (528), (611), (618), (653), (685), (688), (696)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #128.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (697) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_43 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e0 & op(e4, e0) = all_8_43
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e4 & $i(all_8_43)) | (all_8_59 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & all_8_61 = e3 & ~ (all_8_45 = e3) & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e3, e2) = all_8_45 & op(e2, e2)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_45))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (697) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (698) all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_43 = e4)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e0 & op(e4, e0) = all_8_43 & op(e0,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e4 & $i(all_8_43)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (698) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (699) op(e4, e4) = e0
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (699) are inconsistent by
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (700) all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_45 = e3)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2 & op(e3, e2) = all_8_45 & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e3 & $i(all_8_45)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (700) implies:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (701) op(e2, e2) = e3
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (14), (15), (17), (28), (30), (40),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (48), (51), (56), (61), (70), (79),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (80), (93), (104), (105), (106), (124), (127),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (135), (149), (156), (158), (172), (173),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (201), (206), (233), (237), (240),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (251), (252), (259), (269), (271),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310), (312), (321), (333), (334), (335), (337),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (374), (381), (399), (408), (451), (459),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (469), (504), (527), (588), (611), (668),
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669), (673), (677), (685), (688), (701) are
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (702) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46)) | (all_8_59 = e1 & all_8_63
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & op(e1, e1) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_59 = e0 & all_8_64 = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_47 & op(e0, e0) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47)) | (all_8_61 = e1 & all_8_63 = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_50 = e2) & op(e2, e2) = e1 & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_50 & op(e1, e1) = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50)) | (all_8_61 = e1 & all_8_63 = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_54 = e1) & op(e2, e2) = e1 & op(e1,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_54 & op(e1, e1) = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54)) | (all_8_61 = e0 & all_8_64 = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_51 = e2) & op(e2, e2) = e0 & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_51 & op(e0, e0) = e2 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_56 = e0) & op(e4, e4) = e0 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_56)) |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = e0 & op(e0, e3) =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_58)) | (all_8_61 = e0 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_55 = e1) & op(e1, e1) = e0 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & $i(all_8_55)) |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e1) = e0 & op(e0, e1) =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_62))))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (702) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (703) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46)) | (all_8_59 = e1 & all_8_63
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & op(e1, e1) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_59 = e0 & all_8_64 = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3,
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_47 & op(e0, e0) = e3 &
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47))
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (703) gives:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (704) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (704) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (705) all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 = e2)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2 & op(e2, e3) = all_8_49 & op(e2,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e3 & $i(all_8_49)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (705) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (706) op(e2, e2) = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (13), (14), (15), (17), (28), (30), (40),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (44), (48), (51), (56), (61), (70), (79),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (80), (93), (104), (105), (106), (124), (127),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (135), (149), (156), (158), (172), (173),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (201), (206), (233), (237), (240),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (247), (248), (251), (252), (259), (269), (271),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310), (312), (321), (333), (334), (335), (337),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (374), (381), (399), (408), (451), (459),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (469), (504), (527), (588), (611), (668),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (669), (673), (677), (685), (688), (706) are
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #127.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (707) all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_46 = e3)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e1 & op(e3, e1) = all_8_46 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3 & $i(all_8_46)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (707) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (708) op(e1, e1) = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (105), (266), (708) are inconsistent by
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (709) (all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_53 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e1, e3) = all_8_53
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_8_53)) | (all_8_59 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e3 & ~ (all_8_47 = e3) & op(e3,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_8_47 & op(e0, e0)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_47))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (709) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (710) all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_53 = e1)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e1 & op(e1, e3) = all_8_53 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3 & $i(all_8_53)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (710) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (711) op(e1, e1) = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (105), (266), (711) are inconsistent by
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (712) all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_47 = e3)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0 & op(e3, e0) = all_8_47 & op(e0,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3 & $i(all_8_47)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (712) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (713) op(e0, e0) = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (714) all_6_6 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (335), (714) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #138.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (715) ~ (all_6_6 = e3)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (716) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (717) all_6_6 = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (685), (717) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #137.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (718) all_6_6 = e2 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (93), (104), (105), (106),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (149), (294), (335), (408), (450), (451),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (713), (718) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #125.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (719) (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e1 & op(e2, e1) = all_8_50
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e2) = all_8_54 & op(e1, e1)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_8_54)) | (all_8_61 = e0 & all_8_64
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_8_51 = e2) & op(e2, e2) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_8_51 & op(e0, e0) = e2 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_56 = e0) & op(e4, e4) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_56)) |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = e0 & op(e0, e3) =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_58)) | (all_8_61 = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_55 = e1) & op(e1, e1) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & $i(all_8_55)) |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e1) = e0 & op(e0, e1) =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_62))))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (719) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (720) (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e1 & op(e2, e1) = all_8_50
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e2) = all_8_54 & op(e1, e1)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_8_54))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (720) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (721) all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 = e2)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_8_50 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_8_50)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (721) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (722) op(e2, e2) = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (105), (669), (722) are inconsistent by
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (723) all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_54 = e1)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e1, e2) = all_8_54 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_8_54)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (723) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (724) op(e2, e2) = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (105), (669), (724) are inconsistent by
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (725) (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_51 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e0 & op(e2, e0) = all_8_51
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_8_51)) | (op(e0, e0)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_64 & $i(all_8_64) & ((all_8_57 = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e4 & ~ (all_8_56 = e0) & op(e4,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e0 & op(e0, e4) = all_8_56 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_58 = e0) & op(e3, e3) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_58)) |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e2) = e0 & op(e0, e2) =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_60)) | (all_8_63 = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e1 & ~ (all_8_55 = e1) & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_8_55 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)) | (all_8_63 = e0 & all_8_64 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_62 = e0) & op(e1, e1) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_62))))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (725) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (726) all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_51 = e2)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0 & op(e2, e0) = all_8_51 & op(e0,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_8_51)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (726) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (727) op(e2, e2) = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (728) all_6_6 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (335), (728) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #138.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (729) ~ (all_6_6 = e3)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (730) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (730) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (731) all_6_6 = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (685), (731) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #137.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (732) all_6_6 = e2 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (79),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (104), (105), (124), (149), (158), (189),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (251), (271),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310), (329), (335), (354), (408), (450), (451),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459), (611), (660), (669), (677), (727), (732)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #123.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (733) op(e0, e0) = all_8_64 & $i(all_8_64) & ((all_8_57
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_8_64 = e4 & ~ (all_8_56 = e0) &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_58)) |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e2) = e0 & op(e0, e2) =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_60)) | (all_8_63 = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e1 & ~ (all_8_55 = e1) & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_8_55 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_62 = e0) & op(e1, e1) = e0 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_62)))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (733) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (734) op(e0, e0) = all_8_64
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (735) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 & op(e0,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_58 & $i(all_8_58)) | (all_8_61 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_55 = e1) & op(e1, e1) = e0 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_55 & $i(all_8_55)) | (all_8_63 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e1 & ~ (all_8_62 = e0) & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e1) = all_8_62 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (688) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (736) all_6_6 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (335), (736) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #138.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (737) ~ (all_6_6 = e3)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (738) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (738) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (739) all_6_6 = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (685), (739) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #137.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (740) all_6_6 = e2 | all_6_6 = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (741) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 & op(e0,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_58 & $i(all_8_58))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (742) all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 = e0)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (742) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (743) op(e4, e4) = e0
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (743) are inconsistent by
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58 = e0)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0 & op(e0, e3) = all_8_58 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (744) implies:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_8_64 = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (734), (745) imply:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (746) op(e0, e0) = e3
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (93), (104), (105), (106),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (149), (294), (335), (408), (450), (451),
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (740), (746) are inconsistent by sub-proof
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #125.
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (747) (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e2) = e0 & op(e0, e2) = all_8_60
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_55 = e1) & op(e1, e1) = e0 & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_55 & $i(all_8_55)) | (all_8_63 =
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e1 & ~ (all_8_62 = e0) & op(e1,
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e1) = all_8_62 &
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 = e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0 & op(e0, e2) = all_8_60 &
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (748) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (749) op(e2, e2) = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (79),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (104), (105), (124), (149), (158), (189),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (251), (271),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (310), (329), (335), (354), (408), (450), (451),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (459), (611), (660), (669), (677), (740), (749)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #123.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (750) (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_55 =
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = e0 & op(e1, e0) = all_8_55
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_62 = e0) & op(e1, e1) = e0 & op(e0,
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_62 & $i(all_8_62))
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (750) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_55 = e1)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0 & op(e1, e0) = all_8_55 &
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (751) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_8_64 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (43), (51), (57), (61),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (80), (93), (101), (105), (106), (124),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (158), (173), (189), (193), (201), (206),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (251), (252), (258), (294), (329), (354),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399), (408), (417), (428), (450), (451), (463),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (527), (612), (620), (629), (631), (660),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677), (734), (752) are inconsistent by sub-proof
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #118.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62 = e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0 & op(e0, e1) = all_8_62 &
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (753) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_8_64 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (43), (51), (57), (61),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (80), (93), (101), (105), (106), (124),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (158), (173), (189), (193), (201), (206),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (251), (252), (258), (294), (329), (354),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (399), (408), (417), (428), (450), (451), (463),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (527), (612), (620), (629), (631), (660),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (677), (734), (754) are inconsistent by sub-proof
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #118.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_6_7 = e2 | all_6_7 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (31), (199), (506), (755) are inconsistent by
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #135.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0, e2)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_9_8 = e1 & op(e2, e2) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (757) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) op(e2, e2) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (105), (669), (758) are inconsistent by
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e1)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_9_14 = e1 & op(e1, e2) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (631), (760) are inconsistent by sub-proof #122.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_9_22 = e1 & op(e0, e2) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (417), (428),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (761) are inconsistent by sub-proof
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #180.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) (all_9_13 = e1 & op(e1, e3) = e1) | (all_9_21 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e1)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (762) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_9_13 = e1 & op(e1, e3) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (623), (763) are inconsistent by sub-proof #117.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) all_9_21 = e1 & op(e0, e3) = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (764) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_9_21 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (765) imply:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) e3 = e1
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (408), (417), (450), (451),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (463), (766) are inconsistent by sub-proof #143.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_22 = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e4)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (767) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_9_14 = e4 & op(e1, e2) = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (577), (768) are inconsistent by sub-proof
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_9_22 = e4 & op(e0, e2) = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (769) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_9_22 = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (770) imply:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) e4 = e2
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (771) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) e4 = e2
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (28), (43), (51), (61),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (101), (105), (106), (124), (128),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (135), (158), (189), (193), (206), (237), (251),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (258), (259), (269), (312), (329), (354),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (374), (408), (417), (450), (451), (463), (469),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (618), (653), (654), (772) are inconsistent by
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) all_9_17 = e4 & op(e3, e0) = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (773) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_9_17 = e4
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (774) imply:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) e4 = e3
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (775) imply:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) $false
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (776) is inconsistent.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e0) | (all_9_17 = e0 & op(e3, e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_9_5 = e0 & op(e3, e2) = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (778) implies:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_9_5 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (43), (51), (57), (61),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (101), (105), (124), (158), (173),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (251), (252), (258),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (354), (399), (417), (428), (450), (451),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (612), (620), (631), (648), (779) are
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) (all_9_10 = e0 & op(e3, e1) = e0) | (all_9_17 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (780) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_9_10 = e0 & op(e3, e1) = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (13), (14), (15), (30), (31), (43), (44),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (48), (51), (56), (61), (70), (79), (93), (101),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (104), (105), (106), (124), (128), (140), (149),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (178), (189), (193), (194), (199), (206),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (212), (215), (221), (233), (237), (240), (248),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (271), (310), (329), (335), (337),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (347), (354), (408), (417), (447), (448), (450),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (459), (463), (506), (605), (611), (619),
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (624), (642), (781) are inconsistent by sub-proof
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #133.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_9_17 = e0 & op(e3, e0) = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (634), (782) are inconsistent by sub-proof #115.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (417), (527), (629), (783) are inconsistent by
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #120.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) ~ (all_6_8 = e4)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (784) imply:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) ~ (all_4_16 = e4)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 &
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (611), (628), (787) are inconsistent
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #131.
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4) | (all_9_17 = e4 & op(e3, e0)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (788) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_9_5 = e4 & op(e3, e2) = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (789) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) all_9_5 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) op(e3, e2) = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (785) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_6_8 = e3
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (792) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_4_16 = e3
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (793) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_4_16 = e3
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (448), (794) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) $false
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (795) is inconsistent.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) ~ (all_6_8 = e3)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (797) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_6_8 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (798) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (799) all_4_16 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (799) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (800) all_4_16 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (800) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801) $false
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (801) is inconsistent.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (802) ~ (all_6_8 = e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (803) all_6_8 = e2 | all_6_8 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (804) all_6_8 = e2
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (804) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (805) all_4_16 = e2
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (805) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (806) all_4_16 = e2
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (806) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807) $false
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (807) is inconsistent.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (808) all_6_8 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (9), (808) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809) all_4_16 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (809) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (810) all_4_16 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (810) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (811) ~ (all_4_6 = e0)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (812) all_6_6 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (611), (812) are inconsistent by sub-proof
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (813) ~ (all_6_6 = e4)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (814) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (815) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e0)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (815) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (816) all_9_9 = e0 & op(e4, e1) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (80), (93), (105), (106), (128),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (408), (450), (451), (463), (816) are
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #164.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (817) all_9_10 = e0 & op(e3, e1) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (817) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (818) all_9_10 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (819) op(e3, e1) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (820) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (820) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (821) all_9_4 = e1 & op(e4, e2) = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (821) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (822) all_9_4 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (512), (822) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) e1 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (14), (15), (16), (43), (51), (61),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (100), (101), (105), (106), (124),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (158), (167), (169), (189), (193), (200),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (237), (251), (252), (258), (329), (354),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (417), (450), (451), (478), (527), (818),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (823) are inconsistent by sub-proof #113.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (824) all_9_5 = e1 & op(e3, e2) = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (824) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) all_9_5 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (30), (43), (44), (48), (51),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (56), (70), (79), (105), (124), (158), (189),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (248), (251),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (271), (310), (337), (347), (354), (408),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (450), (451), (459), (605), (619), (818),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (825) are inconsistent by sub-proof #159.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (826) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0, e2)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827) all_9_8 = e1 & op(e2, e2) = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (827) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (828) all_9_8 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (829) (all_9_6 = e0 & op(e2, e4) = e0) | (all_9_7 = e0 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e0)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (829) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (830) all_9_6 = e0 & op(e2, e4) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (830) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (831) all_9_6 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (93), (105), (106), (128),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (408), (450), (451), (831) are inconsistent
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #172.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (832) all_9_7 = e0 & op(e2, e3) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (832) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (833) op(e2, e3) = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (834) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (14), (15), (16), (43), (51), (57),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (70), (79), (80), (84), (93), (101), (104),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (120), (124), (128), (149), (158),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (177), (189), (193), (194), (201), (206),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (251), (252), (253), (258), (329), (335),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354), (399), (408), (417), (428), (448), (450),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (463), (483), (512), (527), (611), (612),
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620), (622), (629), (631), (634), (785), (834)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #107.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (835) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (835) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (836) all_9_11 = e4 & op(e2, e1) = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (836) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (837) all_9_11 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (838) op(e2, e1) = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (814) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (839) all_6_6 = e3
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (839) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (840) all_4_6 = e3
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (335), (840) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (841) $false
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (841) is inconsistent.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842) ~ (all_6_6 = e3)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (843) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (843) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (844) all_6_6 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (844) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (845) all_4_6 = e1
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (845) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (846) ~ (all_4_7 = e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (846) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (847) ~ (all_4_7 = e1)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (108) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (848) all_6_11 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (848) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (849) all_4_7 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (849) implies:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (850) all_4_7 = e4
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (612), (850) imply:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (851) $false
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (851) is inconsistent.
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (852) ~ (all_6_11 = e4)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (853) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (854) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)) | (all_8_11 = e3 & ~ (all_8_10 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_45 = all_8_49) & op(all_8_45,
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_10 & op(all_8_45, e2) = e3 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_10) & $i(all_8_45) & $i(all_8_49)) |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)) | (all_8_15 = e3 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_14 = e0) & ~ (all_8_47 = all_8_58) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e3) = all_8_14 & op(all_8_47, e0) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_14) & $i(all_8_47) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_17 = e2 & ~ (all_8_16 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_41 = all_8_48) & op(all_8_48,
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e2 & op(all_8_48, e2) = all_8_16 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_16) & $i(all_8_41) & $i(all_8_48)) |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18)
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_45) & $i(all_8_49))
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (854) gives:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (855) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 103.67/14.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (855) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (856) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (856) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (857) all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_44)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (857) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (858) ~ (all_8_40 = all_8_44)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (859) op(e3, e4) = all_8_44
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (860) op(e4, e3) = all_8_40
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (105), (607), (858), (859), (860) are
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (861) all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48) & op(all_8_41, e4) = all_8_2 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e2) = e4 & op(e4, e2) = all_8_41 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_8_48 & $i(all_8_2) & $i(all_8_41)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_48)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (861) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (862) op(e4, e2) = all_8_41
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (863) op(all_8_41, e2) = e4
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (853) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (864) all_6_11 = e3
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (336), (864) are inconsistent by sub-proof
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (865) all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (866) all_6_11 = e1
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (847), (866) are inconsistent by sub-proof
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_41, e2, e4,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (513), (862) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (867) all_8_41 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e2, e4, e2, e0,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (289) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (868) e4 = e2 | ~ (op(e0, e2) = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (867) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (869) op(e0, e2) = e4
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (868) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (870) ~ (op(e0, e2) = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (869), (870) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (871) $false
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (871) is inconsistent.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (872) e4 = e2
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (872) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (873) $false
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (873) is inconsistent.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (874) (all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)) | (all_8_7 = e4 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_6 = e0) & ~ (all_8_43 = all_8_56) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e4) = all_8_6 & op(all_8_43, e0) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_6) & $i(all_8_43) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_9 = e3 & ~ (all_8_8 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_40 = all_8_44) & op(all_8_44,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(all_8_44, e3) = all_8_8 & op(e4,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_40 & op(e3, e4) = all_8_44 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_8) & $i(all_8_40) & $i(all_8_44))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (874) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (875) all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) & $i(all_8_42)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_52)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (875) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (876) ~ (all_8_42 = all_8_52)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (877) op(e1, e4) = all_8_52
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (878) op(e4, e1) = all_8_42
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (879) op(all_8_42, e1) = e4
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_52, e4, e1,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (877) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (880) all_8_52 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (627), (877) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (881) ~ (all_8_52 = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (633), (877) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (882) ~ (all_8_52 = e1)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_42, e1, e4,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (878) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_8_42 = e3
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (622), (878) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (884) ~ (all_8_42 = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (632), (878) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (885) ~ (all_8_42 = e1)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, e4, e1, e3,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (819) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (886) e4 = e0 | ~ (op(e3, e1) = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (883) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (887) op(e3, e1) = e4
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (886) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (888) ~ (op(e3, e1) = e4)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (887), (888) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (889) $false
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (889) is inconsistent.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (890) e4 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (837), (890) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (891) all_9_11 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (890) imply:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (892) all_9_5 = e0
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (43), (51), (57), (61),
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (101), (105), (124), (158), (173),
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (251), (252), (258),
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (329), (354), (399), (417), (428), (450), (451),
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (512), (612), (620), (631), (891), (892) are
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #121.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (893) (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (893) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (894) all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) & $i(all_8_43)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (894) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (895) ~ (all_8_43 = all_8_56)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) op(e0, e4) = all_8_56
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) op(e4, e0) = all_8_43
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (287), (290), (895), (896), (897) are
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_8_9 = e3 & ~ (all_8_8 = e4) & ~ (all_8_40 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_44, e4) = e3 & op(all_8_44,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_8 & op(e4, e3) = all_8_40 & op(e3,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (898) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) ~ (all_8_40 = all_8_44)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) op(e3, e4) = all_8_44
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) op(e4, e3) = all_8_40
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (105), (607), (899), (900), (901) are
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #106.
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_15 = e3 & ~ (all_8_14 =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_47 = all_8_58) & op(all_8_47,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_14 & op(all_8_47, e0) = e3 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_14) & $i(all_8_47) & $i(all_8_58)) |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (902) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53))
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (903) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (904) implies:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) ~ (all_8_10 = e2)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) op(e3, e2) = all_8_45
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) op(all_8_45, e3) = all_8_10
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, all_8_45, e2, e3,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (791), (906) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_8_45 = e4
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e2, all_8_10, e3, e4,
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (607) gives:
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_8_10 = e2 | ~ (op(e4, e3) = all_8_10)
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (907), (908) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) op(e4, e3) = all_8_10
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (909) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) ~ (op(e4, e3) = all_8_10)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (910), (911) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (912) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_8_10 = e2
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (913) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (914) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (915) implies:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) op(e1, e3) = all_8_53
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) op(e3, e1) = all_8_46
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) op(all_8_46, e1) = e3
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, all_8_53, e3, e1,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (619), (916) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_8_53 = e4
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (621), (916) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) ~ (all_8_53 = e3)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_46, e1, e3,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (819), (917) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_8_46 = e0
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (626), (917) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_8_46 = e3)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e1, e3, e1, e0,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (479) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) e3 = e1 | ~ (op(e0, e1) = e3)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (921) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) op(e0, e1) = e3
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) ~ (op(e0, e1) = e3)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (924), (925) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (926) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) e3 = e1
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (927) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_9_6 = e1
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (329), (354), (408), (417), (450), (451),
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) are inconsistent by sub-proof #185.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) (all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)) | (all_8_17 = e2 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e4) = e2 & op(all_8_48, e2) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_16) & $i(all_8_41) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_45 = all_8_49) & op(all_8_49,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(all_8_49, e2) = all_8_18 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_18) & $i(all_8_45) & $i(all_8_49))
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (930) implies:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) ~ (all_8_47 = all_8_58)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) op(e0, e3) = all_8_58
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) op(e3, e0) = all_8_47
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (288), (291), (931), (932), (933) are
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (934) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41) & $i(all_8_48)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (935) implies:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) ~ (all_8_16 = e4)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) op(e2, e4) = all_8_48
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) op(all_8_48, e2) = all_8_16
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_48, e4, e2,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (464), (937) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) all_8_48 = e3
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, all_8_16, e2, e3,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (791) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_8_16 = e4 | ~ (op(e3, e2) = all_8_16)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (939) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) op(e3, e2) = all_8_16
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) ~ (op(e3, e2) = all_8_16)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (941), (942) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (943) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_8_16 = e4
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (944) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (945) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18) &
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (946) implies:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) op(e2, e3) = all_8_49
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) op(all_8_49, e3) = e2
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_49, e3, e2,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (833), (947) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_8_49 = e0
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, e2, e3, e0,
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (288) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) e3 = e2 | ~ (op(e0, e3) = e2)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (948), (949) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) op(e0, e3) = e2
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (950) gives:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) ~ (op(e0, e3) = e2)
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (951), (952) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (953) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) e3 = e2
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (450), (954) imply:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) $false
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (955) is inconsistent.
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54)) | (all_8_31 = e1 & ~ (all_8_30 =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_55 = all_8_62) & op(all_8_55,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_30 & op(all_8_55, e0) = e1 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_43) & $i(all_8_56)) | (all_8_35 = e0
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_34 = e3) & ~ (all_8_47 = all_8_58)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_58, e3) = e0 & op(all_8_58, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_34 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_34) & $i(all_8_47) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_37 = e0 & ~ (all_8_36 =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_51 = all_8_60) & op(all_8_60,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(all_8_60, e0) = all_8_36 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_8_51 & op(e0, e2) = all_8_60 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_36) & $i(all_8_51) & $i(all_8_60)) |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_55) & $i(all_8_62))
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (956) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (957) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60))
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (958) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (959) implies:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) op(e1, e2) = all_8_54
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) op(e2, e1) = all_8_50
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) op(all_8_50, e1) = e2
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (853) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_6_11 = e3
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (336), (963) are inconsistent by sub-proof
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_54, e2, e1,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (578), (960) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_8_54 = e3
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (625), (960) imply:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) ~ (all_8_54 = e2)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, all_8_50, e1, e2,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (838), (961) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_8_50 = e4
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, e2, e1, e4,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (82) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) e3 = e2 | ~ (op(e4, e1) = e2)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (962), (966) imply:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) op(e4, e1) = e2
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (967) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) ~ (op(e4, e1) = e2)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (968), (969) imply:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) $false
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (970) is inconsistent.
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) e3 = e2
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (450), (971) imply:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent.
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_8_23 = e2 & ~ (all_8_22 = e0) & ~ (all_8_51
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_51, e2) = all_8_22 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e0) = e2 & op(e2, e0) = all_8_51 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_8_60 & $i(all_8_22) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (973) implies:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) ~ (all_8_51 = all_8_60)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) op(e0, e2) = all_8_60
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) op(e2, e0) = all_8_51
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (289), (292), (974), (975), (976) are
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) (all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_42) & $i(all_8_52)) | (all_8_27 = e1
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_26 = e3) & ~ (all_8_46 = all_8_53)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_53, e3) = e1 & op(all_8_53, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_26 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_26) & $i(all_8_46) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_29 = e1 & ~ (all_8_28 =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_50 = all_8_54) & op(all_8_54,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(all_8_54, e1) = all_8_28 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_28) & $i(all_8_50) & $i(all_8_54))
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (977) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24) &
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (978) implies:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) ~ (all_8_42 = all_8_52)
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) op(e1, e4) = all_8_52
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) op(e4, e1) = all_8_42
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) op(all_8_52, e4) = e1
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_52, e4, e1,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (97), (980) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_8_52 = e0
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_42, e1, e4,
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (82), (981) gives:
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_8_42 = e3
% 103.67/14.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (632), (981) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) ~ (all_8_42 = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, e1, e4, e0,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (287) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) e4 = e1 | ~ (op(e0, e4) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (982), (983) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) op(e0, e4) = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (986) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) ~ (op(e0, e4) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (987), (988) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) $false
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (989) is inconsistent.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) e4 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (990) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_9_5 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (30), (43), (44), (48), (51),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (56), (70), (79), (105), (124), (158), (189),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (248), (251),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (271), (310), (337), (347), (354), (408),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (450), (451), (459), (605), (619), (818),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) are inconsistent by sub-proof #159.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26) &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (993) implies:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) ~ (all_8_46 = all_8_53)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) op(e1, e3) = all_8_53
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) op(e3, e1) = all_8_46
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) op(all_8_53, e3) = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, all_8_53, e3, e1,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (619), (995) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_8_53 = e4
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (621), (995) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) ~ (all_8_53 = e3)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (623), (995) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) ~ (all_8_53 = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_46, e1, e3,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (819), (996) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_8_46 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (626), (996) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) ~ (all_8_46 = e3)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e2, e1, e3, e4,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (607) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) e2 = e1 | ~ (op(e4, e3) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (997), (998) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) op(e4, e3) = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1003) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) ~ (op(e4, e3) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1004), (1005) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) $false
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1006) is inconsistent.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) e2 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1007) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) all_9_2 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (329), (354), (417), (450), (451),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) are inconsistent by sub-proof #181.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_8_29 = e1 & ~ (all_8_28 = e2) & ~ (all_8_50
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_54, e2) = e1 &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_54, e1) = all_8_28 & op(e2, e1) =
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50 & op(e1, e2) = all_8_54 & $i(all_8_28) &
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1009) implies:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) op(e1, e2) = all_8_54
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) op(all_8_54, e2) = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (853) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_6_11 = e3
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (336), (1012) are inconsistent by sub-proof
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #105.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) ~ (all_6_11 = e3)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1014) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_6_11 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (261), (847), (1015) are inconsistent by sub-proof
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #104.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_6_11 = e2 | all_6_11 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1016) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_6_11 = e2
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1017) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_4_7 = e2
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1018) implies:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_4_7 = e2
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (300), (1019) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) $false
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1020) is inconsistent.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_6_11 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1021) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_4_7 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1022) implies:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_4_7 = e0
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_54, e2, e1,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (578), (1010) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_8_54 = e3
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (625), (1010) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) ~ (all_8_54 = e2)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (631), (1010) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) ~ (all_8_54 = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e4, e1, e2, e3,
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (791) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) e4 = e1 | ~ (op(e3, e2) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1011), (1024) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) op(e3, e2) = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1027) gives:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) ~ (op(e3, e2) = e1)
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1028), (1029) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) $false
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1030) is inconsistent.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) e4 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1031) imply:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_9_5 = e1
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (30), (43), (44), (48), (51),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (56), (70), (79), (105), (124), (158), (189),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (248), (251),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (271), (310), (337), (347), (354), (408),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (450), (451), (459), (605), (619), (818),
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) are inconsistent by sub-proof #159.
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_35 = e0 & ~ (all_8_34 =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_47 = all_8_58) & op(all_8_58,
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(all_8_58, e0) = all_8_34 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_34) & $i(all_8_47) & $i(all_8_58)) |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1033) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56))
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1035) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) ~ (all_8_55 = all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) op(e0, e1) = all_8_62
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) op(e1, e0) = all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (293), (479), (1036), (1037), (1038) are
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1039) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) ~ (all_8_43 = all_8_56)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) op(e0, e4) = all_8_56
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) op(e4, e0) = all_8_43
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (287), (290), (1040), (1041), (1042) are
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) (all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_47) & $i(all_8_58)) | (all_8_37 = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_36 = e2) & ~ (all_8_51 = all_8_60)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_60, e2) = e0 & op(all_8_60, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_36) & $i(all_8_51) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_39 = e0 & ~ (all_8_38 =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_55 = all_8_62) & op(all_8_62,
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(all_8_62, e0) = all_8_38 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_38) & $i(all_8_55) & $i(all_8_62))
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1043) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1044) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) ~ (all_8_47 = all_8_58)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) op(e0, e3) = all_8_58
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) op(e3, e0) = all_8_47
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (288), (291), (1045), (1046), (1047) are
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #102.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1048) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1049) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) ~ (all_8_51 = all_8_60)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) op(e0, e2) = all_8_60
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) op(e2, e0) = all_8_51
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (289), (292), (1050), (1051), (1052) are
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38) &
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1053) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) ~ (all_8_55 = all_8_62)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) op(e0, e1) = all_8_62
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) op(e1, e0) = all_8_55
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (293), (479), (1054), (1055), (1056) are
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_6_6 = e2 | all_6_6 = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (104), (149), (811), (1057) are inconsistent by
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_9_15 = e4 & op(e1, e1) = e4
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1059) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_9_15 = e4
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (1060) imply:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) e4 = e2
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (329), (1061) imply:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) $false
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1062) is inconsistent.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_9_23 = e4 & op(e0, e1) = e4
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1063) implies:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_9_23 = e4
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1064) imply:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) e4 = e1
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (790), (1065) imply:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_9_5 = e1
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (30), (43), (44), (48), (51),
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (56), (70), (79), (105), (124), (158), (189),
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (233), (237), (240), (248), (251),
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (271), (310), (337), (347), (354), (408),
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (417), (450), (451), (459), (605), (619), (818),
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) are inconsistent by sub-proof #159.
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) (all_9_8 = e0 & op(e2, e2) = e0) | (all_9_11 = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e0) | (all_9_18 = e0 & op(e2, e0)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1067) gives:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_9_8 = e0 & op(e2, e2) = e0
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1068) implies:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_9_8 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (828), (1069) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) e1 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (13), (14), (15), (16), (43), (51), (61),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (70), (93), (100), (101), (105), (106), (124),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (158), (167), (169), (189), (193), (200),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (237), (251), (252), (258), (329), (354),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (408), (417), (450), (451), (478), (527), (818),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) are inconsistent by sub-proof #113.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_18 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e0)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1071) gives:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_9_11 = e0 & op(e2, e1) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (14), (15), (16), (43), (51), (57),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (70), (79), (80), (84), (93), (101), (104),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (120), (124), (128), (149), (158),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (177), (189), (193), (194), (200), (201),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (251), (252), (253), (258), (329),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335), (354), (399), (408), (417), (428), (448),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (463), (478), (483), (512), (527),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611), (612), (620), (622), (629), (631), (634),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785), (790), (1072) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_9_18 = e0 & op(e2, e0) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1073) implies:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) op(e2, e0) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (273), (1074) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) $false
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1075) is inconsistent.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e1)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_9_14 = e1 & op(e1, e2) = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (631), (1077) are inconsistent by sub-proof #122.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) all_9_22 = e1 & op(e0, e2) = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (329), (354), (417), (428),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (1078) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #144.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_9_11 = e0 & op(e2, e1) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (14), (15), (16), (43), (51), (57),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (70), (79), (80), (84), (93), (101), (104),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (120), (124), (128), (149), (158),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (177), (189), (193), (194), (200), (201),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (251), (252), (253), (258), (329),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (335), (354), (399), (408), (417), (428), (448),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (450), (451), (463), (478), (483), (512), (527),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (611), (612), (620), (622), (629), (631), (634),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785), (790), (1080) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (417), (527), (629), (1081) are inconsistent by
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #120.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) (all_9_10 = e4 & op(e3, e1) = e4) | (all_9_17 = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e4)
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_9_10 = e4 & op(e3, e1) = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1083) implies:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_9_10 = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (13), (14), (15), (16), (43), (51), (57),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (61), (70), (79), (80), (84), (93), (101), (104),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (120), (124), (128), (149), (158),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (173), (177), (189), (193), (194), (201), (206),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (251), (252), (253), (258), (329), (335),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (354), (399), (408), (417), (428), (448), (450),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (463), (483), (512), (527), (611), (612),
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (620), (629), (631), (634), (785), (1084) are
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #108.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_9_17 = e4 & op(e3, e0) = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1085) implies:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_9_17 = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (459), (1086) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) e4 = e3
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1087) implies:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) e4 = e3
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1088) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) $false
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1089) is inconsistent.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) op(e3, e0) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (382), (1090) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #97.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_4_3 = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (241), (1091) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) e1 = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1092) imply:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) $false
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1093) is inconsistent.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) op(e4, e1) = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (451), (1094) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) op(e1, e2) = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (27), (88), (348), (1095) are inconsistent by
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) op(e4, e2) = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (92), (322), (1096) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #178.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) op(e0, e1) = e0
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (156), (381), (1097) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #154.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) op(e3, e4) = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (189), (251), (329), (1098) are inconsistent by
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #220.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) op(e1, e4) = e4
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (124), (1099) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) op(e3, e1) = e3
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (448), (1100) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #199.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) op(e1, e2) = e2
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (413), (1101) are inconsistent by sub-proof
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) op(e3, e1) = e1
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (231), (483), (1102) are inconsistent by
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) op(e1, e3) = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (347), (1103) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #95.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) op(e4, e1) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (167), (169), (1104) are inconsistent by
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) op(e1, e3) = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (210), (337), (1105) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) op(e2, e4) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (233), (310), (1106) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #205.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_9_21 = e4 & op(e0, e3) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1107) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) op(e0, e3) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (259), (312), (1108) are inconsistent by
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) ~ (all_6_16 = e4)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1109) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (all_4_8 = e4)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1111) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_9_12 = e4 & op(e1, e4) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1112) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) op(e1, e4) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (124), (1113) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_9_13 = e4 & op(e1, e3) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) op(e1, e3) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (105), (1110), (1115) are inconsistent by
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_9_14 = e4 & op(e1, e2) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1117) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_9_14 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1118) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) e4 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1119) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) e4 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (1120) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_9_20 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (101), (124), (189), (206), (233), (251),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (310), (329), (1121) are inconsistent by
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e4)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_9_15 = e4 & op(e1, e1) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1123) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_9_15 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (527), (1124) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) e4 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1125) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) e4 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1126) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_9_16 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (22), (43), (51), (61), (70), (92),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (101), (105), (106), (124), (128), (167),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (189), (206), (251), (258), (269), (271),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322), (329), (408), (450), (451), (1127) are
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_9_19 = e4 & op(e1, e0) = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1128) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_9_19 = e4
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (599), (1129) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) e4 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1130) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) e4 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (1131) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_9_20 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (251), (258), (329), (354), (417), (450),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (451), (1132) are inconsistent by sub-proof #188.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_6_1 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1133) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) all_4_5 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (504), (1134) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) $false
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1135) is inconsistent.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_9_24 = e1 & op(e0, e0) = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1136) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_9_24 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (1137) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) e1 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1138) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) e1 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1139) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) $false
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1140) is inconsistent.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_9_22 = e3 & op(e0, e2) = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1141) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) op(e0, e2) = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with all_4_14, e3, e2, e0,
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (150), (1142) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) all_4_14 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (339), (1143) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) $false
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_9_23 = e2 & op(e0, e1) = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1145) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_9_23 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1146) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) e2 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1147) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) e2 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1148) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) all_9_2 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (329), (354), (417), (450), (451),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) are inconsistent by sub-proof #181.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_16 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e0)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (70), (80), (93), (101), (105), (106),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (258), (408), (450), (451), (463), (498),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) are inconsistent by sub-proof #170.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) ((all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 =
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e0) = e0) | (all_9_18 = e0 &
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e0) | (all_9_19 = e0 & op(e1, e0)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)) & ((all_9_20 = e0 & op(e0, e4) = e0) |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_9_21 = e0 & op(e0, e3) = e0) | (all_9_22 =
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_9_23 = e0 &
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0))
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (54), (70), (93), (105), (106), (127),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (156), (162), (258), (264), (333),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (381), (408), (450), (451), (463), (1151)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_9_24 = e1 & op(e0, e0) = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1152) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_9_24 = e1
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_9_24 = e0 & op(e0, e0) = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1154) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_9_24 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1153), (1155) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) e1 = e0
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1156) imply:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) $false
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1157) is inconsistent.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) ((all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 =
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e3, e0) = e0) | (all_9_18 = e0 &
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = e0) | (all_9_19 = e0 & op(e1, e0)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)) & ((all_9_20 = e0 & op(e0, e4) = e0) |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_9_21 = e0 & op(e0, e3) = e0) | (all_9_22 =
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & op(e0, e2) = e0) | (all_9_23 = e0 &
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = e0))
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (43), (54), (70), (93), (105), (106), (127),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (128), (136), (156), (162), (258), (264), (333),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (380), (381), (408), (450), (451), (463), (1158)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 &
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e2) | (all_9_16 = e2 & op(e4, e0) =
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) all_9_4 = e2 & op(e4, e2) = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (236), (412), (1160) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #204.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_16 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e2)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_9_9 = e2 & op(e4, e1) = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (450), (1162) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #174.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) all_9_16 = e2 & op(e4, e0) = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1163) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_9_16 = e2
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (15), (22), (43), (51), (61), (70), (92),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (101), (105), (106), (124), (128), (167),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (169), (189), (206), (251), (258), (269), (271),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (322), (329), (408), (450), (451), (1164) are
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #94.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e3)
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1165) gives:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_9_12 = e3 & op(e1, e4) = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (258), (1166) are inconsistent by sub-proof
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) all_9_20 = e3 & op(e0, e4) = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1167) implies:
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) all_9_20 = e3
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (101), (124), (189), (206), (233), (251),
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (271), (310), (329), (1168) are inconsistent by
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #165.
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | | |
% 103.67/14.78 | | | | | | | | | End of split
% 103.67/14.78 | | | | | | | | |
% 103.67/14.78 | | | | | | | | End of split
% 103.67/14.78 | | | | | | | |
% 103.67/14.78 | | | | | | | End of split
% 103.67/14.78 | | | | | | |
% 103.67/14.78 | | | | | | End of split
% 103.67/14.78 | | | | | |
% 103.67/14.78 | | | | | End of split
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | Case 2:
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | (1169) all_6_14 = e0
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | COMBINE_EQS: (257), (1169) imply:
% 103.67/14.78 | | | | | (1170) all_4_22 = e0
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | SIMP: (1170) implies:
% 103.67/14.78 | | | | | (1171) all_4_22 = e0
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | REDUCE: (64), (1171) imply:
% 103.67/14.78 | | | | | (1172) ~ (all_4_2 = e0)
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | REDUCE: (188), (1171) imply:
% 103.67/14.78 | | | | | (1173) ~ (all_4_20 = e0)
% 103.67/14.78 | | | | |
% 103.67/14.78 | | | | | REDUCE: (74), (1171) imply:
% 103.67/14.79 | | | | | (1174) ~ (all_4_21 = e0)
% 103.67/14.79 | | | | |
% 103.67/14.79 | | | | | REDUCE: (53), (1171) imply:
% 103.67/14.79 | | | | | (1175) ~ (all_4_24 = e0)
% 103.67/14.79 | | | | |
% 103.67/14.79 | | | | | SIMP: (1175) implies:
% 103.67/14.79 | | | | | (1176) ~ (all_4_24 = e0)
% 103.67/14.79 | | | | |
% 103.67/14.79 | | | | | BETA: splitting (186) gives:
% 103.67/14.79 | | | | |
% 103.67/14.79 | | | | | Case 1:
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | (1177) all_9_24 = e0 & op(e0, e0) = e0
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | ALPHA: (1177) implies:
% 103.67/14.79 | | | | | | (1178) op(e0, e0) = e0
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | REF_CLOSE: (20), (67), (1176), (1178) are inconsistent by sub-proof
% 103.67/14.79 | | | | | | #90.
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | Case 2:
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | (1179) ((all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 = e0 &
% 103.67/14.79 | | | | | | op(e3, e0) = e0) | (all_9_18 = e0 & op(e2, e0) = e0) |
% 103.67/14.79 | | | | | | (all_9_19 = e0 & op(e1, e0) = e0)) & ((all_9_20 = e0 &
% 103.67/14.79 | | | | | | op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) = e0) |
% 103.67/14.79 | | | | | | (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 &
% 103.67/14.79 | | | | | | op(e0, e1) = e0))
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | ALPHA: (1179) implies:
% 103.67/14.79 | | | | | | (1180) (all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 = e0 &
% 103.67/14.79 | | | | | | op(e3, e0) = e0) | (all_9_18 = e0 & op(e2, e0) = e0) |
% 103.67/14.79 | | | | | | (all_9_19 = e0 & op(e1, e0) = e0)
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | BETA: splitting (1180) gives:
% 103.67/14.79 | | | | | |
% 103.67/14.79 | | | | | | Case 1:
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | (1181) (all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 = e0 &
% 103.67/14.79 | | | | | | | op(e3, e0) = e0)
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | BETA: splitting (1181) gives:
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | (1182) all_9_16 = e0 & op(e4, e0) = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | ALPHA: (1182) implies:
% 103.67/14.79 | | | | | | | | (1183) op(e4, e0) = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | REF_CLOSE: (24), (160), (1173), (1183) are inconsistent by
% 103.67/14.79 | | | | | | | | sub-proof #88.
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | Case 2:
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | (1184) all_9_17 = e0 & op(e3, e0) = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | ALPHA: (1184) implies:
% 103.67/14.79 | | | | | | | | (1185) op(e3, e0) = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | REF_CLOSE: (68), (1174), (1185) are inconsistent by sub-proof
% 103.67/14.79 | | | | | | | | #97.
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | End of split
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | Case 2:
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | (1186) (all_9_18 = e0 & op(e2, e0) = e0) | (all_9_19 = e0 &
% 103.67/14.79 | | | | | | | op(e1, e0) = e0)
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | BETA: splitting (1186) gives:
% 103.67/14.79 | | | | | | |
% 103.67/14.79 | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | (1187) all_9_18 = e0 & op(e2, e0) = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | ALPHA: (1187) implies:
% 103.67/14.79 | | | | | | | | (1188) all_9_18 = e0
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | BETA: splitting (245) gives:
% 103.67/14.79 | | | | | | | |
% 103.67/14.79 | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | |
% 103.67/14.79 | | | | | | | | | (1189) ~ (op(e4, e0) = e0)
% 103.67/14.79 | | | | | | | | |
% 103.67/14.79 | | | | | | | | | BETA: splitting (255) gives:
% 103.67/14.79 | | | | | | | | |
% 103.67/14.79 | | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | (1190) ~ (op(e4, e0) = e4)
% 103.67/14.79 | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | PRED_UNIFY: (113), (1190) imply:
% 103.67/14.79 | | | | | | | | | | (1191) ~ (all_4_20 = e4)
% 103.67/14.79 | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | BETA: splitting (22) gives:
% 103.67/14.79 | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | (1192) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 &
% 103.67/14.79 | | | | | | | | | | | op(e4, e3) = e4)
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | BETA: splitting (1192) gives:
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | (1193) all_9_0 = e4 & op(e4, e4) = e4
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | REF_CLOSE: (271), (1193) are inconsistent by sub-proof #207.
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | Case 2:
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | (1194) all_9_1 = e4 & op(e4, e3) = e4
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | REF_CLOSE: (269), (1194) are inconsistent by sub-proof #179.
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | End of split
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | Case 2:
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | (1195) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 &
% 103.67/14.79 | | | | | | | | | | | op(e4, e1) = e4) | (all_9_16 = e4 & op(e4, e0) =
% 103.67/14.79 | | | | | | | | | | | e4)
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | BETA: splitting (1195) gives:
% 103.67/14.79 | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | (1196) all_9_4 = e4 & op(e4, e2) = e4
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | ALPHA: (1196) implies:
% 103.67/14.79 | | | | | | | | | | | | (1197) all_9_4 = e4
% 103.67/14.79 | | | | | | | | | | | | (1198) op(e4, e2) = e4
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | BETA: splitting (92) gives:
% 103.67/14.79 | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | Case 1:
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | (1199) ~ (op(e4, e2) = e4)
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | PRED_UNIFY: (1198), (1199) imply:
% 103.67/14.79 | | | | | | | | | | | | | (1200) $false
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | CLOSE: (1200) is inconsistent.
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | Case 2:
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | (1201) all_4_10 = e4
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | REDUCE: (203), (1201) imply:
% 103.67/14.79 | | | | | | | | | | | | | (1202) ~ (all_4_5 = e4)
% 103.67/14.79 | | | | | | | | | | | | |
% 103.67/14.79 | | | | | | | | | | | | | REDUCE: (95), (1201) imply:
% 104.38/14.79 | | | | | | | | | | | | | (1203) ~ (all_4_14 = e4)
% 104.38/14.79 | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | SIMP: (1203) implies:
% 104.38/14.79 | | | | | | | | | | | | | (1204) ~ (all_4_14 = e4)
% 104.38/14.79 | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | REDUCE: (59), (1201) imply:
% 104.38/14.79 | | | | | | | | | | | | | (1205) ~ (all_4_20 = e4)
% 104.38/14.79 | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | BETA: splitting (147) gives:
% 104.38/14.79 | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | (1206) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 &
% 104.38/14.79 | | | | | | | | | | | | | | op(e4, e3) = e0)
% 104.38/14.79 | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | BETA: splitting (1206) gives:
% 104.38/14.79 | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | (1207) all_9_0 = e0 & op(e4, e4) = e0
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | ALPHA: (1207) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | (1208) all_9_0 = e0
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | COMBINE_EQS: (117), (1208) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | (1209) e1 = e0
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | REDUCE: (16), (1209) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | (1210) $false
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | CLOSE: (1210) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | (1211) all_9_1 = e0 & op(e4, e3) = e0
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | ALPHA: (1211) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | (1212) all_9_1 = e0
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 104.38/14.79 | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | (1213) unit = e4
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | REDUCE: (272), (1213) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | (1214) $false
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | CLOSE: (1214) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | (1215) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | (1216) all_6_4 = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1191), (1216) are inconsistent by
% 104.38/14.79 | | | | | | | | | | | | | | | | | sub-proof #87.
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | (1217) ~ (all_6_4 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | (1218) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 |
% 104.38/14.79 | | | | | | | | | | | | | | | | | all_6_4 = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | (1219) all_6_4 = e3
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (160), (1219) are inconsistent by sub-proof
% 104.38/14.79 | | | | | | | | | | | | | | | | | | #86.
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | (1220) all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | BETA: splitting (1220) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | (1221) all_6_4 = e1
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (224), (1221) are inconsistent by sub-proof
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | #85.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | (1222) all_6_4 = e2 | all_6_4 = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1223) all_6_4 = e2
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (160), (1223) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1224) all_4_20 = e2
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | SIMP: (1224) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1225) all_4_20 = e2
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1225) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1226) ~ (all_4_5 = e2)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (1225) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1227) ~ (all_4_21 = e2)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | SIMP: (1227) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1228) ~ (all_4_21 = e2)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1225) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1229) ~ (all_4_24 = e2)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | SIMP: (1229) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | (1230) ~ (all_4_24 = e2)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | (1231) all_6_1 = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1231) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | (1232) all_4_5 = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1202), (1232) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | (1234) ~ (all_6_1 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | (1235) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1215) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | (1236) unit = e3
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (270), (1236) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | (1237) $false
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1237) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | (1238) unit = e2 | unit = e1 | unit = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | (1239) unit = e1
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (268), (1239) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | (1240) $false
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1240) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | (1241) unit = e2 | unit = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1241) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1242) unit = e2
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1243) op(e2, e4) = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1244) op(e2, e3) = e3
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1245) op(e2, e1) = e1
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1246) op(e2, e0) = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1247) op(e3, e2) = e3
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1248) op(e2, e2) = e2
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1249) op(e1, e2) = e1
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1242) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | (1250) op(e0, e2) = e0
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (7) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1251) ~ (op(e2, e4) = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1243), (1251) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1252) $false
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1252) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_6_10 = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (62), (1253) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1254) all_4_2 = e4
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (211), (1254) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_4_4 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1255) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1256) ~ (all_4_4 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1254) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1257) ~ (all_4_7 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1257) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ~ (all_4_7 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (208), (1254) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_4_12 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1259) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1260) ~ (all_4_12 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1254) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1261) ~ (all_4_17 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1261) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | (1262) ~ (all_4_17 = e4)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) ~ (op(e3, e2) = e3)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1247), (1263) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) $false
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1264) is inconsistent.
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_4_11 = e3
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (235), (1265) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) ~ (all_4_14 = e3)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1266) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_4_14 = e3)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1265) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_4_16 = e3)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1268) implies:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) ~ (all_4_16 = e3)
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (41), (1265) imply:
% 104.38/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_4_21 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_4_21 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (op(e2, e3) = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1244), (1272) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) $false
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1273) is inconsistent.
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_4_7 = e3
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (261), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_6_11 = e3
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) ~ (all_4_5 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_4_6 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (214), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) ~ (all_4_8 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1278) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_4_8 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (239), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_4_12 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_4_12 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) ~ (all_4_17 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1282) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) ~ (all_4_17 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1258), (1274) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) ~ (e4 = e3)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) ~ (op(e2, e2) = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1248), (1285) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) $false
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1286) is inconsistent.
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_4_12 = e2
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1287) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_4_13 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1288) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_4_13 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1287) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) ~ (all_4_14 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1290) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) ~ (all_4_14 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (1287) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) ~ (all_4_17 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1292) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_4_17 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1260), (1287) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (e4 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1294) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) ~ (e4 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1281), (1287) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) ~ (e3 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1296) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) ~ (e3 = e2)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) ~ (op(e1, e2) = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1249), (1298) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) $false
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1299) is inconsistent.
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_4_13 = e1
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1300) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_4_8 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1300) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_4_14 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1302) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) ~ (all_4_14 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (192), (1300) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) ~ (all_4_23 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1304) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_4_23 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 &
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e4)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (189), (251), (271), (1295), (1306) are
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #206.
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1307) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_9_6 = e4 & op(e2, e4) = e4
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1308) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_9_6 = e4
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) ~ (op(e2, e1) = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1245), (1310) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) $false
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1311) is inconsistent.
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_4_17 = e1
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (1312) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) ~ (all_4_16 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1312) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) ~ (all_4_18 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) ~ (all_4_18 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1312) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ~ (all_4_19 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1316) implies:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) ~ (all_4_19 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1262), (1312) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) ~ (e4 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1283), (1312) imply:
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) ~ (e3 = e1)
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1319) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) ~ (e3 = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1293), (1312) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) ~ (e2 = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1321) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (e2 = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 &
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (106), (128), (215), (1277), (1297), (1323) are
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e3) | (all_9_17 = e3 & op(e3, e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1324) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_9_5 = e3 & op(e3, e2) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1325) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_9_5 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (136) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) ~ (op(e0, e2) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1250), (1327) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1328) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_6_22 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (54), (1329) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_4_14 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1330) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_4_14 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_4_9 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) ~ (all_4_19 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1333) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) ~ (all_4_19 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1204), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) ~ (e4 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1267), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) ~ (e3 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1291), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) ~ (e2 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1337) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) ~ (e2 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1303), (1331) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) ~ (e1 = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) (all_9_9 = e1 & op(e4, e1) = e1) | (all_9_10 = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1340) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_9_9 = e1 & op(e4, e1) = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1341) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) op(e4, e1) = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (1320), (1342) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_9_10 = e1 & op(e3, e1) = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1343) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) op(e3, e1) = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (231), (1313), (1344) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_15 = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e1) | (all_9_23 = e1 & op(e0, e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1345) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_9_11 = e1 & op(e2, e1) = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1346) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_9_11 = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_9_24 = e0 & op(e0, e0) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1348) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) op(e0, e0) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (67), (1176), (1349) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1179) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) (all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0) | (all_9_22 = e0 & op(e0, e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) | (all_9_23 = e0 & op(e0, e1) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 &
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e3) = e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (1212), (1322), (1338), (1351) are
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 &
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = e2) | (all_9_16 = e2 & op(e4, e0) =
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1352) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_9_4 = e2 & op(e4, e2) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1197), (1295), (1353) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_16 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e0) = e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1354) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_9_9 = e2 & op(e4, e1) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (80), (1297), (1355) are inconsistent by sub-proof
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #174.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_9_16 = e2 & op(e4, e0) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1356) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_9_16 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) op(e4, e0) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1350) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) (all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_9_20 = e0 & op(e0, e4) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1360) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) op(e0, e4) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (264), (1361) are inconsistent by sub-proof
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_9_21 = e0 & op(e0, e3) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1362) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) op(e0, e3) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) ~ (op(e0, e3) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1363), (1364) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1365) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_4_9 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1332), (1366) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1367) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1368) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_9_22 = e0 & op(e0, e2) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1369) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_9_22 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_9_9 = e0 & op(e4, e1) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1372) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_9_9 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (1373) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) e3 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1374) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) e3 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (258), (1375) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1376) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_9_10 = e0 & op(e3, e1) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1377) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_9_10 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) op(e3, e1) = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (210), (258), (1279), (1380) are
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3) | (all_9_19 = e3 & op(e1, e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1381) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_9_14 = e3 & op(e1, e2) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1382) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_9_14 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (31), (43), (51),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (60), (61), (70), (93), (99), (101), (105), (106),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (124), (128), (142), (146), (158), (165),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (226), (237), (251),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (258), (1188), (1197), (1289), (1291),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293), (1295), (1297), (1309), (1320), (1322),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326), (1338), (1347), (1370), (1383) are
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #71.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_19 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1384) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_9_15 = e3 & op(e1, e1) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1385) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) op(e1, e1) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (105), (266), (1386) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_9_19 = e3 & op(e1, e0) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1387) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_9_19 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) op(e1, e0) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1235) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_6_1 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1390) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_4_5 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1276), (1391) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1392) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_6_1 = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1394) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_6_1 = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1395) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_4_5 = e1
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (172), (1396) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1397) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) ~ (all_6_1 = e1)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_6_1 = e2 | all_6_1 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 &
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_9_6 = e3 & op(e2, e4) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (1309), (1401) are inconsistent by sub-proof
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_9_7 = e3 & op(e2, e3) = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1402) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_9_7 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 &
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_9_6 = e2 & op(e2, e4) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (193), (1405) are inconsistent by sub-proof
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_9_7 = e2 & op(e2, e3) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1406) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_9_7 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1403), (1407) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) e3 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1408) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) e3 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1388), (1409) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_9_19 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (93), (99), (101), (105),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (111), (124), (128), (142), (146), (158),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (189), (193), (206), (209), (210),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (237), (251), (252), (258), (266), (1188),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1279), (1289), (1291), (1293), (1295),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1309), (1320), (1322), (1326), (1338),
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (1370), (1410) are inconsistent by
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2, e0)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_9_8 = e2 & op(e2, e2) = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_9_8 = e2
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_6_20 = e4
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (1414) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_4_4 = e4
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1415) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_4_4 = e4
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1256), (1416) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) $false
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1417) is inconsistent.
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_6_20 = e4)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1419) gives:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_6_20 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (1420) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_4_4 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1421) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_4_4 = e3
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1422) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) ~ (all_4_19 = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1423) implies:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (all_4_19 = e3)
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (250), (1422) imply:
% 104.54/14.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) ~ (all_4_24 = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1425) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_4_24 = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (70) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 &
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (106), (128), (1297), (1320), (1427)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #214.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1428) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_9_6 = e3 & op(e2, e4) = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (1309), (1429) are inconsistent by sub-proof
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1430) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_9_12 = e3 & op(e1, e4) = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (258), (1431) are inconsistent by sub-proof
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_9_20 = e3 & op(e0, e4) = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1432) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_9_20 = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) op(e0, e4) = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (18) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) (all_9_12 = e1 & op(e1, e4) = e1) | (all_9_13 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1435) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_9_12 = e1 & op(e1, e4) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1436) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_9_12 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (15), (1437) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) e1 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1438) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) e1 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1439) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) $false
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1440) is inconsistent.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_9_13 = e1 & op(e1, e3) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1441) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) op(e1, e3) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (1301), (1442) are inconsistent by
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_15 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e1) | (all_9_19 = e1 & op(e1, e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1443) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_9_14 = e1 & op(e1, e2) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1444) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_9_14 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1399) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_6_1 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1446) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_4_5 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1226), (1447) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) $false
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1448) is inconsistent.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_6_1 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (40), (1449) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_4_5 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (1450) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_4_6 = e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1451) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_4_6 = e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1450) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) ~ (all_4_8 = e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1450) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) op(e4, e3) = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) ~ (op(e0, e4) = e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) ~ (op(e4, e1) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (263) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (op(e0, e4) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (94) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) ~ (op(e4, e1) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) ~ (op(e2, e3) = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (op(e1, e4) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (140) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) ~ (op(e3, e1) = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (123) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) ~ (op(e3, e1) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) ~ (op(e1, e2) = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (142) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) ~ (op(e2, e1) = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) ~ (op(e1, e3) = e3)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) ~ (op(e1, e3) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) ~ (op(e1, e4) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) ~ (op(e1, e0) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (47) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) ~ (op(e3, e4) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (134) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_6_9 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (1470) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) all_4_21 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (1471) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) ~ (all_4_6 = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 &
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (1469), (1472), (1473) are
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4) | (all_9_17 = e4 & op(e3, e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1474) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_9_5 = e4 & op(e3, e2) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (106), (128), (140), (215), (221), (223),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1271), (1277), (1297), (1475) are
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) (all_9_10 = e4 & op(e3, e1) = e4) | (all_9_17 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1476) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_9_10 = e4 & op(e3, e1) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (1378), (1477) are inconsistent by
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_9_17 = e4 & op(e3, e0) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1478) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_9_17 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) op(e3, e0) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_6_6 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (1472), (1481) are inconsistent by
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1482) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_6_6 = e3
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (149), (1277), (1483) are inconsistent by
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 &
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1485) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_9_2 = e1 & op(e3, e4) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1486) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_9_2 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (1295), (1297), (1320), (1322),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338), (1487) are inconsistent by sub-proof #181.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_9_3 = e1 & op(e3, e3) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1488) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) op(e3, e3) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (1295), (1297), (1320),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1338), (1357), (1479), (1490) are
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | (all_9_24 = e1 & op(e0, e0)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_9_18 = e1 & op(e2, e0) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1188), (1492) are inconsistent by sub-proof
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #62.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) (all_9_19 = e1 & op(e1, e0) = e1) | (all_9_24 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1493) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_9_19 = e1 & op(e1, e0) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1468), (1494) are inconsistent by sub-proof #61.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) all_9_24 = e1 & op(e0, e0) = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1495) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_9_24 = e1
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_6_23 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (1497) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) all_4_19 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1498) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) ~ (all_4_9 = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1498) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) ~ (all_4_18 = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_6_18 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (1501) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_4_18 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1502) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_4_18 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1500), (1503) imply:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) $false
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1504) is inconsistent.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) ~ (all_6_18 = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e0
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_9_12 = e4 & op(e1, e4) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1460), (1508) are inconsistent by sub-proof #60.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_9_13 = e4 & op(e1, e3) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1509) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_9_13 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (93), (99), (101),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (111), (124), (128), (142), (146),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (164), (165), (174), (177), (189), (193),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (210), (226), (237), (251), (252),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (266), (1188), (1197), (1279), (1289),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291), (1293), (1295), (1297), (1309), (1320),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1347), (1370), (1388),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) are inconsistent by sub-proof #59.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_9_23 = e2 & op(e0, e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) all_9_11 = e2 & op(e2, e1) = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1464), (1513) are inconsistent by sub-proof #58.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_23 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e2)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1514) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_9_15 = e2 & op(e1, e1) = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1515) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_9_15 = e2
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (1378), (1456), (1517) are inconsistent by
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_9_11 = e4 & op(e2, e1) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (1347), (1519) are inconsistent by sub-proof
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #56.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4)
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_9_15 = e4 & op(e1, e1) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (43), (51), (60), (61), (70), (80),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (99), (101), (105), (106), (111), (124),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (131), (133), (139), (142), (144),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (160), (164), (165), (174), (177),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (210), (219), (223),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (232), (237), (251), (252), (255),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (266), (1188), (1191), (1197),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1256), (1271), (1279), (1289), (1291),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293), (1295), (1297), (1305), (1309), (1320),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1347), (1370), (1388),
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1445), (1464), (1496), (1499), (1521) are
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #43.
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_9_23 = e4 & op(e0, e1) = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1522) implies:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_9_23 = e4
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e3 & op(e4, e3) = all_8_40
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(e3, e4) = all_8_44 & op(e3, e3)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_44)) | (all_8_57 = e2 & all_8_61
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e2) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41)) | (all_8_57 = e2 & all_8_61 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_48 & op(e2, e2) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_57 = e1 & all_8_63 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_42 = e4) & op(e4, e4) = e1 & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e1) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42)) | (all_8_57 = e1 & all_8_63 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_52 = e1) & op(e4, e4) = e1 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_52 & op(e1, e1) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_52)) | (all_8_57 = e0 & all_8_64 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_43 = e4) & op(e4, e4) = e0 & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_43 & op(e0, e0) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43)) | (all_8_59 = e2 & all_8_61 = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_45 & op(e2, e2) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e3 & op(e4, e3) = all_8_40
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(e3, e4) = all_8_44 & op(e3, e3)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_44)) | (all_8_57 = e2 & all_8_61
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e2) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41)) | (all_8_57 = e2 & all_8_61 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_48 & op(e2, e2) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (105), (1320), (1322), (1525) are
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #129.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e1 & op(e4, e1) = all_8_42
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(e1, e4) = all_8_52 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_52)) | (all_8_57 = e0 & all_8_64
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (all_8_43 = e4) & op(e4, e4) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e0) = all_8_43 & op(e0, e0) = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43)) | (all_8_59 = e2 & all_8_61 = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_45 = e3) & op(e3, e3) = e2 & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_45 & op(e2, e2) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) (all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e1 & op(e4, e1) = all_8_42
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4 & $i(all_8_42)) | (all_8_57 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e4 & ~ (all_8_52 = e1) & op(e4,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(e1, e4) = all_8_52 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & $i(all_8_52))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_42 = e4)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e1 & op(e4, e1) = all_8_42 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e4 & $i(all_8_42)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1528) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) op(e1, e1) = e4
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (35), (43), (51), (60), (61), (70),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (71), (80), (93), (99), (101), (105), (106),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (124), (125), (128), (131), (133), (139),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (144), (146), (158), (160), (164), (165),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (174), (177), (189), (193), (200), (206), (209),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (219), (223), (225), (226), (232), (237),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (255), (258), (259), (266), (1188),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191), (1197), (1212), (1256), (1271), (1279),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1293), (1305), (1309), (1315),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1326), (1347), (1370), (1378), (1388),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1445), (1456), (1464), (1496), (1499),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500), (1506), (1523), (1529) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_8_57 = e1 & all_8_63 = e4 & ~ (all_8_52 = e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e1 & op(e1, e4) = all_8_52 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e4 & $i(all_8_52)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) op(e1, e1) = e4
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (35), (43), (51), (60), (61), (70),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (71), (80), (93), (99), (101), (105), (106),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (111), (124), (125), (128), (131), (133), (139),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (142), (144), (146), (158), (160), (164), (165),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (174), (177), (189), (193), (200), (206), (209),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (219), (223), (225), (226), (232), (237),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (255), (258), (259), (266), (1188),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191), (1197), (1212), (1256), (1271), (1279),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1293), (1305), (1309), (1315),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1326), (1347), (1370), (1378), (1388),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1445), (1456), (1464), (1496), (1499),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500), (1506), (1523), (1531) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_43 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & op(e4, e4) = e0 & op(e4, e0) = all_8_43
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e4 & $i(all_8_43)) | (all_8_59 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & all_8_61 = e3 & ~ (all_8_45 = e3) & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(e3, e2) = all_8_45 & op(e2, e2)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_45))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_43 = e4)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e0 & op(e4, e0) = all_8_43 & op(e0,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e4 & $i(all_8_43)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1533) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) op(e4, e4) = e0
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (1534) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_45 = e3)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2 & op(e3, e2) = all_8_45 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e3 & $i(all_8_45)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1535) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) op(e2, e2) = e3
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) op(e3, e3) = e2
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (29), (35), (43), (70), (71), (93),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (158), (193), (237), (258), (1248), (1309),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315), (1320), (1433), (1489), (1506), (1536),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) are inconsistent by sub-proof #38.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46)) | (all_8_59 = e1 & all_8_63
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & op(e1, e1) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_59 = e0 & all_8_64 = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_47 & op(e0, e0) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47)) | (all_8_61 = e1 & all_8_63 = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_50 = e2) & op(e2, e2) = e1 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_50 & op(e1, e1) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50)) | (all_8_61 = e1 & all_8_63 = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_54 = e1) & op(e2, e2) = e1 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = all_8_54 & op(e1, e1) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54)) | (all_8_61 = e0 & all_8_64 = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_51 = e2) & op(e2, e2) = e0 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_51 & op(e0, e0) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_56 = e0) & op(e4, e4) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_56)) |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = e0 & op(e0, e3) =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_58)) | (all_8_61 = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_55 = e1) & op(e1, e1) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & $i(all_8_55)) |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e1) = e0 & op(e0, e1) =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_62))))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1538) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46)) | (all_8_59 = e1 & all_8_63
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ~ (all_8_53 = e1) & op(e3, e3) = e1 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & op(e1, e1) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_59 = e0 & all_8_64 = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_47 = e3) & op(e3, e3) = e0 & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_47 & op(e0, e0) = e3 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1539) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) (all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e3, e3) = e2 & op(e2, e3) = all_8_49
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e3 & $i(all_8_49)) | (all_8_59 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e3 & ~ (all_8_46 = e3) & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e1 & op(e3, e1) = all_8_46 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_46))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1540) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) all_8_59 = e2 & all_8_61 = e3 & ~ (all_8_49 = e2)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e2 & op(e2, e3) = all_8_49 & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e3 & $i(all_8_49)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1541) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) op(e2, e2) = e3
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) op(e3, e3) = e2
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (29), (35), (43), (70), (71), (93),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (158), (193), (237), (258), (1248), (1309),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315), (1320), (1433), (1489), (1506), (1542),
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) are inconsistent by sub-proof #38.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_46 = e3)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e1 & op(e3, e1) = all_8_46 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3 & $i(all_8_46)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1544) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) op(e1, e1) = e3
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (105), (266), (1545) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) (all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_53 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e3, e3) = e1 & op(e1, e3) = all_8_53
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e3 & $i(all_8_53)) | (all_8_59 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e3 & ~ (all_8_47 = e3) & op(e3,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(e3, e0) = all_8_47 & op(e0, e0)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & $i(all_8_47))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1546) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_8_59 = e1 & all_8_63 = e3 & ~ (all_8_53 = e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e1 & op(e1, e3) = all_8_53 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e3 & $i(all_8_53)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1547) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) op(e1, e1) = e3
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (105), (266), (1548) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_47 = e3)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0 & op(e3, e0) = all_8_47 & op(e0,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e3 & $i(all_8_47)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1549) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) op(e3, e3) = e0
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (104), (105), (149), (1452), (1484), (1550)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #110.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e1 & op(e2, e1) = all_8_50
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e2) = all_8_54 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_8_54)) | (all_8_61 = e0 & all_8_64
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ~ (all_8_51 = e2) & op(e2, e2) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_8_51 & op(e0, e0) = e2 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51)) | (op(e0, e0) = all_8_64 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_64) & ((all_8_57 = e0 & all_8_64 = e4 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_56 = e0) & op(e4, e4) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_56)) |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e3, e3) = e0 & op(e0, e3) =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_58)) | (all_8_61 = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_55 = e1) & op(e1, e1) = e0 &
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & $i(all_8_55)) |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e1, e1) = e0 & op(e0, e1) =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_62))))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) (all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e1 & op(e2, e1) = all_8_50
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2 & $i(all_8_50)) | (all_8_61 =
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & all_8_63 = e2 & ~ (all_8_54 = e1) & op(e2,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(e1, e2) = all_8_54 & op(e1, e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & $i(all_8_54))
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1552) gives:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_50 = e2)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e2, e1) = all_8_50 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_8_50)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) op(e2, e2) = e1
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1248), (1322), (1554) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_8_61 = e1 & all_8_63 = e2 & ~ (all_8_54 = e1)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e1 & op(e1, e2) = all_8_54 & op(e1,
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e2 & $i(all_8_54)
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1555) implies:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) op(e2, e2) = e1
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1248), (1322), (1556) are inconsistent by
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_51 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & op(e2, e2) = e0 & op(e2, e0) = all_8_51
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e2 & $i(all_8_51)) | (op(e0, e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_64 & $i(all_8_64) & ((all_8_57 = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e4 & ~ (all_8_56 = e0) & op(e4,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e0 & op(e0, e4) = all_8_56 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_58 = e0) & op(e3, e3) = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_58)) |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0) & op(e2, e2) = e0 & op(e0, e2) =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_60)) | (all_8_63 = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e1 & ~ (all_8_55 = e1) & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_8_55 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)) | (all_8_63 = e0 & all_8_64 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_62 = e0) & op(e1, e1) = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_62))))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1557) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_51 = e2)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0 & op(e2, e0) = all_8_51 & op(e0,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = e2 & $i(all_8_51)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1558) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) op(e2, e2) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1248), (1338), (1559) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) op(e0, e0) = all_8_64 & $i(all_8_64) & ((all_8_57
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & all_8_64 = e4 & ~ (all_8_56 = e0) &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_58)) |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e2) = e0 & op(e0, e2) =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_60)) | (all_8_63 = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_64 = e1 & ~ (all_8_55 = e1) & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e1, e0) = all_8_55 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_62 = e0) & op(e1, e1) = e0 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_62)))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1560) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 & op(e0,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_58 & $i(all_8_58)) | (all_8_61 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e2 & ~ (all_8_60 = e0) & op(e2,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(e0, e2) = all_8_60 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_55 = e1) & op(e1, e1) = e0 & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_55 & $i(all_8_55)) | (all_8_63 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e1 & ~ (all_8_62 = e0) & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e1) = all_8_62 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1506) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) all_6_18 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (1562) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_4_18 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1563) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) $false
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1564) is inconsistent.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) ~ (all_6_18 = e3)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1566) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_6_18 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (1567) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_4_18 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1315), (1568) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) $false
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1569) is inconsistent.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_6_18 = e1)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_6_18 = e2 | all_6_18 = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1561) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) (all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e4, e4) = e0 & op(e0, e4) = all_8_56
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)) | (all_8_59 = e0 & all_8_64 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_58 = e0) & op(e3, e3) = e0 & op(e0,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_58 & $i(all_8_58))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1572) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) all_8_57 = e0 & all_8_64 = e4 & ~ (all_8_56 = e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e4, e4) = e0 & op(e0, e4) = all_8_56 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1573) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) op(e4, e4) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (43), (105), (1574) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) all_8_59 = e0 & all_8_64 = e3 & ~ (all_8_58 = e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e3) = e0 & op(e0, e3) = all_8_58 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1575) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) op(e3, e3) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (104), (105), (149), (1452), (1484), (1576)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #110.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) (all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & op(e2, e2) = e0 & op(e0, e2) = all_8_60
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_60)) | (all_8_63 = e0 & all_8_64 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_55 = e1) & op(e1, e1) = e0 & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) = all_8_55 & $i(all_8_55)) | (all_8_63 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & all_8_64 = e1 & ~ (all_8_62 = e0) & op(e1,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(e0, e1) = all_8_62 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1577) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) all_8_61 = e0 & all_8_64 = e2 & ~ (all_8_60 = e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e2) = e0 & op(e0, e2) = all_8_60 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1578) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) op(e2, e2) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1248), (1338), (1579) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) (all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_55 =
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & op(e1, e1) = e0 & op(e1, e0) = all_8_55
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_55)) | (all_8_63 = e0 & all_8_64 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_62 = e0) & op(e1, e1) = e0 & op(e0,
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_62 & $i(all_8_62))
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_55 = e1)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0 & op(e1, e0) = all_8_55 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1581) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) op(e1, e1) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (23), (29), (34),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (43), (51), (60), (61), (70), (71), (80),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (101), (105), (106), (124), (125), (128),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (131), (139), (144), (158), (160), (164), (189),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (210), (223), (232), (237), (251),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (255), (258), (266), (1188), (1191),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1212), (1271), (1279), (1289), (1305),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1315), (1320), (1500), (1510), (1516),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571), (1582) are inconsistent by sub-proof #35.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_8_63 = e0 & all_8_64 = e1 & ~ (all_8_62 = e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0 & op(e0, e1) = all_8_62 &
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1583) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) op(e1, e1) = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (23), (29), (34),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (35), (43), (51), (60), (61), (70), (71), (80),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (101), (105), (106), (124), (125), (128),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (131), (139), (144), (158), (160), (164), (189),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (210), (223), (232), (237), (251),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (255), (258), (266), (1188), (1191),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1212), (1271), (1279), (1289), (1305),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1315), (1320), (1500), (1510), (1516),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571), (1584) are inconsistent by sub-proof #35.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_9_23 = e2 & op(e0, e1) = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1585) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_9_23 = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (43), (51), (60), (61), (70), (80),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (99), (101), (105), (106), (111), (124),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (131), (133), (139), (142), (144),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (160), (164), (165), (174), (177),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (200), (206), (209), (210), (219),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (226), (232), (237), (251), (252),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (258), (259), (266), (1188), (1191),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1212), (1256), (1271), (1279), (1289),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291), (1293), (1295), (1297), (1305), (1309),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1322), (1326), (1338), (1347), (1370),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378), (1388), (1413), (1445), (1456), (1464),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496), (1499), (1586) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (43), (51), (60), (61), (70), (80),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (99), (101), (105), (106), (111), (124),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (131), (133), (139), (142), (144),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (160), (164), (165), (174), (177),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (210), (219), (223),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (232), (237), (251), (252), (255),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (266), (1188), (1191), (1197),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1256), (1271), (1279), (1289), (1291),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293), (1295), (1297), (1305), (1309), (1320),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1347), (1370), (1388),
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1445), (1464), (1496), (1499), (1587) are
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1589) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_9_9 = e4 & op(e4, e1) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1456), (1590) are inconsistent by sub-proof #112.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_9_10 = e4 & op(e3, e1) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (1378), (1591) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1592) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_9_11 = e4 & op(e2, e1) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (61), (1347), (1593) are inconsistent by sub-proof
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #56.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_9_15 = e4 & op(e1, e1) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1595) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_9_15 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (144) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e2)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1597) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_9_12 = e2 & op(e1, e4) = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1338), (1598) are inconsistent by sub-proof
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #191.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_9_13 = e2 & op(e1, e3) = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1599) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) op(e1, e3) = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e4)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_9_20 = e4 & op(e0, e4) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1602) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) op(e0, e4) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (219), (1256), (1603) are inconsistent by
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_9_21 = e4 & op(e0, e3) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1604) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) op(e0, e3) = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_6_23 = e3
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (1424), (1606) are inconsistent by sub-proof
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #31.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) ~ (all_6_23 = e3)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_6_23 = e1
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (1317), (1609) are inconsistent by sub-proof
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30.
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) ~ (all_6_23 = e1)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_6_23 = e2 | all_6_23 = e0
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_6_23 = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (1612) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_4_19 = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1613) implies:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_4_19 = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1614) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) ~ (all_4_18 = e2)
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1614) imply:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) op(e0, e1) = e2
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_6_18 = e4
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (1617) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_4_18 = e4
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (1618) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) ~ (all_4_8 = e4)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (248) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_6_16 = e4
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (1620) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_4_8 = e4
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1619), (1621) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) $false
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) ~ (all_6_16 = e4)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)) | (all_8_11 = e3 & ~ (all_8_10 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_45 = all_8_49) & op(all_8_45,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_10 & op(all_8_45, e2) = e3 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_10) & $i(all_8_45) & $i(all_8_49)) |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)) | (all_8_15 = e3 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_14 = e0) & ~ (all_8_47 = all_8_58) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e3) = all_8_14 & op(all_8_47, e0) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_14) & $i(all_8_47) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_17 = e2 & ~ (all_8_16 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_41 = all_8_48) & op(all_8_48,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e2 & op(all_8_48, e2) = all_8_16 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_16) & $i(all_8_41) & $i(all_8_48)) |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_45) & $i(all_8_49))
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1626) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48))
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_44)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1628) implies:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) ~ (all_8_0 = e3)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) op(e4, e3) = all_8_40
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) op(all_8_40, e4) = all_8_0
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_40, e3, e4,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1454), (1630) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_8_40 = e0
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_0, e4, e0,
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1434) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_8_0 = e3 | ~ (op(e0, e4) = all_8_0)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1631), (1632) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) op(e0, e4) = all_8_0
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1633) gives:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) ~ (op(e0, e4) = all_8_0)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1634), (1635) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) $false
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1636) is inconsistent.
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_8_0 = e3
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1629), (1637) imply:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) $false
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1638) is inconsistent.
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41 =
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48) & op(all_8_41, e4) = all_8_2 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e2) = e4 & op(e4, e2) = all_8_41 &
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_8_48 & $i(all_8_2) & $i(all_8_41)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_48)
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1639) implies:
% 104.54/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) ~ (all_8_41 = all_8_48)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) op(e2, e4) = all_8_48
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) op(e4, e2) = all_8_41
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1198), (1243), (1640), (1641), (1642) are
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) (all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)) | (all_8_7 = e4 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_6 = e0) & ~ (all_8_43 = all_8_56) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e4) = all_8_6 & op(all_8_43, e0) =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_6) & $i(all_8_43) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_9 = e3 & ~ (all_8_8 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_40 = all_8_44) & op(all_8_44,
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(all_8_44, e3) = all_8_8 & op(e4,
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_40 & op(e3, e4) = all_8_44 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_8) & $i(all_8_40) & $i(all_8_44))
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1643) gives:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) & $i(all_8_42)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_52)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1644) implies:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_8_42 = all_8_52)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) op(e1, e4) = all_8_52
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) op(e4, e1) = all_8_42
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) op(all_8_42, e1) = e4
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (23), (29), (34), (43),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (82), (97), (105),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (124), (125), (128), (131), (139), (144),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (164), (189), (193), (206), (209),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (223), (232), (237), (251), (252), (255),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (1188), (1191), (1197), (1212), (1271),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279), (1289), (1295), (1297), (1305), (1309),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1370), (1379), (1413),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445), (1456), (1458), (1460), (1467), (1596),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645), (1646), (1647), (1648) are inconsistent by
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) & $i(all_8_43)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1650) implies:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_8_43 = all_8_56)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) op(e0, e4) = all_8_56
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) op(e4, e0) = all_8_43
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) op(all_8_43, e0) = e4
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (23), (29), (34),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (51), (60), (61), (70), (80), (101), (105),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (124), (125), (128), (131), (139), (144),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (164), (189), (193), (206), (209),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (223), (232), (237), (251), (252), (255),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (1188), (1189), (1190), (1191), (1197),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1246), (1271), (1279), (1289), (1305),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1320), (1322), (1326), (1358), (1370),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1434), (1445), (1455), (1457), (1596),
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651), (1652), (1653), (1654) are inconsistent by
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_8_9 = e3 & ~ (all_8_8 = e4) & ~ (all_8_40 =
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_44, e4) = e3 & op(all_8_44,
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_8 & op(e4, e3) = all_8_40 & op(e3,
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1655) implies:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) op(e3, e4) = all_8_44
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) op(all_8_44, e4) = e3
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (93), (105), (1243), (1656), (1657) are
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.78/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_15 = e3 & ~ (all_8_14 =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_47 = all_8_58) & op(all_8_47,
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_14 & op(all_8_47, e0) = e3 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_14) & $i(all_8_47) & $i(all_8_58)) |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1658) gives:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53))
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1660) implies:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) ~ (all_8_45 = all_8_49)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) op(e2, e3) = all_8_49
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) op(e3, e2) = all_8_45
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1244), (1247), (1661), (1662), (1663) are
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1664) implies:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) ~ (all_8_46 = all_8_53)
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) op(e1, e3) = all_8_53
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) op(e3, e1) = all_8_46
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) op(all_8_46, e1) = e3
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.84 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_6_16 = e3
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (1279), (1669) are inconsistent by sub-proof
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) ~ (all_6_16 = e3)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_6_16 = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (1301), (1672) are inconsistent by sub-proof
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_6_16 = e2 | all_6_16 = e0
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_6_16 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (1674) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_4_8 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1675) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_4_8 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e2, all_8_53, e3, e1,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1600), (1666) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_8_53 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1465), (1666) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) ~ (all_8_53 = e3)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1466), (1666) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) ~ (all_8_53 = e1)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_46, e1, e3,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1379), (1667) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_8_46 = e0
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1461), (1667) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_8_46 = e3)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1462), (1667) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (all_8_46 = e1)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e2, e3, e1, e0,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1616) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) e3 = e2 | ~ (op(e0, e1) = e3)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1668), (1680) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) op(e0, e1) = e3
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1683) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) ~ (op(e0, e1) = e3)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1684), (1685) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) $false
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1686) is inconsistent.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) e3 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1388), (1687) imply:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_9_19 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (93), (99), (101), (105),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (111), (124), (128), (142), (146), (158),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (189), (193), (206), (209), (210),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (237), (251), (252), (258), (266), (1188),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1279), (1289), (1291), (1293), (1295),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1309), (1320), (1322), (1326), (1338),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (1370), (1688) are inconsistent by
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_6_16 = e0
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (56), (1689) are inconsistent by sub-proof
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) (all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)) | (all_8_17 = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e4) = e2 & op(all_8_48, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_16) & $i(all_8_41) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_45 = all_8_49) & op(all_8_49,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(all_8_49, e2) = all_8_18 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_18) & $i(all_8_45) & $i(all_8_49))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1690) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1691) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) ~ (all_8_47 = all_8_58)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) op(e0, e3) = all_8_58
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) op(e3, e0) = all_8_47
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1480), (1605), (1692), (1693), (1694) are
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1695) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41) & $i(all_8_48)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_8_41 = all_8_48)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) op(e2, e4) = all_8_48
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) op(e4, e2) = all_8_41
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1198), (1243), (1697), (1698), (1699) are
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1700) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_8_45 = all_8_49)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) op(e2, e3) = all_8_49
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) op(e3, e2) = all_8_45
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1244), (1247), (1701), (1702), (1703) are
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54)) | (all_8_31 = e1 & ~ (all_8_30 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_55 = all_8_62) & op(all_8_55,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_30 & op(all_8_55, e0) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_43) & $i(all_8_56)) | (all_8_35 = e0
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_34 = e3) & ~ (all_8_47 = all_8_58)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_58, e3) = e0 & op(all_8_58, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_34 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_34) & $i(all_8_47) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_37 = e0 & ~ (all_8_36 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_51 = all_8_60) & op(all_8_60,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(all_8_60, e0) = all_8_36 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_8_51 & op(e0, e2) = all_8_60 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_36) & $i(all_8_51) & $i(all_8_60)) |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_55) & $i(all_8_62))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1704) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1705) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1707) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) ~ (all_8_50 = all_8_54)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) op(e1, e2) = all_8_54
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) op(e2, e1) = all_8_50
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1245), (1249), (1708), (1709), (1710) are
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_8_23 = e2 & ~ (all_8_22 = e0) & ~ (all_8_51
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_51, e2) = all_8_22 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e0) = e2 & op(e2, e0) = all_8_51 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_8_60 & $i(all_8_22) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1711) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_8_51 = all_8_60)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) op(e0, e2) = all_8_60
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) op(e2, e0) = all_8_51
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1246), (1250), (1712), (1713), (1714) are
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) (all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_42) & $i(all_8_52)) | (all_8_27 = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_26 = e3) & ~ (all_8_46 = all_8_53)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_53, e3) = e1 & op(all_8_53, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_26 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_26) & $i(all_8_46) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_29 = e1 & ~ (all_8_28 =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_50 = all_8_54) & op(all_8_54,
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(all_8_54, e1) = all_8_28 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_28) & $i(all_8_50) & $i(all_8_54))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1715) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1716) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) ~ (all_8_42 = all_8_52)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) op(e1, e4) = all_8_52
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) op(e4, e1) = all_8_42
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) op(all_8_52, e4) = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (82), (97), (105), (158),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (237), (1297), (1309), (1322), (1338),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433), (1434), (1456), (1458), (1717), (1718),
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719), (1720) are inconsistent by sub-proof #18.
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26) &
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1722) implies:
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) ~ (all_8_46 = all_8_53)
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) op(e1, e3) = all_8_53
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) op(e3, e1) = all_8_46
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) op(all_8_53, e3) = e1
% 104.80/14.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (1244), (1309), (1320), (1379), (1433),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461), (1465), (1466), (1600), (1723), (1724),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725), (1726) are inconsistent by sub-proof #17.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_8_29 = e1 & ~ (all_8_28 = e2) & ~ (all_8_50
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_54, e2) = e1 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_54, e1) = all_8_28 & op(e2, e1) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50 & op(e1, e2) = all_8_54 & $i(all_8_28) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1727) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) ~ (all_8_50 = all_8_54)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) op(e1, e2) = all_8_54
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) op(e2, e1) = all_8_50
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1245), (1249), (1728), (1729), (1730) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_35 = e0 & ~ (all_8_34 =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_47 = all_8_58) & op(all_8_58,
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(all_8_58, e0) = all_8_34 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_34) & $i(all_8_47) & $i(all_8_58)) |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1731) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56))
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1733) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) ~ (all_8_30 = e0)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) op(e1, e0) = all_8_55
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) op(all_8_55, e1) = all_8_30
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1379), (1389), (1734), (1735), (1736) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1737) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) op(e0, e4) = all_8_56
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) op(e4, e0) = all_8_43
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) op(all_8_56, e4) = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1624) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_6_16 = e3
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (1279), (1741) are inconsistent by sub-proof
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #24.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1742) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_6_16 = e1
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (1301), (1743) are inconsistent by sub-proof
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #23.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_6_16 = e2 | all_6_16 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_56, e4, e0,
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1434), (1738) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_8_56 = e3
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (105), (1189), (1358), (1739), (1740),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) are inconsistent by sub-proof #15.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_6_16 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (56), (1746) are inconsistent by sub-proof
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) (all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_47) & $i(all_8_58)) | (all_8_37 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_36 = e2) & ~ (all_8_51 = all_8_60)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_60, e2) = e0 & op(all_8_60, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_36) & $i(all_8_51) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_39 = e0 & ~ (all_8_38 =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_55 = all_8_62) & op(all_8_62,
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(all_8_62, e0) = all_8_38 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_38) & $i(all_8_55) & $i(all_8_62))
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1747) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1748) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (all_8_47 = all_8_58)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) op(e0, e3) = all_8_58
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) op(e3, e0) = all_8_47
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1480), (1605), (1749), (1750), (1751) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1752) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1753) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) ~ (all_8_51 = all_8_60)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) op(e0, e2) = all_8_60
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) op(e2, e0) = all_8_51
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1246), (1250), (1754), (1755), (1756) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38) &
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1757) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) op(e0, e1) = all_8_62
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) op(all_8_62, e1) = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (105), (1245), (1616), (1758), (1759) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (35), (71), (1315), (1615), (1760) are
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #13.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_6_23 = e0
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (1334), (1761) are inconsistent by sub-proof
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #12.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4) | (all_9_24 = e4 & op(e0, e0)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (43), (51), (60), (61), (70), (80),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (99), (101), (105), (106), (111), (124),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (131), (133), (139), (142), (144),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (160), (164), (165), (174), (177),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (210), (223), (226),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (232), (237), (251), (252), (255), (258), (266),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188), (1191), (1197), (1212), (1271), (1279),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1293), (1295), (1297), (1305),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1320), (1322), (1326), (1338), (1347),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370), (1388), (1413), (1445), (1464), (1496),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596), (1762) are inconsistent by sub-proof #44.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_9_19 = e2 & op(e1, e0)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_9_14 = e2 & op(e1, e2) = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1764) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) op(e1, e2) = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1463), (1765) imply:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) $false
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1766) is inconsistent.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_19 = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e2)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1767) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_9_15 = e2 & op(e1, e1) = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1768) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_9_15 = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1295), (1596), (1769) are inconsistent by
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #99.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_9_19 = e2 & op(e1, e0) = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1770) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_9_19 = e2
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (93), (99), (101), (105),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (111), (124), (128), (142), (146), (158),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (189), (193), (206), (209), (210),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (237), (251), (252), (258), (266), (1188),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1279), (1289), (1291), (1293), (1295),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1309), (1320), (1322), (1326), (1338),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (1370), (1771) are inconsistent by
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_9_23 = e4 & op(e0, e1) = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1772) implies:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_9_23 = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1774) gives:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_9_12 = e4 & op(e1, e4) = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1460), (1775) are inconsistent by sub-proof #60.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_9_13 = e4 & op(e1, e3) = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (29), (35), (44), (55), (69), (71), (105),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (1315), (1317), (1334), (1424), (1588),
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) are inconsistent by sub-proof #11.
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (93), (99), (101),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (111), (124), (128), (133), (142),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (164), (165), (174), (177), (189),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (209), (210), (226), (237), (251),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (258), (266), (1188), (1197), (1279),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1293), (1295), (1297), (1309),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1322), (1326), (1338), (1347), (1370),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388), (1445), (1464), (1773), (1777) are
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e1) | (all_9_17 = e1 & op(e3, e0)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1778) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_9_5 = e1 & op(e3, e2) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (258), (1297), (1309), (1320), (1322),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326), (1338), (1433), (1779) are inconsistent by
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) (all_9_10 = e1 & op(e3, e1) = e1) | (all_9_17 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_9_10 = e1 & op(e3, e1) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1462), (1781) are inconsistent by sub-proof #134.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_9_17 = e1 & op(e3, e0) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1782) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_9_17 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1479), (1783) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) e4 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1784) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1785) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1786) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_6_9 = e3
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (1787) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_4_21 = e3
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1271), (1788) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1789) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (all_6_9 = e3)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1792) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_9_2 = e4 & op(e3, e4) = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1469), (1793) are inconsistent by sub-proof #132.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_9_3 = e4 & op(e3, e3) = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1794) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_9_3 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) op(e3, e3) = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (135) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1797) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_9_1 = e1 & op(e4, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1798) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_9_1 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1212), (1799) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) e1 = e0
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1800) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) e1 = e0
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (1801) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_9_3 = e1 & op(e3, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1803) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_9_3 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1795), (1804) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) e4 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1805) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1806) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e1) | (all_9_21 = e1 & op(e0, e3)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1807) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_9_7 = e1 & op(e2, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1808) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_9_7 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1403), (1809) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) e3 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1433), (1810) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_9_20 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (258), (1297), (1309), (1320), (1322),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338), (1811) are inconsistent by sub-proof #190.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) (all_9_13 = e1 & op(e1, e3) = e1) | (all_9_21 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) all_9_13 = e1 & op(e1, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1466), (1813) are inconsistent by sub-proof #117.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) all_9_21 = e1 & op(e0, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1814) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_9_21 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) op(e0, e3) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (103) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) (all_9_1 = e2 & op(e4, e3) = e2) | (all_9_3 = e2 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1817) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) all_9_1 = e2 & op(e4, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1212), (1338), (1818) are inconsistent by
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) all_9_3 = e2 & op(e3, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1819) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) all_9_3 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1795), (1820) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) e4 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1295), (1821) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1822) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) (all_9_7 = e2 & op(e2, e3) = e2) | (all_9_13 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e2) | (all_9_21 = e2 & op(e0, e3)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1823) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_9_7 = e2 & op(e2, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1824) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) op(e2, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1459), (1825) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1826) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) (all_9_13 = e2 & op(e1, e3) = e2) | (all_9_21 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1827) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_9_13 = e2 & op(e1, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1828) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) op(e1, e3) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) all_6_9 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (1830) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_4_21 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1831) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_4_21 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (1832) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_4_6 = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (1832) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_4_24 = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1834) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) ~ (all_4_24 = e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (1832) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) op(e3, e0) = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_6_24 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (1837) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) all_4_24 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1838) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_4_24 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (218), (1839) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ~ (all_4_9 = e4)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (1378), (1456), (1841) are inconsistent by
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #57.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_9_11 = e4 & op(e2, e1) = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1843) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_9_11 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1347), (1844) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) e4 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1845) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) e4 = e1
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1846) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1847) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e4)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1848) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_9_15 = e4 & op(e1, e1) = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1849) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_9_15 = e4
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (93), (99), (101),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (111), (124), (128), (142), (146),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (164), (165), (174), (177), (189), (193),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (209), (210), (226), (237), (251), (252),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (266), (1188), (1197), (1279), (1289),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291), (1293), (1295), (1297), (1309), (1320),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1347), (1370), (1388),
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) are inconsistent by sub-proof #59.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e2) | (all_9_23 = e2 & op(e0, e1)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1852) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_9_11 = e2 & op(e2, e1) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1464), (1853) are inconsistent by sub-proof #58.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_23 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e2)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1854) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_9_15 = e2 & op(e1, e1) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1855) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) all_9_15 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1850), (1856) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) e4 = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1295), (1857) imply:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) $false
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1858) is inconsistent.
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_9_23 = e2 & op(e0, e1) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1859) implies:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) op(e0, e1) = e2
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)) | (all_8_11 = e3 & ~ (all_8_10 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_45 = all_8_49) & op(all_8_45,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_10 & op(all_8_45, e2) = e3 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_10) & $i(all_8_45) & $i(all_8_49)) |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)) | (all_8_15 = e3 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_14 = e0) & ~ (all_8_47 = all_8_58) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e3) = all_8_14 & op(all_8_47, e0) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_14) & $i(all_8_47) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_17 = e2 & ~ (all_8_16 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_41 = all_8_48) & op(all_8_48,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e2 & op(all_8_48, e2) = all_8_16 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e2) = all_8_41 & op(e2, e4) = all_8_48 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_16) & $i(all_8_41) & $i(all_8_48)) |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18)
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_45) & $i(all_8_49))
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1861) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_5 = e4 & ~ (all_8_4 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_42 = all_8_52) & op(all_8_42,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_4 & op(all_8_42, e1) = e4 & op(e4,
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_4) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1862) gives:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) (all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.80/14.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_40) & $i(all_8_44)) | (all_8_3 = e4 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_2 = e2) & ~ (all_8_41 = all_8_48) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e4) = all_8_2 & op(all_8_41, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_2) & $i(all_8_41) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1863) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_8_1 = e4 & ~ (all_8_0 = e3) & ~ (all_8_40 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_40, e4) = all_8_0 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_40, e3) = e4 & op(e4, e3) = all_8_40 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e4) = all_8_44 & $i(all_8_0) & $i(all_8_40)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_44)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1864) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) op(e4, e3) = all_8_40
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) op(all_8_40, e3) = e4
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_40, e3, e4,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1454), (1865) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_8_40 = e0
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1866), (1867) imply:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) op(e0, e3) = e4
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (259), (1840), (1868) are inconsistent by
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_8_3 = e4 & ~ (all_8_2 = e2) & ~ (all_8_41 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48) & op(all_8_41, e4) = all_8_2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_41, e2) = e4 & op(e4, e2) = all_8_41 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e4) = all_8_48 & $i(all_8_2) & $i(all_8_41)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_48)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1869) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_8_41 = all_8_48)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) op(e2, e4) = all_8_48
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) op(e4, e2) = all_8_41
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1198), (1243), (1870), (1871), (1872) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) (all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)) | (all_8_7 = e4 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_6 = e0) & ~ (all_8_43 = all_8_56) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e4) = all_8_6 & op(all_8_43, e0) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_6) & $i(all_8_43) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_9 = e3 & ~ (all_8_8 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_40 = all_8_44) & op(all_8_44,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e3 & op(all_8_44, e3) = all_8_8 & op(e4,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_40 & op(e3, e4) = all_8_44 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_8) & $i(all_8_40) & $i(all_8_44))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1873) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_8_5 = e4 & ~ (all_8_4 = e1) & ~ (all_8_42 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_52) & op(all_8_42, e4) = all_8_4 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_42, e1) = e4 & op(e4, e1) = all_8_42 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e4) = all_8_52 & $i(all_8_4) & $i(all_8_42)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_52)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1874) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_8_42 = all_8_52)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e1, e4) = all_8_52
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) op(e4, e1) = all_8_42
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) op(all_8_42, e1) = e4
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (23), (29), (34), (43),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (82), (97), (105),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (124), (125), (128), (131), (139), (144),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (164), (189), (193), (206), (209),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (223), (232), (237), (251), (252), (255),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (1188), (1191), (1197), (1212), (1271),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279), (1289), (1295), (1297), (1305), (1309),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1370), (1379), (1413),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445), (1456), (1458), (1460), (1467), (1850),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875), (1876), (1877), (1878) are inconsistent by
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) (all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)) | (all_8_9 = e3 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_8 = e4) & ~ (all_8_40 = all_8_44) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_44, e4) = e3 & op(all_8_44, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8 & op(e4, e3) = all_8_40 & op(e3, e4) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1879) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_8_7 = e4 & ~ (all_8_6 = e0) & ~ (all_8_43 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56) & op(all_8_43, e4) = all_8_6 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_43, e0) = e4 & op(e4, e0) = all_8_43 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e4) = all_8_56 & $i(all_8_6) & $i(all_8_43)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_56)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1880) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_8_43 = all_8_56)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) op(e0, e4) = all_8_56
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) op(e4, e0) = all_8_43
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) op(all_8_43, e0) = e4
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (23), (29), (34),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (51), (60), (61), (70), (80), (101), (105),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (124), (125), (128), (131), (139), (144),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (158), (160), (164), (189), (193), (206), (209),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (210), (223), (232), (237), (251), (252), (255),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (266), (1188), (1189), (1190), (1191), (1197),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1246), (1271), (1279), (1289), (1305),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309), (1320), (1322), (1326), (1358), (1370),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1434), (1445), (1455), (1457), (1850),
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881), (1882), (1883), (1884) are inconsistent by
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_8_9 = e3 & ~ (all_8_8 = e4) & ~ (all_8_40 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_44) & op(all_8_44, e4) = e3 & op(all_8_44,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_8 & op(e4, e3) = all_8_40 & op(e3,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = all_8_44 & $i(all_8_8) & $i(all_8_40) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_44)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1885) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) op(e3, e4) = all_8_44
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) op(all_8_44, e4) = e3
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (93), (105), (1243), (1886), (1887) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_15 = e3 & ~ (all_8_14 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_47 = all_8_58) & op(all_8_47,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = all_8_14 & op(all_8_47, e0) = e3 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_14) & $i(all_8_47) & $i(all_8_58)) |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1888) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) (all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)) | (all_8_13 = e3 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_12 = e1) & ~ (all_8_46 = all_8_53) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e3) = all_8_12 & op(all_8_46, e1) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_12) & $i(all_8_46) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1889) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_8_11 = e3 & ~ (all_8_10 = e2) & ~ (all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_45, e3) = all_8_10 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_45, e2) = e3 & op(e3, e2) = all_8_45 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = all_8_49 & $i(all_8_10) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1890) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_8_45 = all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) op(e2, e3) = all_8_49
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) op(e3, e2) = all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1244), (1247), (1891), (1892), (1893) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_8_13 = e3 & ~ (all_8_12 = e1) & ~ (all_8_46
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_46, e3) = all_8_12 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_46, e1) = e3 & op(e3, e1) = all_8_46 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e3) = all_8_53 & $i(all_8_12) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1894) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) ~ (all_8_12 = e1)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) op(e3, e1) = all_8_46
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) op(all_8_46, e3) = all_8_12
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e0, all_8_46, e1, e3,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1379), (1896) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_8_46 = e0
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e1, all_8_12, e3, e0,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1816) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_8_12 = e1 | ~ (op(e0, e3) = all_8_12)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1897), (1898) imply:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) op(e0, e3) = all_8_12
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1899) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (op(e0, e3) = all_8_12)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1900), (1901) imply:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) $false
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1902) is inconsistent.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_8_12 = e1
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1895), (1903) imply:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) $false
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1904) is inconsistent.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) (all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)) | (all_8_17 = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_16 = e4) & ~ (all_8_41 = all_8_48) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e4) = e2 & op(all_8_48, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 & op(e4, e2) = all_8_41 & op(e2, e4) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_48 & $i(all_8_16) & $i(all_8_41) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_48)) | (all_8_19 = e2 & ~ (all_8_18 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_45 = all_8_49) & op(all_8_49,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e2 & op(all_8_49, e2) = all_8_18 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = all_8_45 & op(e2, e3) = all_8_49 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_18) & $i(all_8_45) & $i(all_8_49))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1905) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_8_15 = e3 & ~ (all_8_14 = e0) & ~ (all_8_47
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_47, e3) = all_8_14 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_47, e0) = e3 & op(e3, e0) = all_8_47 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e3) = all_8_58 & $i(all_8_14) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1906) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) ~ (all_8_47 = all_8_58)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) op(e0, e3) = all_8_58
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) op(e3, e0) = all_8_47
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1816), (1836), (1907), (1908), (1909) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) (all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_41) & $i(all_8_48)) | (all_8_19 = e2
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_18 = e3) & ~ (all_8_45 = all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_49, e3) = e2 & op(all_8_49, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 & op(e3, e2) = all_8_45 & op(e2, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_49 & $i(all_8_18) & $i(all_8_45) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_49))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1910) gives:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_8_17 = e2 & ~ (all_8_16 = e4) & ~ (all_8_41
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_48) & op(all_8_48, e4) = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_48, e2) = all_8_16 & op(e4, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_41 & op(e2, e4) = all_8_48 & $i(all_8_16) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_41) & $i(all_8_48)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1911) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_8_41 = all_8_48)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) op(e2, e4) = all_8_48
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) op(e4, e2) = all_8_41
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1198), (1243), (1912), (1913), (1914) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #29.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_8_19 = e2 & ~ (all_8_18 = e3) & ~ (all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_49) & op(all_8_49, e3) = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_49, e2) = all_8_18 & op(e3, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_45 & op(e2, e3) = all_8_49 & $i(all_8_18) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_45) & $i(all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1915) implies:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) ~ (all_8_45 = all_8_49)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) op(e2, e3) = all_8_49
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) op(e3, e2) = all_8_45
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1244), (1247), (1916), (1917), (1918) are
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25.
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54)) | (all_8_31 = e1 & ~ (all_8_30 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_55 = all_8_62) & op(all_8_55,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = all_8_30 & op(all_8_55, e0) = e1 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_30) & $i(all_8_55) & $i(all_8_62)) |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_43) & $i(all_8_56)) | (all_8_35 = e0
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_34 = e3) & ~ (all_8_47 = all_8_58)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_58, e3) = e0 & op(all_8_58, e0) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_34 & op(e3, e0) = all_8_47 & op(e0, e3) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_58 & $i(all_8_34) & $i(all_8_47) &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_58)) | (all_8_37 = e0 & ~ (all_8_36 =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_51 = all_8_60) & op(all_8_60,
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e0 & op(all_8_60, e0) = all_8_36 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e0) = all_8_51 & op(e0, e2) = all_8_60 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_36) & $i(all_8_51) & $i(all_8_60)) |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38)
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_55) & $i(all_8_62))
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_25 = e1 & ~ (all_8_24 =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_42 = all_8_52) & op(all_8_52,
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) = e1 & op(all_8_52, e1) = all_8_24 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e4, e1) = all_8_42 & op(e1, e4) = all_8_52 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_24) & $i(all_8_42) & $i(all_8_52)) |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1920) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) (all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)) | (all_8_23 = e2 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_22 = e0) & ~ (all_8_51 = all_8_60) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e2) = all_8_22 & op(all_8_51, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_22) & $i(all_8_51) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1921) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_8_21 = e2 & ~ (all_8_20 = e1) & ~ (all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_50, e2) = all_8_20 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_50, e1) = e2 & op(e2, e1) = all_8_50 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e2) = all_8_54 & $i(all_8_20) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1922) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) ~ (all_8_50 = all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) op(e1, e2) = all_8_54
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) op(e2, e1) = all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1245), (1249), (1923), (1924), (1925) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_8_23 = e2 & ~ (all_8_22 = e0) & ~ (all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_51, e2) = all_8_22 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_51, e0) = e2 & op(e2, e0) = all_8_51 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e2) = all_8_60 & $i(all_8_22) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1926) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (all_8_51 = all_8_60)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) op(e0, e2) = all_8_60
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e2, e0) = all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1246), (1250), (1927), (1928), (1929) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) (all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_42) & $i(all_8_52)) | (all_8_27 = e1
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_26 = e3) & ~ (all_8_46 = all_8_53)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_53, e3) = e1 & op(all_8_53, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_26 & op(e3, e1) = all_8_46 & op(e1, e3) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_53 & $i(all_8_26) & $i(all_8_46) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_53)) | (all_8_29 = e1 & ~ (all_8_28 =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_50 = all_8_54) & op(all_8_54,
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) = e1 & op(all_8_54, e1) = all_8_28 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e1) = all_8_50 & op(e1, e2) = all_8_54 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_28) & $i(all_8_50) & $i(all_8_54))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_8_25 = e1 & ~ (all_8_24 = e4) & ~ (all_8_42
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_52) & op(all_8_52, e4) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_52, e1) = all_8_24 & op(e4, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_42 & op(e1, e4) = all_8_52 & $i(all_8_24) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_42) & $i(all_8_52)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1931) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) ~ (all_8_42 = all_8_52)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) op(e1, e4) = all_8_52
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) op(e4, e1) = all_8_42
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) op(all_8_52, e4) = e1
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (82), (97), (105), (158),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (237), (1297), (1309), (1322), (1338),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433), (1434), (1456), (1458), (1932), (1933),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934), (1935) are inconsistent by sub-proof #18.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) (all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_46) & $i(all_8_53)) | (all_8_29 = e1
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_28 = e2) & ~ (all_8_50 = all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_54, e2) = e1 & op(all_8_54, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_28 & op(e2, e1) = all_8_50 & op(e1, e2) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_54 & $i(all_8_28) & $i(all_8_50) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_54))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_8_27 = e1 & ~ (all_8_26 = e3) & ~ (all_8_46
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_53) & op(all_8_53, e3) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_53, e1) = all_8_26 & op(e3, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_46 & op(e1, e3) = all_8_53 & $i(all_8_26) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_46) & $i(all_8_53)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1937) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_8_46 = all_8_53)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) op(e1, e3) = all_8_53
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) op(e3, e1) = all_8_46
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) op(all_8_53, e3) = e1
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (43), (70), (93), (105), (158), (193),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (237), (1244), (1309), (1320), (1379), (1433),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461), (1465), (1466), (1829), (1938), (1939),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940), (1941) are inconsistent by sub-proof #17.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_8_29 = e1 & ~ (all_8_28 = e2) & ~ (all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_54) & op(all_8_54, e2) = e1 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_54, e1) = all_8_28 & op(e2, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50 & op(e1, e2) = all_8_54 & $i(all_8_28) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_50) & $i(all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1942) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) ~ (all_8_50 = all_8_54)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) op(e1, e2) = all_8_54
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) op(e2, e1) = all_8_50
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1245), (1249), (1943), (1944), (1945) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #20.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56)) | (all_8_35 = e0 & ~ (all_8_34 =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_47 = all_8_58) & op(all_8_58,
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) = e0 & op(all_8_58, e0) = all_8_34 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e0) = all_8_47 & op(e0, e3) = all_8_58 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_34) & $i(all_8_47) & $i(all_8_58)) |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) (all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)) | (all_8_33 = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_32 = e4) & ~ (all_8_43 = all_8_56) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e4) = e0 & op(all_8_56, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32 & op(e4, e0) = all_8_43 & op(e0, e4) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56 & $i(all_8_32) & $i(all_8_43) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_56))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1947) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_8_31 = e1 & ~ (all_8_30 = e0) & ~ (all_8_55
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_55, e1) = all_8_30 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_55, e0) = e1 & op(e1, e0) = all_8_55 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e0, e1) = all_8_62 & $i(all_8_30) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1948) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) ~ (all_8_30 = e0)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) op(e1, e0) = all_8_55
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) op(all_8_55, e1) = all_8_30
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1379), (1389), (1949), (1950), (1951) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_8_33 = e0 & ~ (all_8_32 = e4) & ~ (all_8_43
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) & op(all_8_56, e4) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_56, e0) = all_8_32 & op(e4, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_43 & op(e0, e4) = all_8_56 & $i(all_8_32) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_43) & $i(all_8_56)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1952) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) op(e0, e4) = all_8_56
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) op(e4, e0) = all_8_43
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) op(all_8_56, e4) = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with e3, all_8_56, e4, e0,
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1434), (1953) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_8_56 = e3
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (84), (105), (1189), (1358), (1954), (1955),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) are inconsistent by sub-proof #15.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) (all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_47) & $i(all_8_58)) | (all_8_37 = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_36 = e2) & ~ (all_8_51 = all_8_60)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_60, e2) = e0 & op(all_8_60, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_36 & op(e2, e0) = all_8_51 & op(e0, e2) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60 & $i(all_8_36) & $i(all_8_51) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_60)) | (all_8_39 = e0 & ~ (all_8_38 =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_55 = all_8_62) & op(all_8_62,
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) = e0 & op(all_8_62, e0) = all_8_38 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e1, e0) = all_8_55 & op(e0, e1) = all_8_62 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_38) & $i(all_8_55) & $i(all_8_62))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_8_35 = e0 & ~ (all_8_34 = e3) & ~ (all_8_47
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_58) & op(all_8_58, e3) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_58, e0) = all_8_34 & op(e3, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_47 & op(e0, e3) = all_8_58 & $i(all_8_34) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_47) & $i(all_8_58)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1958) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) ~ (all_8_47 = all_8_58)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) op(e0, e3) = all_8_58
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) op(e3, e0) = all_8_47
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1816), (1836), (1959), (1960), (1961) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) (all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & $i(all_8_51) & $i(all_8_60)) | (all_8_39 = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_38 = e1) & ~ (all_8_55 = all_8_62)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(all_8_62, e1) = e0 & op(all_8_62, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_38 & op(e1, e0) = all_8_55 & op(e0, e1) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62 & $i(all_8_38) & $i(all_8_55) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_62))
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1962) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_8_37 = e0 & ~ (all_8_36 = e2) & ~ (all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) & op(all_8_60, e2) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_60, e0) = all_8_36 & op(e2, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_51 & op(e0, e2) = all_8_60 & $i(all_8_36) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_51) & $i(all_8_60)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1963) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) ~ (all_8_51 = all_8_60)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) op(e0, e2) = all_8_60
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) op(e2, e0) = all_8_51
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (1246), (1250), (1964), (1965), (1966) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_8_39 = e0 & ~ (all_8_38 = e1) & ~ (all_8_55
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) & op(all_8_62, e1) = e0 &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(all_8_62, e0) = all_8_38 & op(e1, e0) =
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55 & op(e0, e1) = all_8_62 & $i(all_8_38) &
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | $i(all_8_55) & $i(all_8_62)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1967) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) op(e0, e1) = all_8_62
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) op(all_8_62, e1) = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (105), (1245), (1860), (1968), (1969) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #14.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_9_23 = e4 & op(e0, e1) = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1970) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_9_23 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_6_6 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (1972) imply:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_4_6 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1973) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_4_6 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (1974) imply:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) ~ (all_4_8 = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1975) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_4_8 = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (105), (1460), (1976), (1977) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (80), (93), (99), (101),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (111), (124), (128), (133), (142),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (164), (165), (174), (177), (189),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (193), (206), (209), (210), (226), (237), (251),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (252), (258), (266), (1188), (1197), (1279),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1293), (1295), (1297), (1309),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1322), (1326), (1338), (1347), (1370),
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388), (1445), (1464), (1971), (1978) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) ~ (all_6_6 = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (1979) imply:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) ~ (all_4_6 = e4)
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (1796), (1980) are inconsistent by
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1176), (1230), (1426), (1835), (1981) are
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_6_9 = e2 | all_6_9 = e0
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1174), (1228), (1982) are inconsistent by
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_9_21 = e2 & op(e0, e3) = e2
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1983) implies:
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_9_21 = e2
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1815), (1984) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) e2 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (252), (1985) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_9_2 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (1295), (1297), (1320), (1322),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338), (1986) are inconsistent by sub-proof #181.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e1) = e4) | (all_9_17 = e4 & op(e3, e0)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1987) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_9_5 = e4 & op(e3, e2) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (106), (128), (140), (215), (221), (223),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269), (1271), (1277), (1297), (1988) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #65.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) (all_9_10 = e4 & op(e3, e1) = e4) | (all_9_17 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1989) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_9_10 = e4 & op(e3, e1) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (1378), (1990) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_9_17 = e4 & op(e3, e0) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1991) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_9_17 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (1295), (1297), (1320),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1338), (1357), (1992), (1993) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | (all_9_24 = e1 & op(e0, e0)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1994) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_9_18 = e1 & op(e2, e0) = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1188), (1995) are inconsistent by sub-proof
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #62.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) (all_9_19 = e1 & op(e1, e0) = e1) | (all_9_24 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1996) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_9_19 = e1 & op(e1, e0) = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1468), (1997) are inconsistent by sub-proof #61.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_9_24 = e1 & op(e0, e0) = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1998) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_9_24 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1791) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_6_9 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (157), (2000) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_4_21 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2001) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_4_21 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (238), (2002) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) ~ (all_4_6 = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (2002) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) ~ (all_4_24 = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2004) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) ~ (all_4_24 = e1)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_6_24 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (20), (2006) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_4_24 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2007) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_4_24 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (218), (2008) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_4_9 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (244), (2008) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) ~ (all_4_19 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_6_23 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (55), (2011) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_4_19 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2010), (2012) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) $false
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2013) is inconsistent.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_6_6 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (149), (2015) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_4_6 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2016) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_4_6 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (2017) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) ~ (all_4_8 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2018) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) ~ (all_4_8 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (2017) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (all_4_9 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (131) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (105), (1460), (2019), (2021) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (17), (23), (29),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (31), (34), (43), (51), (60), (61), (70), (80),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (93), (99), (101), (105), (106), (111), (124),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (125), (128), (131), (133), (139), (142), (144),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (146), (158), (160), (164), (165), (174), (177),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (193), (206), (209), (210), (219), (223),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (225), (226), (232), (237), (251), (252), (255),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (258), (259), (266), (1188), (1191), (1197),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1256), (1271), (1279), (1289), (1291),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293), (1295), (1297), (1305), (1309), (1320),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1326), (1338), (1347), (1370), (1388),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413), (1445), (1464), (1999), (2009), (2022) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #32.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) ~ (all_6_6 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (149), (2023) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) ~ (all_4_6 = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 &
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e3) = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (79), (105), (269), (2024), (2025) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4) | (all_9_21 = e4 & op(e0, e3)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2026) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_9_7 = e4 & op(e2, e3) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (105), (1258), (2027) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) (all_9_13 = e4 & op(e1, e3) = e4) | (all_9_21 = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e3) = e4)
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2028) gives:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_9_13 = e4 & op(e1, e3) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (29), (35), (44), (55), (69), (71), (105),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (163), (1315), (1317), (1334), (1424), (2014),
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) are inconsistent by sub-proof #11.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_9_21 = e4 & op(e0, e3) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) op(e0, e3) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (105), (259), (2009), (2031) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1176), (1230), (1426), (2005), (2032) are
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_6_9 = e2 | all_6_9 = e0
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (157), (1174), (1228), (2033) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) op(e3, e4) = e4
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (189), (251), (1295), (2034) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #220.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) op(e1, e0) = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (232), (1305), (2035) are inconsistent by
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_6_15 = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (38), (2036) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) e1 = e0
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2037) imply:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) $false
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2038) is inconsistent.
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) op(e1, e3) = e1
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 104.80/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (180), (1301), (2039) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) op(e1, e3) = e3
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (210), (1279), (2040) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) op(e2, e1) = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (165), (1293), (2041) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #208.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) op(e1, e2) = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (60), (1289), (2042) are inconsistent by sub-proof
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) op(e3, e1) = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (231), (1313), (2043) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #96.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) op(e3, e1) = e3
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (1269), (2044) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #199.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) op(e1, e4) = e4
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (124), (2045) are inconsistent by sub-proof
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) all_6_11 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1275), (2046) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) e3 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1388), (2047) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_9_19 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (16), (17), (29), (31), (43),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (51), (60), (61), (70), (93), (99), (101), (105),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (111), (124), (128), (142), (146), (158),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (164), (165), (189), (193), (206), (209), (210),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (226), (237), (251), (252), (258), (266), (1188),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197), (1279), (1289), (1291), (1293), (1295),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297), (1309), (1320), (1322), (1326), (1338),
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (1370), (2048) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) op(e4, e1) = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (100), (1320), (2049) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) op(e0, e4) = e4
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (219), (1256), (2050) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) op(e4, e1) = e4
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (167), (169), (2051) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) op(e0, e4) = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (162), (264), (2052) are inconsistent by sub-proof
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #93.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) (all_9_15 = e1 & op(e1, e1) = e1) | (all_9_19 = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e1)
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2053) gives:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_9_15 = e1 & op(e1, e1) = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (213), (1315), (2054) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_9_19 = e1 & op(e1, e0) = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2055) implies:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2056) op(e1, e0) = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (139), (232), (1305), (2056) are inconsistent by
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2057) all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2057) gives:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_6_20 = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (2058) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_4_4 = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2059) implies:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_4_4 = e1
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (2060) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2061) $false
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2061) is inconsistent.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_6_20 = e2 | all_6_20 = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2062) gives:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_6_20 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (2063) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2064) all_4_4 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2064) implies:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_4_4 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2065) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) $false
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2066) is inconsistent.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_6_20 = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (132), (2067) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) all_4_4 = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2068) implies:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) all_4_4 = e0
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (2069) imply:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) $false
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2070) is inconsistent.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2)
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (165), (1188), (1293), (1338), (2071) are
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3) | (all_9_18 = e3 & op(e2, e0)
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 105.06/14.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (31), (43), (60), (70), (93), (99), (105),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (128), (146), (226), (258), (1188), (1197),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1295), (1297), (1309), (1320),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (2072) are inconsistent by sub-proof #72.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2073) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) all_9_11 = e0 & op(e2, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2074) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_9_11 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1347), (2075) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) e1 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2076) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) $false
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2077) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e0)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2078) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_9_15 = e0 & op(e1, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2079) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_9_15 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (111) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 &
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e3)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_9_6 = e3 & op(e2, e4) = e3
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (93), (1309), (2082) are inconsistent by sub-proof
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) all_9_7 = e3 & op(e2, e3) = e3
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2083) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) all_9_7 = e3
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (17) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 &
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e2, e3) = e2)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2085) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) all_9_6 = e2 & op(e2, e4) = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (193), (2086) are inconsistent by sub-proof
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #210.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) all_9_7 = e2 & op(e2, e3) = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2087) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) all_9_7 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2084), (2088) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) e3 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2089) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) e3 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1297), (2090) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) $false
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2091) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2, e0)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2092) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_9_8 = e2 & op(e2, e2) = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2093) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_9_8 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 &
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | op(e3, e2) = e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_9_4 = e1 & op(e4, e2) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (258), (1197), (1295), (1297), (1309),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320), (1322), (1338), (2096) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_9_5 = e1 & op(e3, e2) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2097) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) all_9_5 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1326), (2098) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) e3 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1320), (2099) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) $false
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2100) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0, e2)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2101) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_9_8 = e1 & op(e2, e2) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (15), (43), (51), (61), (70), (93),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (101), (105), (124), (158), (189), (193), (206),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (251), (252), (258), (1295), (1297), (1320),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322), (1338), (2094), (2102) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e2) = e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2103) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_9_14 = e1 & op(e1, e2) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2104) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_9_14 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (15), (16), (23), (29), (34),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (43), (51), (60), (61), (70), (80), (93), (101),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (105), (106), (124), (125), (128), (131), (139),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (144), (158), (160), (164), (189), (193), (206),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (209), (210), (223), (232), (237), (251), (252),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (255), (258), (266), (1188), (1191), (1197),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212), (1271), (1279), (1289), (1295), (1297),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305), (1309), (1320), (1322), (1326), (1338),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370), (2080), (2094), (2105) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_9_22 = e1 & op(e0, e2) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1370), (2106) are inconsistent by sub-proof
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e0) = e2)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (142), (165), (1188), (1293), (1338), (2107) are
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e2, e1) = e3) | (all_9_18 = e3 & op(e2, e0)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (31), (43), (60), (70), (93), (99), (105),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (106), (128), (146), (226), (258), (1188), (1197),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289), (1291), (1295), (1297), (1309), (1320),
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347), (2108) are inconsistent by sub-proof #72.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_9_23 = e0 & op(e0, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2109) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) op(e0, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (156), (1334), (2110) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_9_23 = e0 & op(e0, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2111) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) op(e0, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (156), (1334), (2112) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) (all_9_15 = e1 & op(e1, e1) = e1) | (all_9_23 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e1) = e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2113) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_9_15 = e1 & op(e1, e1) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (71), (213), (1315), (2114) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_9_23 = e1 & op(e0, e1) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2115) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) op(e0, e1) = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (115) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) ~ (op(e0, e1) = e1)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (2116), (2117) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) $false
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2118) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_4_19 = e1
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1317), (2119) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) $false
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2120) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_17 = e3
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e3)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (140), (223), (1269), (1271), (2121) are
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #66.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & op(e0, e4) = e4)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) all_9_12 = e4 & op(e1, e4) = e4
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2123) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) op(e1, e4) = e4
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (124), (2124) are inconsistent by sub-proof
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_9_20 = e4 & op(e0, e4) = e4
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) op(e0, e4) = e4
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (219), (1256), (2126) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | (2127) ~ (unit = e2)
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (160), (255), (1191), (1241), (2127) are
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | (2128) all_6_4 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (160), (1173), (2128) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | (2129) (all_9_4 = e0 & op(e4, e2) = e0) | (all_9_9 = e0 &
% 105.06/14.91 | | | | | | | | | | | | | | op(e4, e1) = e0) | (all_9_16 = e0 & op(e4, e0) =
% 105.06/14.91 | | | | | | | | | | | | | | e0)
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | (2130) all_9_4 = e0 & op(e4, e2) = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | ALPHA: (2130) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | (2131) all_9_4 = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | COMBINE_EQS: (1197), (2131) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | (2132) e4 = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | SIMP: (2132) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | (2133) e4 = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | REDUCE: (101), (2133) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | (2134) $false
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | CLOSE: (2134) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | (2135) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_16 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | & op(e4, e0) = e0)
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | BETA: splitting (2135) gives:
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | (2136) all_9_9 = e0 & op(e4, e1) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | ALPHA: (2136) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | (2137) all_9_9 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | COMBINE_EQS: (80), (2137) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | (2138) e3 = e0
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | REDUCE: (258), (2138) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | (2139) $false
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | CLOSE: (2139) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | (2140) all_9_16 = e0 & op(e4, e0) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | ALPHA: (2140) implies:
% 105.06/14.91 | | | | | | | | | | | | | | | | (2141) op(e4, e0) = e0
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | PRED_UNIFY: (1189), (2141) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | | (2142) $false
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | | CLOSE: (2142) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | (2143) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_16 = e4
% 105.06/14.91 | | | | | | | | | | | | & op(e4, e0) = e4)
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | BETA: splitting (2143) gives:
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | (2144) all_9_9 = e4 & op(e4, e1) = e4
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | ALPHA: (2144) implies:
% 105.06/14.91 | | | | | | | | | | | | | (2145) op(e4, e1) = e4
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | REF_CLOSE: (93), (167), (169), (2145) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | sub-proof #177.
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | (2146) all_9_16 = e4 & op(e4, e0) = e4
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | ALPHA: (2146) implies:
% 105.06/14.91 | | | | | | | | | | | | | (2147) op(e4, e0) = e4
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | REF_CLOSE: (160), (255), (1191), (2147) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | sub-proof #52.
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | (2148) all_6_4 = e4
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | COMBINE_EQS: (160), (2148) imply:
% 105.06/14.91 | | | | | | | | | | (2149) all_4_20 = e4
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | SIMP: (2149) implies:
% 105.06/14.91 | | | | | | | | | | (2150) all_4_20 = e4
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | REDUCE: (59), (2150) imply:
% 105.06/14.91 | | | | | | | | | | (2151) ~ (all_4_10 = e4)
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | BETA: splitting (76) gives:
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | (2152) unit = e4
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | REDUCE: (272), (2152) imply:
% 105.06/14.91 | | | | | | | | | | | (2153) $false
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | CLOSE: (2153) is inconsistent.
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | (2154) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | BETA: splitting (2154) gives:
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | (2155) unit = e3
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | REDUCE: (270), (2155) imply:
% 105.06/14.91 | | | | | | | | | | | | (2156) $false
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | CLOSE: (2156) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | (2157) unit = e2 | unit = e1 | unit = e0
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | BETA: splitting (2157) gives:
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | (2158) unit = e1
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | REDUCE: (268), (2158) imply:
% 105.06/14.91 | | | | | | | | | | | | | (2159) $false
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | CLOSE: (2159) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | (2160) unit = e2 | unit = e0
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | BETA: splitting (2160) gives:
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | (2161) unit = e2
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | REDUCE: (58), (2161) imply:
% 105.06/14.91 | | | | | | | | | | | | | | (2162) op(e4, e2) = e4
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | REF_CLOSE: (92), (2151), (2162) are inconsistent by sub-proof
% 105.06/14.91 | | | | | | | | | | | | | | #178.
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | (2163) ~ (unit = e2)
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | BETA: splitting (2160) gives:
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | Case 1:
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | (2164) unit = e2
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | REDUCE: (2163), (2164) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | (2165) $false
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | CLOSE: (2165) is inconsistent.
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | (2166) unit = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | REDUCE: (37), (2166) imply:
% 105.06/14.91 | | | | | | | | | | | | | | | (2167) op(e0, e0) = e0
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | | REF_CLOSE: (20), (67), (1176), (2167) are inconsistent by
% 105.06/14.91 | | | | | | | | | | | | | | | sub-proof #90.
% 105.06/14.91 | | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | | |
% 105.06/14.91 | | | | | | | | | End of split
% 105.06/14.91 | | | | | | | | |
% 105.06/14.91 | | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | | |
% 105.06/14.91 | | | | | | | | | (2168) op(e4, e0) = e0
% 105.06/14.91 | | | | | | | | |
% 105.06/14.91 | | | | | | | | | REF_CLOSE: (24), (160), (1173), (2168) are inconsistent by
% 105.06/14.91 | | | | | | | | | sub-proof #88.
% 105.06/14.91 | | | | | | | | |
% 105.06/14.91 | | | | | | | | End of split
% 105.06/14.91 | | | | | | | |
% 105.06/14.91 | | | | | | | Case 2:
% 105.06/14.91 | | | | | | | |
% 105.06/14.91 | | | | | | | | (2169) all_9_19 = e0 & op(e1, e0) = e0
% 105.06/14.91 | | | | | | | |
% 105.06/14.91 | | | | | | | | ALPHA: (2169) implies:
% 105.06/14.91 | | | | | | | | (2170) op(e1, e0) = e0
% 105.06/14.91 | | | | | | | |
% 105.06/14.92 | | | | | | | | PRED_UNIFY: (267), (2170) imply:
% 105.06/14.92 | | | | | | | | (2171) $false
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | CLOSE: (2171) is inconsistent.
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | End of split
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | End of split
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | End of split
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | End of split
% 105.06/14.92 | | | |
% 105.06/14.92 | | | Case 2:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | (2172) op(e4, e4) = e4
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | REF_CLOSE: (13), (51), (61), (2172) are inconsistent by sub-proof #221.
% 105.06/14.92 | | | |
% 105.06/14.92 | | | End of split
% 105.06/14.92 | | |
% 105.06/14.92 | | Case 2:
% 105.06/14.92 | | |
% 105.06/14.92 | | | (2173) all_4_5 = e4
% 105.06/14.92 | | |
% 105.06/14.92 | | | REDUCE: (203), (2173) imply:
% 105.06/14.92 | | | (2174) ~ (all_4_10 = e4)
% 105.06/14.92 | | |
% 105.06/14.92 | | | SIMP: (2174) implies:
% 105.06/14.92 | | | (2175) ~ (all_4_10 = e4)
% 105.06/14.92 | | |
% 105.06/14.92 | | | REDUCE: (91), (2173) imply:
% 105.06/14.92 | | | (2176) ~ (all_4_20 = e4)
% 105.06/14.92 | | |
% 105.06/14.92 | | | SIMP: (2176) implies:
% 105.06/14.92 | | | (2177) ~ (all_4_20 = e4)
% 105.06/14.92 | | |
% 105.06/14.92 | | | BETA: splitting (77) gives:
% 105.06/14.92 | | |
% 105.06/14.92 | | | Case 1:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | (2178) ~ (op(e2, e0) = e0)
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | PRED_UNIFY: (78), (2178) imply:
% 105.06/14.92 | | | | (2179) ~ (unit = e2)
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | BETA: splitting (184) gives:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | Case 1:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | (2180) ~ (op(e4, e4) = e4)
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | PRED_UNIFY: (96), (2180) imply:
% 105.06/14.92 | | | | | (2181) ~ (unit = e4)
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | BETA: splitting (76) gives:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | Case 1:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | (2182) unit = e4
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | REDUCE: (2181), (2182) imply:
% 105.06/14.92 | | | | | | (2183) $false
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | CLOSE: (2183) is inconsistent.
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | Case 2:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | (2184) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | BETA: splitting (2184) gives:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | Case 1:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | (2185) unit = e3
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | REDUCE: (129), (2185) imply:
% 105.06/14.92 | | | | | | | (2186) op(e3, e2) = e2
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | REF_CLOSE: (31), (99), (2186) are inconsistent by sub-proof #203.
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | Case 2:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | (2187) unit = e2 | unit = e1 | unit = e0
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | BETA: splitting (2187) gives:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | (2188) unit = e1
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | REDUCE: (268), (2188) imply:
% 105.06/14.92 | | | | | | | | (2189) $false
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | CLOSE: (2189) is inconsistent.
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | (2190) unit = e2 | unit = e0
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | REF_CLOSE: (58), (160), (255), (2177), (2179), (2190) are
% 105.06/14.92 | | | | | | | | inconsistent by sub-proof #4.
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | End of split
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | End of split
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | End of split
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | Case 2:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | (2191) op(e4, e4) = e4
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | REF_CLOSE: (13), (51), (61), (2191) are inconsistent by sub-proof
% 105.06/14.92 | | | | | #221.
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | End of split
% 105.06/14.92 | | | |
% 105.06/14.92 | | | Case 2:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | (2192) all_6_14 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | COMBINE_EQS: (257), (2192) imply:
% 105.06/14.92 | | | | (2193) all_4_22 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | SIMP: (2193) implies:
% 105.06/14.92 | | | | (2194) all_4_22 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | REDUCE: (188), (2194) imply:
% 105.06/14.92 | | | | (2195) ~ (all_4_20 = e0)
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | BETA: splitting (45) gives:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | Case 1:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | (2196) all_6_4 = e4
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | REF_CLOSE: (160), (2177), (2196) are inconsistent by sub-proof #87.
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | Case 2:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | (2197) ~ (all_6_4 = e4)
% 105.06/14.92 | | | | | (2198) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | BETA: splitting (2198) gives:
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | | Case 1:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | (2199) all_6_4 = e3
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | REF_CLOSE: (21), (160), (2199) are inconsistent by sub-proof #86.
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | Case 2:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | (2200) all_6_4 = e2 | all_6_4 = e1 | all_6_4 = e0
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | BETA: splitting (2200) gives:
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | | Case 1:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | (2201) all_6_4 = e1
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | REF_CLOSE: (160), (224), (2201) are inconsistent by sub-proof #85.
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | Case 2:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | (2202) all_6_4 = e2 | all_6_4 = e0
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | BETA: splitting (2202) gives:
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | (2203) all_6_4 = e2
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | COMBINE_EQS: (160), (2203) imply:
% 105.06/14.92 | | | | | | | | (2204) all_4_20 = e2
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | SIMP: (2204) implies:
% 105.06/14.92 | | | | | | | | (2205) all_4_20 = e2
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | REDUCE: (59), (2205) imply:
% 105.06/14.92 | | | | | | | | (2206) ~ (all_4_10 = e2)
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | REDUCE: (2177), (2205) imply:
% 105.06/14.92 | | | | | | | | (2207) ~ (e4 = e2)
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | SIMP: (2207) implies:
% 105.06/14.92 | | | | | | | | (2208) ~ (e4 = e2)
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | BETA: splitting (110) gives:
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | (2209) all_6_2 = e4
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | COMBINE_EQS: (122), (2209) imply:
% 105.06/14.92 | | | | | | | | | (2210) all_4_10 = e4
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | SIMP: (2210) implies:
% 105.06/14.92 | | | | | | | | | (2211) all_4_10 = e4
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | REDUCE: (2175), (2211) imply:
% 105.06/14.92 | | | | | | | | | (2212) $false
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | CLOSE: (2212) is inconsistent.
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | (2213) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2
% 105.06/14.92 | | | | | | | | | = e0
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | BETA: splitting (2213) gives:
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | (2214) all_6_2 = e3
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | COMBINE_EQS: (122), (2214) imply:
% 105.06/14.92 | | | | | | | | | | (2215) all_4_10 = e3
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | SIMP: (2215) implies:
% 105.06/14.92 | | | | | | | | | | (2216) all_4_10 = e3
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | REDUCE: (171), (2216) imply:
% 105.06/14.92 | | | | | | | | | | (2217) $false
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | CLOSE: (2217) is inconsistent.
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | (2218) all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | BETA: splitting (2218) gives:
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | (2219) all_6_2 = e1
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | COMBINE_EQS: (122), (2219) imply:
% 105.06/14.92 | | | | | | | | | | | (2220) all_4_10 = e1
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | SIMP: (2220) implies:
% 105.06/14.92 | | | | | | | | | | | (2221) all_4_10 = e1
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | REDUCE: (243), (2221) imply:
% 105.06/14.92 | | | | | | | | | | | (2222) $false
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | CLOSE: (2222) is inconsistent.
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | (2223) all_6_2 = e2 | all_6_2 = e0
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | BETA: splitting (2223) gives:
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | (2224) all_6_2 = e2
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | COMBINE_EQS: (122), (2224) imply:
% 105.06/14.92 | | | | | | | | | | | | (2225) all_4_10 = e2
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | SIMP: (2225) implies:
% 105.06/14.92 | | | | | | | | | | | | (2226) all_4_10 = e2
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | REDUCE: (2206), (2226) imply:
% 105.06/14.92 | | | | | | | | | | | | (2227) $false
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | CLOSE: (2227) is inconsistent.
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | (2228) all_6_2 = e0
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | COMBINE_EQS: (122), (2228) imply:
% 105.06/14.92 | | | | | | | | | | | | (2229) all_4_10 = e0
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | SIMP: (2229) implies:
% 105.06/14.92 | | | | | | | | | | | | (2230) all_4_10 = e0
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | REDUCE: (95), (2230) imply:
% 105.06/14.92 | | | | | | | | | | | | (2231) ~ (all_4_14 = e0)
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | SIMP: (2231) implies:
% 105.06/14.92 | | | | | | | | | | | | (2232) ~ (all_4_14 = e0)
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | BETA: splitting (126) gives:
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | (2233) ~ (op(e4, e4) = e4)
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | PRED_UNIFY: (96), (2233) imply:
% 105.06/14.92 | | | | | | | | | | | | | (2234) ~ (unit = e4)
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | BETA: splitting (154) gives:
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | (2235) ~ (op(e3, e4) = e4)
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | PRED_UNIFY: (96), (2235) imply:
% 105.06/14.92 | | | | | | | | | | | | | | (2236) ~ (unit = e3)
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | BETA: splitting (76) gives:
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | (2237) unit = e4
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | REDUCE: (2234), (2237) imply:
% 105.06/14.92 | | | | | | | | | | | | | | | (2238) $false
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | CLOSE: (2238) is inconsistent.
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | (2239) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | BETA: splitting (2239) gives:
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | (2240) unit = e3
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | REDUCE: (2236), (2240) imply:
% 105.06/14.92 | | | | | | | | | | | | | | | | (2241) $false
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | CLOSE: (2241) is inconsistent.
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | (2242) unit = e2 | unit = e1 | unit = e0
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | BETA: splitting (2242) gives:
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | (2243) unit = e1
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | REDUCE: (268), (2243) imply:
% 105.06/14.92 | | | | | | | | | | | | | | | | | (2244) $false
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | CLOSE: (2244) is inconsistent.
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | (2245) unit = e2 | unit = e0
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | BETA: splitting (2245) gives:
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | Case 1:
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | | (2246) unit = e2
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | | REDUCE: (37), (2246) imply:
% 105.06/14.92 | | | | | | | | | | | | | | | | | | (2247) op(e0, e2) = e0
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (136), (2232), (2247) are inconsistent by
% 105.06/14.92 | | | | | | | | | | | | | | | | | | sub-proof #92.
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | | (2248) ~ (unit = e2)
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (160), (255), (2177), (2245), (2248) are
% 105.06/14.92 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 105.06/14.92 | | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | (2249) op(e3, e4) = e4
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | | REF_CLOSE: (189), (251), (2208), (2249) are inconsistent by
% 105.06/14.92 | | | | | | | | | | | | | | sub-proof #220.
% 105.06/14.92 | | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | (2250) op(e4, e4) = e4
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | | REF_CLOSE: (13), (51), (61), (2250) are inconsistent by
% 105.06/14.92 | | | | | | | | | | | | | sub-proof #221.
% 105.06/14.92 | | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | | |
% 105.06/14.92 | | | | | | | | | End of split
% 105.06/14.92 | | | | | | | | |
% 105.06/14.92 | | | | | | | | End of split
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | Case 2:
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | (2251) all_6_4 = e0
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | | REF_CLOSE: (160), (2195), (2251) are inconsistent by sub-proof
% 105.06/14.92 | | | | | | | | #89.
% 105.06/14.92 | | | | | | | |
% 105.06/14.92 | | | | | | | End of split
% 105.06/14.92 | | | | | | |
% 105.06/14.92 | | | | | | End of split
% 105.06/14.92 | | | | | |
% 105.06/14.92 | | | | | End of split
% 105.06/14.92 | | | | |
% 105.06/14.92 | | | | End of split
% 105.06/14.92 | | | |
% 105.06/14.92 | | | End of split
% 105.06/14.92 | | |
% 105.06/14.92 | | End of split
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (2252) all_4_23 = e0
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (228), (2252) imply:
% 105.06/14.92 | | (2253) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (2253) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #4 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) ~ (all_4_20 = e4)
% 105.06/14.92 (2) ~ (unit = e2)
% 105.06/14.92 (3) op(e4, unit) = e4
% 105.06/14.92 (4) unit = e2 | unit = e0
% 105.06/14.92 (5) all_6_4 = all_4_20
% 105.06/14.92 (6) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | BETA: splitting (4) gives:
% 105.06/14.92 |
% 105.06/14.92 | Case 1:
% 105.06/14.92 | |
% 105.06/14.92 | | (7) unit = e2
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (2), (7) imply:
% 105.06/14.92 | | (8) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (8) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (9) unit = e0
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (3), (9) imply:
% 105.06/14.92 | | (10) op(e4, e0) = e4
% 105.06/14.92 | |
% 105.06/14.92 | | REF_CLOSE: (1), (5), (6), (10) are inconsistent by sub-proof #52.
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #5 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) all_9_15 = e1 & op(e1, e1) = e1
% 105.06/14.92 (2) all_6_18 = e1 | ~ (op(e1, e1) = e1)
% 105.06/14.92 (3) all_6_18 = all_4_18
% 105.06/14.92 (4) ~ (all_4_18 = e1)
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | ALPHA: (1) implies:
% 105.06/14.92 | (5) op(e1, e1) = e1
% 105.06/14.92 |
% 105.06/14.92 | BETA: splitting (2) gives:
% 105.06/14.92 |
% 105.06/14.92 | Case 1:
% 105.06/14.92 | |
% 105.06/14.92 | | (6) ~ (op(e1, e1) = e1)
% 105.06/14.92 | |
% 105.06/14.92 | | PRED_UNIFY: (5), (6) imply:
% 105.06/14.92 | | (7) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (7) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (8) all_6_18 = e1
% 105.06/14.92 | |
% 105.06/14.92 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #42.
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #6 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) all_6_9 = e2 | all_6_9 = e0
% 105.06/14.92 (2) all_6_9 = all_4_21
% 105.06/14.92 (3) ~ (all_4_21 = e2)
% 105.06/14.92 (4) ~ (all_4_21 = e0)
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | BETA: splitting (1) gives:
% 105.06/14.92 |
% 105.06/14.92 | Case 1:
% 105.06/14.92 | |
% 105.06/14.92 | | (5) all_6_9 = e2
% 105.06/14.92 | |
% 105.06/14.92 | | COMBINE_EQS: (2), (5) imply:
% 105.06/14.92 | | (6) all_4_21 = e2
% 105.06/14.92 | |
% 105.06/14.92 | | SIMP: (6) implies:
% 105.06/14.92 | | (7) all_4_21 = e2
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (3), (7) imply:
% 105.06/14.92 | | (8) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (8) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (9) all_6_9 = e0
% 105.06/14.92 | |
% 105.06/14.92 | | COMBINE_EQS: (2), (9) imply:
% 105.06/14.92 | | (10) all_4_21 = e0
% 105.06/14.92 | |
% 105.06/14.92 | | SIMP: (10) implies:
% 105.06/14.92 | | (11) all_4_21 = e0
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (4), (11) imply:
% 105.06/14.92 | | (12) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (12) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #7 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0
% 105.06/14.92 (2) ~ (all_4_24 = e0)
% 105.06/14.92 (3) all_6_24 = all_4_24
% 105.06/14.92 (4) ~ (all_4_24 = e3)
% 105.06/14.92 (5) ~ (all_4_24 = e1)
% 105.06/14.92 (6) ~ (all_4_24 = e2)
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | BETA: splitting (1) gives:
% 105.06/14.92 |
% 105.06/14.92 | Case 1:
% 105.06/14.92 | |
% 105.06/14.92 | | (7) all_6_24 = e3
% 105.06/14.92 | |
% 105.06/14.92 | | COMBINE_EQS: (3), (7) imply:
% 105.06/14.92 | | (8) all_4_24 = e3
% 105.06/14.92 | |
% 105.06/14.92 | | SIMP: (8) implies:
% 105.06/14.92 | | (9) all_4_24 = e3
% 105.06/14.92 | |
% 105.06/14.92 | | REDUCE: (4), (9) imply:
% 105.06/14.92 | | (10) $false
% 105.06/14.92 | |
% 105.06/14.92 | | CLOSE: (10) is inconsistent.
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (11) all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0
% 105.06/14.92 | |
% 105.06/14.92 | | BETA: splitting (11) gives:
% 105.06/14.92 | |
% 105.06/14.92 | | Case 1:
% 105.06/14.92 | | |
% 105.06/14.92 | | | (12) all_6_24 = e1
% 105.06/14.92 | | |
% 105.06/14.92 | | | COMBINE_EQS: (3), (12) imply:
% 105.06/14.92 | | | (13) all_4_24 = e1
% 105.06/14.92 | | |
% 105.06/14.92 | | | SIMP: (13) implies:
% 105.06/14.92 | | | (14) all_4_24 = e1
% 105.06/14.92 | | |
% 105.06/14.92 | | | REDUCE: (5), (14) imply:
% 105.06/14.92 | | | (15) $false
% 105.06/14.92 | | |
% 105.06/14.92 | | | CLOSE: (15) is inconsistent.
% 105.06/14.92 | | |
% 105.06/14.92 | | Case 2:
% 105.06/14.92 | | |
% 105.06/14.92 | | | (16) all_6_24 = e2 | all_6_24 = e0
% 105.06/14.92 | | |
% 105.06/14.92 | | | BETA: splitting (16) gives:
% 105.06/14.92 | | |
% 105.06/14.92 | | | Case 1:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | (17) all_6_24 = e2
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | COMBINE_EQS: (3), (17) imply:
% 105.06/14.92 | | | | (18) all_4_24 = e2
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | SIMP: (18) implies:
% 105.06/14.92 | | | | (19) all_4_24 = e2
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | REDUCE: (6), (19) imply:
% 105.06/14.92 | | | | (20) $false
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | CLOSE: (20) is inconsistent.
% 105.06/14.92 | | | |
% 105.06/14.92 | | | Case 2:
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | (21) all_6_24 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | COMBINE_EQS: (3), (21) imply:
% 105.06/14.92 | | | | (22) all_4_24 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | SIMP: (22) implies:
% 105.06/14.92 | | | | (23) all_4_24 = e0
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | REDUCE: (2), (23) imply:
% 105.06/14.92 | | | | (24) $false
% 105.06/14.92 | | | |
% 105.06/14.92 | | | | CLOSE: (24) is inconsistent.
% 105.06/14.92 | | | |
% 105.06/14.92 | | | End of split
% 105.06/14.92 | | |
% 105.06/14.92 | | End of split
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #8 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) ~ (op(e1, e4) = e4)
% 105.06/14.92 (2) op(e1, e3) = all_4_8
% 105.06/14.92 (3) ~ (all_4_8 = e4)
% 105.06/14.92 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.92 (5) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4)
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | BETA: splitting (5) gives:
% 105.06/14.92 |
% 105.06/14.92 | Case 1:
% 105.06/14.92 | |
% 105.06/14.92 | | (6) all_9_12 = e4 & op(e1, e4) = e4
% 105.06/14.92 | |
% 105.06/14.92 | | REF_CLOSE: (1), (6) are inconsistent by sub-proof #60.
% 105.06/14.92 | |
% 105.06/14.92 | Case 2:
% 105.06/14.92 | |
% 105.06/14.92 | | (7) all_9_13 = e4 & op(e1, e3) = e4
% 105.06/14.92 | |
% 105.06/14.92 | | ALPHA: (7) implies:
% 105.06/14.92 | | (8) op(e1, e3) = e4
% 105.06/14.92 | |
% 105.06/14.92 | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #160.
% 105.06/14.92 | |
% 105.06/14.92 | End of split
% 105.06/14.92 |
% 105.06/14.92 End of proof
% 105.06/14.92
% 105.06/14.92 Sub-proof #9 shows that the following formulas are inconsistent:
% 105.06/14.92 ----------------------------------------------------------------
% 105.06/14.92 (1) ~ (all_8_47 = all_8_58)
% 105.06/14.92 (2) op(e3, e0) = e1
% 105.06/14.92 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.92 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.92 (4) op(e0, e3) = e1
% 105.06/14.92 (5) op(e0, e3) = all_8_58
% 105.06/14.92 (6) op(e3, e0) = all_8_47
% 105.06/14.92
% 105.06/14.92 Begin of proof
% 105.06/14.92 |
% 105.06/14.92 | GROUND_INST: instantiating (3) with e1, all_8_58, e3, e0, simplifying with
% 105.06/14.92 | (4), (5) gives:
% 105.06/14.92 | (7) all_8_58 = e1
% 105.06/14.92 |
% 105.06/14.92 | GROUND_INST: instantiating (3) with e1, all_8_47, e0, e3, simplifying with
% 105.06/14.92 | (2), (6) gives:
% 105.06/14.92 | (8) all_8_47 = e1
% 105.06/14.92 |
% 105.06/14.92 | REDUCE: (1), (7), (8) imply:
% 105.06/14.92 | (9) $false
% 105.06/14.92 |
% 105.06/14.92 | CLOSE: (9) is inconsistent.
% 105.06/14.92 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #10 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) ~ (all_4_8 = e3)
% 105.06/14.93 (2) all_6_0 = e1
% 105.06/14.93 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.06/14.93 (4) all_9_12 = e0
% 105.06/14.93 (5) ~ (e1 = e0)
% 105.06/14.93 (6) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.06/14.93 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.06/14.93 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.06/14.93 (7) ~ (all_4_18 = e3)
% 105.06/14.93 (8) ~ (all_4_11 = e2)
% 105.06/14.93 (9) all_9_19 = e3
% 105.06/14.93 (10) op(e4, e4) = e1
% 105.06/14.93 (11) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.06/14.93 (12) ~ (all_4_14 = e2)
% 105.06/14.93 (13) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.06/14.93 (14) ~ (e4 = e1)
% 105.06/14.93 (15) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.06/14.93 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.06/14.93 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.06/14.93 (16) all_9_23 = e4
% 105.06/14.93 (17) ~ (all_4_17 = e2)
% 105.06/14.93 (18) all_9_9 = e3
% 105.06/14.93 (19) all_9_11 = e1
% 105.06/14.93 (20) all_9_4 = e4
% 105.06/14.93 (21) all_9_22 = e0
% 105.06/14.93 (22) ~ (e4 = e3)
% 105.06/14.93 (23) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.06/14.93 (24) ~ (e4 = e0)
% 105.06/14.93 (25) all_9_6 = e4
% 105.06/14.93 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.93 (27) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.06/14.93 (28) ~ (e2 = e0)
% 105.06/14.93 (29) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.06/14.93 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.06/14.93 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.06/14.93 (30) ~ (e3 = e1)
% 105.06/14.93 (31) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.06/14.93 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.06/14.93 (32) ~ (e3 = e2)
% 105.06/14.93 (33) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.06/14.93 (34) ~ (op(e2, e1) = e2)
% 105.06/14.93 (35) ~ (e2 = e1)
% 105.06/14.93 (36) all_9_5 = e3
% 105.06/14.93 (37) all_6_5 = e2
% 105.06/14.93 (38) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.06/14.93 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.06/14.93 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.06/14.93 (39) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.06/14.93 (40) all_9_14 = e1
% 105.06/14.93 (41) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.06/14.93 (42) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.06/14.93 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.06/14.93 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.06/14.93 (43) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.06/14.93 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.06/14.93 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.06/14.93 (44) all_6_13 = all_4_17
% 105.06/14.93 (45) op(e3, e1) = all_4_16
% 105.06/14.93 (46) ~ (all_4_16 = e2)
% 105.06/14.93 (47) ~ (all_4_13 = e2)
% 105.06/14.93 (48) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.06/14.93 (49) all_9_18 = e0
% 105.06/14.93 (50) ~ (all_4_2 = e2)
% 105.06/14.93 (51) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.06/14.93 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.06/14.93 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.06/14.93 (52) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.06/14.93 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.06/14.93 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.06/14.93 (53) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.06/14.93 (54) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.06/14.93 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.06/14.93 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.06/14.93 (55) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.06/14.93 (56) all_4_1 = e2
% 105.06/14.93 (57) all_9_2 = e2
% 105.06/14.93 (58) ~ (e3 = e0)
% 105.06/14.93 (59) ~ (e4 = e2)
% 105.06/14.93 (60) op(e1, e1) = all_4_18
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | BETA: splitting (31) gives:
% 105.06/14.93 |
% 105.06/14.93 | Case 1:
% 105.06/14.93 | |
% 105.06/14.93 | | (61) all_9_14 = e4 & op(e1, e2) = e4
% 105.06/14.93 | |
% 105.06/14.93 | | REF_CLOSE: (14), (40), (61) are inconsistent by sub-proof #34.
% 105.06/14.93 | |
% 105.06/14.93 | Case 2:
% 105.06/14.93 | |
% 105.06/14.93 | | (62) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0) =
% 105.06/14.93 | | e4)
% 105.06/14.93 | |
% 105.06/14.93 | | BETA: splitting (62) gives:
% 105.06/14.93 | |
% 105.06/14.93 | | Case 1:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (63) all_9_15 = e4 & op(e1, e1) = e4
% 105.06/14.93 | | |
% 105.06/14.93 | | | ALPHA: (63) implies:
% 105.06/14.93 | | | (64) all_9_15 = e4
% 105.06/14.93 | | |
% 105.06/14.93 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 105.06/14.93 | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 105.06/14.93 | | | (23), (24), (25), (26), (27), (28), (29), (30), (32), (33),
% 105.06/14.93 | | | (34), (35), (36), (37), (38), (39), (41), (42), (43), (44),
% 105.06/14.93 | | | (45), (46), (47), (48), (49), (50), (51), (52), (53), (54),
% 105.06/14.93 | | | (55), (56), (57), (58), (59), (60), (64) are inconsistent by
% 105.06/14.93 | | | sub-proof #45.
% 105.06/14.93 | | |
% 105.06/14.93 | | Case 2:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (65) all_9_19 = e4 & op(e1, e0) = e4
% 105.06/14.93 | | |
% 105.06/14.93 | | | REF_CLOSE: (9), (22), (65) are inconsistent by sub-proof #33.
% 105.06/14.93 | | |
% 105.06/14.93 | | End of split
% 105.06/14.93 | |
% 105.06/14.93 | End of split
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #11 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0
% 105.06/14.93 (2) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18
% 105.06/14.93 = e0
% 105.06/14.93 (3) ~ (all_4_18 = e3)
% 105.06/14.93 (4) ~ (all_4_18 = e0)
% 105.06/14.93 (5) op(e1, e3) = all_4_8
% 105.06/14.93 (6) all_6_23 = all_4_19
% 105.06/14.93 (7) ~ (all_4_18 = all_4_19)
% 105.06/14.93 (8) all_6_18 = all_4_18
% 105.06/14.93 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.93 (10) ~ (all_4_19 = e3)
% 105.06/14.93 (11) ~ (all_4_18 = e1)
% 105.06/14.93 (12) ~ (all_4_8 = all_4_18)
% 105.06/14.93 (13) all_9_13 = e4 & op(e1, e3) = e4
% 105.06/14.93 (14) ~ (all_4_19 = e0)
% 105.06/14.93 (15) ~ (all_4_19 = e1)
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | ALPHA: (13) implies:
% 105.06/14.93 | (16) op(e1, e3) = e4
% 105.06/14.93 |
% 105.06/14.93 | BETA: splitting (1) gives:
% 105.06/14.93 |
% 105.06/14.93 | Case 1:
% 105.06/14.93 | |
% 105.06/14.93 | | (17) all_6_23 = e3
% 105.06/14.93 | |
% 105.06/14.93 | | REF_CLOSE: (6), (10), (17) are inconsistent by sub-proof #31.
% 105.06/14.93 | |
% 105.06/14.93 | Case 2:
% 105.06/14.93 | |
% 105.06/14.93 | | (18) all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0
% 105.06/14.93 | |
% 105.06/14.93 | | BETA: splitting (18) gives:
% 105.06/14.93 | |
% 105.06/14.93 | | Case 1:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (19) all_6_23 = e1
% 105.06/14.93 | | |
% 105.06/14.93 | | | REF_CLOSE: (6), (15), (19) are inconsistent by sub-proof #30.
% 105.06/14.93 | | |
% 105.06/14.93 | | Case 2:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (20) all_6_23 = e2 | all_6_23 = e0
% 105.06/14.93 | | |
% 105.06/14.93 | | | BETA: splitting (20) gives:
% 105.06/14.93 | | |
% 105.06/14.93 | | | Case 1:
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | (21) all_6_23 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | COMBINE_EQS: (6), (21) imply:
% 105.06/14.93 | | | | (22) all_4_19 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | SIMP: (22) implies:
% 105.06/14.93 | | | | (23) all_4_19 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | REDUCE: (7), (23) imply:
% 105.06/14.93 | | | | (24) ~ (all_4_18 = e2)
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | BETA: splitting (2) gives:
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | Case 1:
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | (25) all_6_18 = e4
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | COMBINE_EQS: (8), (25) imply:
% 105.06/14.93 | | | | | (26) all_4_18 = e4
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | SIMP: (26) implies:
% 105.06/14.93 | | | | | (27) all_4_18 = e4
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | REDUCE: (12), (27) imply:
% 105.06/14.93 | | | | | (28) ~ (all_4_8 = e4)
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | REF_CLOSE: (5), (9), (16), (28) are inconsistent by sub-proof #160.
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | Case 2:
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | (29) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | | REF_CLOSE: (3), (4), (8), (11), (24), (29) are inconsistent by
% 105.06/14.93 | | | | | sub-proof #13.
% 105.06/14.93 | | | | |
% 105.06/14.93 | | | | End of split
% 105.06/14.93 | | | |
% 105.06/14.93 | | | Case 2:
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | (30) all_6_23 = e0
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | REF_CLOSE: (6), (14), (30) are inconsistent by sub-proof #12.
% 105.06/14.93 | | | |
% 105.06/14.93 | | | End of split
% 105.06/14.93 | | |
% 105.06/14.93 | | End of split
% 105.06/14.93 | |
% 105.06/14.93 | End of split
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #12 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) all_6_23 = all_4_19
% 105.06/14.93 (2) all_6_23 = e0
% 105.06/14.93 (3) ~ (all_4_19 = e0)
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | COMBINE_EQS: (1), (2) imply:
% 105.06/14.93 | (4) all_4_19 = e0
% 105.06/14.93 |
% 105.06/14.93 | SIMP: (4) implies:
% 105.06/14.93 | (5) all_4_19 = e0
% 105.06/14.93 |
% 105.06/14.93 | REDUCE: (3), (5) imply:
% 105.06/14.93 | (6) $false
% 105.06/14.93 |
% 105.06/14.93 | CLOSE: (6) is inconsistent.
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #13 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) ~ (all_4_18 = e3)
% 105.06/14.93 (2) ~ (all_4_18 = e0)
% 105.06/14.93 (3) all_6_18 = all_4_18
% 105.06/14.93 (4) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.06/14.93 (5) ~ (all_4_18 = e1)
% 105.06/14.93 (6) ~ (all_4_18 = e2)
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | BETA: splitting (4) gives:
% 105.06/14.93 |
% 105.06/14.93 | Case 1:
% 105.06/14.93 | |
% 105.06/14.93 | | (7) all_6_18 = e3
% 105.06/14.93 | |
% 105.06/14.93 | | COMBINE_EQS: (3), (7) imply:
% 105.06/14.93 | | (8) all_4_18 = e3
% 105.06/14.93 | |
% 105.06/14.93 | | SIMP: (8) implies:
% 105.06/14.93 | | (9) all_4_18 = e3
% 105.06/14.93 | |
% 105.06/14.93 | | REDUCE: (1), (9) imply:
% 105.06/14.93 | | (10) $false
% 105.06/14.93 | |
% 105.06/14.93 | | CLOSE: (10) is inconsistent.
% 105.06/14.93 | |
% 105.06/14.93 | Case 2:
% 105.06/14.93 | |
% 105.06/14.93 | | (11) all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.06/14.93 | |
% 105.06/14.93 | | BETA: splitting (11) gives:
% 105.06/14.93 | |
% 105.06/14.93 | | Case 1:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (12) all_6_18 = e1
% 105.06/14.93 | | |
% 105.06/14.93 | | | REF_CLOSE: (3), (5), (12) are inconsistent by sub-proof #42.
% 105.06/14.93 | | |
% 105.06/14.93 | | Case 2:
% 105.06/14.93 | | |
% 105.06/14.93 | | | (13) all_6_18 = e2 | all_6_18 = e0
% 105.06/14.93 | | |
% 105.06/14.93 | | | BETA: splitting (13) gives:
% 105.06/14.93 | | |
% 105.06/14.93 | | | Case 1:
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | (14) all_6_18 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | COMBINE_EQS: (3), (14) imply:
% 105.06/14.93 | | | | (15) all_4_18 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | SIMP: (15) implies:
% 105.06/14.93 | | | | (16) all_4_18 = e2
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | REDUCE: (6), (16) imply:
% 105.06/14.93 | | | | (17) $false
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | CLOSE: (17) is inconsistent.
% 105.06/14.93 | | | |
% 105.06/14.93 | | | Case 2:
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | (18) all_6_18 = e0
% 105.06/14.93 | | | |
% 105.06/14.93 | | | | REF_CLOSE: (2), (3), (18) are inconsistent by sub-proof #40.
% 105.06/14.93 | | | |
% 105.06/14.93 | | | End of split
% 105.06/14.93 | | |
% 105.06/14.93 | | End of split
% 105.06/14.93 | |
% 105.06/14.93 | End of split
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #14 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) ~ (e1 = e0)
% 105.06/14.93 (2) op(e0, e1) = all_8_62
% 105.06/14.93 (3) op(e0, e1) = e2
% 105.06/14.93 (4) op(all_8_62, e1) = e0
% 105.06/14.93 (5) op(e2, e1) = e1
% 105.06/14.93 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | GROUND_INST: instantiating (6) with e2, all_8_62, e1, e0, simplifying with
% 105.06/14.93 | (2), (3) gives:
% 105.06/14.93 | (7) all_8_62 = e2
% 105.06/14.93 |
% 105.06/14.93 | GROUND_INST: instantiating (6) with e1, e0, e1, e2, simplifying with (5)
% 105.06/14.93 | gives:
% 105.06/14.93 | (8) e1 = e0 | ~ (op(e2, e1) = e0)
% 105.06/14.93 |
% 105.06/14.93 | REDUCE: (4), (7) imply:
% 105.06/14.93 | (9) op(e2, e1) = e0
% 105.06/14.93 |
% 105.06/14.93 | BETA: splitting (8) gives:
% 105.06/14.93 |
% 105.06/14.93 | Case 1:
% 105.06/14.93 | |
% 105.06/14.93 | | (10) ~ (op(e2, e1) = e0)
% 105.06/14.93 | |
% 105.06/14.93 | | PRED_UNIFY: (9), (10) imply:
% 105.06/14.93 | | (11) $false
% 105.06/14.93 | |
% 105.06/14.93 | | CLOSE: (11) is inconsistent.
% 105.06/14.93 | |
% 105.06/14.93 | Case 2:
% 105.06/14.93 | |
% 105.06/14.93 | | (12) e1 = e0
% 105.06/14.93 | |
% 105.06/14.93 | | REDUCE: (1), (12) imply:
% 105.06/14.93 | | (13) $false
% 105.06/14.93 | |
% 105.06/14.93 | | CLOSE: (13) is inconsistent.
% 105.06/14.93 | |
% 105.06/14.93 | End of split
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #15 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) op(e4, e0) = e2
% 105.06/14.93 (2) op(e3, e4) = e2
% 105.06/14.93 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.93 (4) op(e4, e0) = all_8_43
% 105.06/14.93 (5) all_8_56 = e3
% 105.06/14.93 (6) op(all_8_56, e4) = e0
% 105.06/14.93 (7) ~ (op(e4, e0) = e0)
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | GROUND_INST: instantiating (3) with e2, all_8_43, e0, e4, simplifying with
% 105.06/14.93 | (1), (4) gives:
% 105.06/14.93 | (8) all_8_43 = e2
% 105.06/14.93 |
% 105.06/14.93 | PRED_UNIFY: (4), (7) imply:
% 105.06/14.93 | (9) ~ (all_8_43 = e0)
% 105.06/14.93 |
% 105.06/14.93 | REDUCE: (8), (9) imply:
% 105.06/14.93 | (10) ~ (e2 = e0)
% 105.06/14.93 |
% 105.06/14.93 | REDUCE: (5), (6) imply:
% 105.06/14.93 | (11) op(e3, e4) = e0
% 105.06/14.93 |
% 105.06/14.93 | REF_CLOSE: (2), (3), (10), (11) are inconsistent by sub-proof #223.
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #16 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) op(all_8_55, e1) = all_8_30
% 105.06/14.93 (2) op(e3, e1) = e0
% 105.06/14.93 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.93 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.93 (4) op(e1, e0) = all_8_55
% 105.06/14.93 (5) op(e1, e0) = e3
% 105.06/14.93 (6) ~ (all_8_30 = e0)
% 105.06/14.93
% 105.06/14.93 Begin of proof
% 105.06/14.93 |
% 105.06/14.93 | GROUND_INST: instantiating (3) with e3, all_8_55, e0, e1, simplifying with
% 105.06/14.93 | (4), (5) gives:
% 105.06/14.93 | (7) all_8_55 = e3
% 105.06/14.93 |
% 105.06/14.93 | GROUND_INST: instantiating (3) with e0, all_8_30, e1, e3, simplifying with (2)
% 105.06/14.93 | gives:
% 105.06/14.93 | (8) all_8_30 = e0 | ~ (op(e3, e1) = all_8_30)
% 105.06/14.93 |
% 105.06/14.93 | REDUCE: (1), (7) imply:
% 105.06/14.93 | (9) op(e3, e1) = all_8_30
% 105.06/14.93 |
% 105.06/14.93 | BETA: splitting (8) gives:
% 105.06/14.93 |
% 105.06/14.93 | Case 1:
% 105.06/14.93 | |
% 105.06/14.93 | | (10) ~ (op(e3, e1) = all_8_30)
% 105.06/14.93 | |
% 105.06/14.93 | | PRED_UNIFY: (9), (10) imply:
% 105.06/14.93 | | (11) $false
% 105.06/14.93 | |
% 105.06/14.93 | | CLOSE: (11) is inconsistent.
% 105.06/14.93 | |
% 105.06/14.93 | Case 2:
% 105.06/14.93 | |
% 105.06/14.93 | | (12) all_8_30 = e0
% 105.06/14.93 | |
% 105.06/14.93 | | REDUCE: (6), (12) imply:
% 105.06/14.93 | | (13) $false
% 105.06/14.93 | |
% 105.06/14.93 | | CLOSE: (13) is inconsistent.
% 105.06/14.93 | |
% 105.06/14.93 | End of split
% 105.06/14.93 |
% 105.06/14.93 End of proof
% 105.06/14.93
% 105.06/14.93 Sub-proof #17 shows that the following formulas are inconsistent:
% 105.06/14.93 ----------------------------------------------------------------
% 105.06/14.93 (1) op(all_8_53, e3) = e1
% 105.06/14.93 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.06/14.93 (3) all_9_12 = e0
% 105.06/14.93 (4) op(e3, e1) = e0
% 105.06/14.93 (5) op(e1, e3) = all_8_53
% 105.06/14.93 (6) op(e4, e4) = e1
% 105.06/14.93 (7) ~ (all_8_46 = all_8_53)
% 105.06/14.93 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.06/14.93 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.06/14.93 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.06/14.93 (9) ~ (op(e1, e3) = e3)
% 105.06/14.93 (10) ~ (e4 = e3)
% 105.06/14.93 (11) op(e1, e3) = e2
% 105.06/14.93 (12) all_9_6 = e4
% 105.06/14.94 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.94 (14) ~ (e3 = e1)
% 105.06/14.94 (15) op(e3, e1) = all_8_46
% 105.06/14.94 (16) all_9_20 = e3
% 105.06/14.94 (17) ~ (op(e3, e1) = e3)
% 105.06/14.94 (18) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.06/14.94 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.06/14.94 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.06/14.94 (19) ~ (op(e1, e3) = e1)
% 105.06/14.94 (20) ~ (all_4_2 = e2)
% 105.06/14.94 (21) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.06/14.94 (22) op(e2, e3) = e3
% 105.06/14.94
% 105.06/14.94 Begin of proof
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (13) with e2, all_8_53, e3, e1, simplifying with
% 105.06/14.94 | (5), (11) gives:
% 105.06/14.94 | (23) all_8_53 = e2
% 105.06/14.94 |
% 105.06/14.94 | PRED_UNIFY: (5), (9) imply:
% 105.06/14.94 | (24) ~ (all_8_53 = e3)
% 105.06/14.94 |
% 105.06/14.94 | PRED_UNIFY: (5), (19) imply:
% 105.06/14.94 | (25) ~ (all_8_53 = e1)
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (13) with e0, all_8_46, e1, e3, simplifying with
% 105.06/14.94 | (4), (15) gives:
% 105.06/14.94 | (26) all_8_46 = e0
% 105.06/14.94 |
% 105.06/14.94 | PRED_UNIFY: (15), (17) imply:
% 105.06/14.94 | (27) ~ (all_8_46 = e3)
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (13) with e3, e1, e3, e2, simplifying with (22)
% 105.06/14.94 | gives:
% 105.06/14.94 | (28) e3 = e1 | ~ (op(e2, e3) = e1)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (7), (23), (26) imply:
% 105.06/14.94 | (29) ~ (e2 = e0)
% 105.06/14.94 |
% 105.06/14.94 | SIMP: (29) implies:
% 105.06/14.94 | (30) ~ (e2 = e0)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (26), (27) imply:
% 105.06/14.94 | (31) ~ (e3 = e0)
% 105.06/14.94 |
% 105.06/14.94 | SIMP: (31) implies:
% 105.06/14.94 | (32) ~ (e3 = e0)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (23), (24) imply:
% 105.06/14.94 | (33) ~ (e3 = e2)
% 105.06/14.94 |
% 105.06/14.94 | SIMP: (33) implies:
% 105.06/14.94 | (34) ~ (e3 = e2)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (23), (25) imply:
% 105.06/14.94 | (35) ~ (e2 = e1)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (1), (23) imply:
% 105.06/14.94 | (36) op(e2, e3) = e1
% 105.06/14.94 |
% 105.06/14.94 | BETA: splitting (28) gives:
% 105.06/14.94 |
% 105.06/14.94 | Case 1:
% 105.06/14.94 | |
% 105.06/14.94 | | (37) ~ (op(e2, e3) = e1)
% 105.06/14.94 | |
% 105.06/14.94 | | PRED_UNIFY: (36), (37) imply:
% 105.06/14.94 | | (38) $false
% 105.06/14.94 | |
% 105.06/14.94 | | CLOSE: (38) is inconsistent.
% 105.06/14.94 | |
% 105.06/14.94 | Case 2:
% 105.06/14.94 | |
% 105.06/14.94 | | (39) e3 = e1
% 105.06/14.94 | |
% 105.06/14.94 | | COMBINE_EQS: (16), (39) imply:
% 105.06/14.94 | | (40) all_9_20 = e1
% 105.06/14.94 | |
% 105.06/14.94 | | REF_CLOSE: (2), (3), (6), (8), (10), (12), (13), (14), (18), (20), (21),
% 105.06/14.94 | | (30), (32), (34), (35), (40) are inconsistent by sub-proof #190.
% 105.06/14.94 | |
% 105.06/14.94 | End of split
% 105.06/14.94 |
% 105.06/14.94 End of proof
% 105.06/14.94
% 105.06/14.94 Sub-proof #18 shows that the following formulas are inconsistent:
% 105.06/14.94 ----------------------------------------------------------------
% 105.06/14.94 (1) ~ (op(e4, e1) = e4)
% 105.06/14.94 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.06/14.94 (3) all_9_12 = e0
% 105.06/14.94 (4) op(e4, e4) = e1
% 105.06/14.94 (5) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.06/14.94 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.06/14.94 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.06/14.94 (6) op(e1, e4) = all_8_52
% 105.06/14.94 (7) op(e4, e1) = e3
% 105.06/14.94 (8) op(e1, e4) = e0
% 105.06/14.94 (9) all_9_6 = e4
% 105.06/14.94 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.94 (11) ~ (e2 = e0)
% 105.06/14.94 (12) op(e0, e4) = e3
% 105.06/14.94 (13) ~ (e3 = e2)
% 105.06/14.94 (14) ~ (e2 = e1)
% 105.06/14.94 (15) all_9_20 = e3
% 105.06/14.94 (16) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.06/14.94 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.06/14.94 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.06/14.94 (17) op(e4, e1) = all_8_42
% 105.06/14.94 (18) ~ (all_4_2 = e2)
% 105.06/14.94 (19) ~ (op(e4, e1) = e1)
% 105.06/14.94 (20) ~ (all_8_42 = all_8_52)
% 105.06/14.94 (21) op(all_8_52, e4) = e1
% 105.06/14.94 (22) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.06/14.94
% 105.06/14.94 Begin of proof
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (10) with e0, all_8_52, e4, e1, simplifying with
% 105.06/14.94 | (6), (8) gives:
% 105.06/14.94 | (23) all_8_52 = e0
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (10) with e3, all_8_42, e1, e4, simplifying with
% 105.06/14.94 | (7), (17) gives:
% 105.06/14.94 | (24) all_8_42 = e3
% 105.06/14.94 |
% 105.06/14.94 | PRED_UNIFY: (1), (17) imply:
% 105.06/14.94 | (25) ~ (all_8_42 = e4)
% 105.06/14.94 |
% 105.06/14.94 | PRED_UNIFY: (17), (19) imply:
% 105.06/14.94 | (26) ~ (all_8_42 = e1)
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (10) with e3, e1, e4, e0, simplifying with (12)
% 105.06/14.94 | gives:
% 105.06/14.94 | (27) e3 = e1 | ~ (op(e0, e4) = e1)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (20), (23), (24) imply:
% 105.06/14.94 | (28) ~ (e3 = e0)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (24), (25) imply:
% 105.06/14.94 | (29) ~ (e4 = e3)
% 105.06/14.94 |
% 105.06/14.94 | SIMP: (29) implies:
% 105.06/14.94 | (30) ~ (e4 = e3)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (24), (26) imply:
% 105.06/14.94 | (31) ~ (e3 = e1)
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (21), (23) imply:
% 105.06/14.94 | (32) op(e0, e4) = e1
% 105.06/14.94 |
% 105.06/14.94 | BETA: splitting (27) gives:
% 105.06/14.94 |
% 105.06/14.94 | Case 1:
% 105.06/14.94 | |
% 105.06/14.94 | | (33) ~ (op(e0, e4) = e1)
% 105.06/14.94 | |
% 105.06/14.94 | | PRED_UNIFY: (32), (33) imply:
% 105.06/14.94 | | (34) $false
% 105.06/14.94 | |
% 105.06/14.94 | | CLOSE: (34) is inconsistent.
% 105.06/14.94 | |
% 105.06/14.94 | Case 2:
% 105.06/14.94 | |
% 105.06/14.94 | | (35) e3 = e1
% 105.06/14.94 | |
% 105.06/14.94 | | COMBINE_EQS: (15), (35) imply:
% 105.06/14.94 | | (36) all_9_20 = e1
% 105.06/14.94 | |
% 105.06/14.94 | | REF_CLOSE: (2), (3), (4), (5), (9), (10), (11), (13), (14), (16), (18),
% 105.06/14.94 | | (22), (28), (30), (31), (36) are inconsistent by sub-proof #190.
% 105.06/14.94 | |
% 105.06/14.94 | End of split
% 105.06/14.94 |
% 105.06/14.94 End of proof
% 105.06/14.94
% 105.06/14.94 Sub-proof #19 shows that the following formulas are inconsistent:
% 105.06/14.94 ----------------------------------------------------------------
% 105.06/14.94 (1) ~ (all_8_51 = all_8_60)
% 105.06/14.94 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.94 (3) op(e2, e0) = all_8_51
% 105.06/14.94 (4) op(e0, e2) = all_8_60
% 105.06/14.94 (5) op(e0, e2) = e0
% 105.06/14.94 (6) op(e2, e0) = e0
% 105.06/14.94
% 105.06/14.94 Begin of proof
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (2) with e0, all_8_60, e2, e0, simplifying with
% 105.06/14.94 | (4), (5) gives:
% 105.06/14.94 | (7) all_8_60 = e0
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (2) with e0, all_8_51, e0, e2, simplifying with
% 105.06/14.94 | (3), (6) gives:
% 105.06/14.94 | (8) all_8_51 = e0
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (1), (7), (8) imply:
% 105.06/14.94 | (9) $false
% 105.06/14.94 |
% 105.06/14.94 | CLOSE: (9) is inconsistent.
% 105.06/14.94 |
% 105.06/14.94 End of proof
% 105.06/14.94
% 105.06/14.94 Sub-proof #20 shows that the following formulas are inconsistent:
% 105.06/14.94 ----------------------------------------------------------------
% 105.06/14.94 (1) ~ (all_8_50 = all_8_54)
% 105.06/14.94 (2) op(e2, e1) = e1
% 105.06/14.94 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.94 (4) op(e1, e2) = e1
% 105.06/14.94 (5) op(e2, e1) = all_8_50
% 105.06/14.94 (6) op(e1, e2) = all_8_54
% 105.06/14.94
% 105.06/14.94 Begin of proof
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (3) with e1, all_8_54, e2, e1, simplifying with
% 105.06/14.94 | (4), (6) gives:
% 105.06/14.94 | (7) all_8_54 = e1
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (3) with e1, all_8_50, e1, e2, simplifying with
% 105.06/14.94 | (2), (5) gives:
% 105.06/14.94 | (8) all_8_50 = e1
% 105.06/14.94 |
% 105.06/14.94 | REDUCE: (1), (7), (8) imply:
% 105.06/14.94 | (9) $false
% 105.06/14.94 |
% 105.06/14.94 | CLOSE: (9) is inconsistent.
% 105.06/14.94 |
% 105.06/14.94 End of proof
% 105.06/14.94
% 105.06/14.94 Sub-proof #21 shows that the following formulas are inconsistent:
% 105.06/14.94 ----------------------------------------------------------------
% 105.06/14.94 (1) ~ (all_8_47 = all_8_58)
% 105.06/14.94 (2) op(e3, e0) = e4
% 105.06/14.94 (3) op(e0, e3) = e4
% 105.06/14.94 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.06/14.94 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.06/14.94 (5) op(e0, e3) = all_8_58
% 105.06/14.94 (6) op(e3, e0) = all_8_47
% 105.06/14.94
% 105.06/14.94 Begin of proof
% 105.06/14.94 |
% 105.06/14.94 | GROUND_INST: instantiating (4) with e4, all_8_58, e3, e0, simplifying with
% 105.06/14.94 | (3), (5) gives:
% 105.06/14.94 | (7) all_8_58 = e4
% 105.06/14.94 |
% 105.31/14.96 | GROUND_INST: instantiating (4) with e4, all_8_47, e0, e3, simplifying with
% 105.31/14.96 | (2), (6) gives:
% 105.31/14.96 | (8) all_8_47 = e4
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (1), (7), (8) imply:
% 105.31/14.96 | (9) $false
% 105.31/14.96 |
% 105.31/14.96 | CLOSE: (9) is inconsistent.
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #22 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) all_6_16 = all_4_8
% 105.31/14.96 (2) all_6_16 = e0
% 105.31/14.96 (3) ~ (all_4_8 = e0)
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.96 | (4) all_4_8 = e0
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (4) implies:
% 105.31/14.96 | (5) all_4_8 = e0
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (3), (5) imply:
% 105.31/14.96 | (6) $false
% 105.31/14.96 |
% 105.31/14.96 | CLOSE: (6) is inconsistent.
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #23 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) all_6_16 = all_4_8
% 105.31/14.96 (2) all_6_16 = e1
% 105.31/14.96 (3) ~ (all_4_8 = e1)
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.96 | (4) all_4_8 = e1
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (4) implies:
% 105.31/14.96 | (5) all_4_8 = e1
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (3), (5) imply:
% 105.31/14.96 | (6) $false
% 105.31/14.96 |
% 105.31/14.96 | CLOSE: (6) is inconsistent.
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #24 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) all_6_16 = all_4_8
% 105.31/14.96 (2) all_6_16 = e3
% 105.31/14.96 (3) ~ (all_4_8 = e3)
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.96 | (4) all_4_8 = e3
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (4) implies:
% 105.31/14.96 | (5) all_4_8 = e3
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (3), (5) imply:
% 105.31/14.96 | (6) $false
% 105.31/14.96 |
% 105.31/14.96 | CLOSE: (6) is inconsistent.
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #25 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) op(e2, e3) = all_8_49
% 105.31/14.96 (2) op(e3, e2) = e3
% 105.31/14.96 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.96 (4) ~ (all_8_45 = all_8_49)
% 105.31/14.96 (5) op(e3, e2) = all_8_45
% 105.31/14.96 (6) op(e2, e3) = e3
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (3) with e3, all_8_49, e3, e2, simplifying with
% 105.31/14.96 | (1), (6) gives:
% 105.31/14.96 | (7) all_8_49 = e3
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (3) with e3, all_8_45, e2, e3, simplifying with
% 105.31/14.96 | (2), (5) gives:
% 105.31/14.96 | (8) all_8_45 = e3
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (4), (7), (8) imply:
% 105.31/14.96 | (9) $false
% 105.31/14.96 |
% 105.31/14.96 | CLOSE: (9) is inconsistent.
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #26 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) op(all_8_44, e4) = e3
% 105.31/14.96 (2) op(e3, e4) = e2
% 105.31/14.96 (3) ~ (e4 = e3)
% 105.31/14.96 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.96 (5) op(e2, e4) = e4
% 105.31/14.96 (6) op(e3, e4) = all_8_44
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (4) with e2, all_8_44, e4, e3, simplifying with
% 105.31/14.96 | (2), (6) gives:
% 105.31/14.96 | (7) all_8_44 = e2
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (4) with e4, e3, e4, e2, simplifying with (5)
% 105.31/14.96 | gives:
% 105.31/14.96 | (8) e4 = e3 | ~ (op(e2, e4) = e3)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (1), (7) imply:
% 105.31/14.96 | (9) op(e2, e4) = e3
% 105.31/14.96 |
% 105.31/14.96 | BETA: splitting (8) gives:
% 105.31/14.96 |
% 105.31/14.96 | Case 1:
% 105.31/14.96 | |
% 105.31/14.96 | | (10) ~ (op(e2, e4) = e3)
% 105.31/14.96 | |
% 105.31/14.96 | | PRED_UNIFY: (9), (10) imply:
% 105.31/14.96 | | (11) $false
% 105.31/14.96 | |
% 105.31/14.96 | | CLOSE: (11) is inconsistent.
% 105.31/14.96 | |
% 105.31/14.96 | Case 2:
% 105.31/14.96 | |
% 105.31/14.96 | | (12) e4 = e3
% 105.31/14.96 | |
% 105.31/14.96 | | REDUCE: (3), (12) imply:
% 105.31/14.96 | | (13) $false
% 105.31/14.96 | |
% 105.31/14.96 | | CLOSE: (13) is inconsistent.
% 105.31/14.96 | |
% 105.31/14.96 | End of split
% 105.31/14.96 |
% 105.31/14.96 End of proof
% 105.31/14.96
% 105.31/14.96 Sub-proof #27 shows that the following formulas are inconsistent:
% 105.31/14.96 ----------------------------------------------------------------
% 105.31/14.96 (1) op(e4, e0) = e2
% 105.31/14.96 (2) ~ (all_4_20 = e4)
% 105.31/14.96 (3) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.96 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.96 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.96 (4) ~ (all_4_8 = e3)
% 105.31/14.96 (5) all_6_0 = e1
% 105.31/14.96 (6) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.96 (7) all_9_12 = e0
% 105.31/14.96 (8) ~ (e1 = e0)
% 105.31/14.96 (9) all_9_1 = e0
% 105.31/14.96 (10) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/14.96 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/14.96 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.96 (11) ~ (all_4_18 = e3)
% 105.31/14.96 (12) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/14.96 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/14.96 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/14.96 (13) op(e4, e4) = e1
% 105.31/14.96 (14) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/14.96 (15) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/14.96 (16) ~ (e4 = e1)
% 105.31/14.96 (17) ~ (all_4_23 = e1)
% 105.31/14.96 (18) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.96 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.96 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.96 (19) all_9_9 = e3
% 105.31/14.96 (20) all_9_4 = e4
% 105.31/14.96 (21) all_9_22 = e0
% 105.31/14.96 (22) ~ (all_8_43 = all_8_56)
% 105.31/14.96 (23) ~ (e4 = e0)
% 105.31/14.96 (24) all_9_6 = e4
% 105.31/14.96 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.96 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.96 (26) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/14.96 (27) ~ (e3 = e1)
% 105.31/14.96 (28) ~ (op(e0, e4) = e0)
% 105.31/14.96 (29) op(e4, e0) = all_8_43
% 105.31/14.96 (30) ~ (all_4_21 = e3)
% 105.31/14.96 (31) op(e0, e4) = e3
% 105.31/14.96 (32) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/14.96 (33) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/14.96 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/14.96 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/14.96 (34) ~ (e2 = e1)
% 105.31/14.96 (35) all_9_15 = e4
% 105.31/14.96 (36) all_9_5 = e3
% 105.31/14.96 (37) all_6_5 = e2
% 105.31/14.96 (38) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/14.96 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.96 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.96 (39) op(all_8_43, e0) = e4
% 105.31/14.96 (40) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/14.96 (41) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/14.96 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.96 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/14.96 (42) all_9_14 = e1
% 105.31/14.96 (43) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.96 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.96 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.96 (44) all_6_4 = all_4_20
% 105.31/14.96 (45) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/14.96 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/14.96 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/14.96 (46) ~ (all_4_13 = e2)
% 105.31/14.96 (47) ~ (op(e4, e0) = e4)
% 105.31/14.96 (48) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/14.96 (49) all_9_18 = e0
% 105.31/14.96 (50) ~ (all_4_2 = e2)
% 105.31/14.96 (51) op(e2, e0) = e0
% 105.31/14.96 (52) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/14.96 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/14.96 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/14.96 (53) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/14.96 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/14.96 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/14.96 (54) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/14.96 (55) all_9_8 = e2
% 105.31/14.96 (56) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/14.96 (57) all_6_19 = all_4_23
% 105.31/14.96 (58) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.96 (59) op(e0, e4) = all_8_56
% 105.31/14.96 (60) all_4_1 = e2
% 105.31/14.96 (61) all_9_2 = e2
% 105.31/14.96 (62) ~ (op(e4, e0) = e0)
% 105.31/14.96 (63) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/14.96 (64) ~ (op(e0, e4) = e4)
% 105.31/14.96 (65) op(e1, e1) = all_4_18
% 105.31/14.96
% 105.31/14.96 Begin of proof
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (25) with e3, all_8_56, e4, e0, simplifying with
% 105.31/14.96 | (31), (59) gives:
% 105.31/14.96 | (66) all_8_56 = e3
% 105.31/14.96 |
% 105.31/14.96 | PRED_UNIFY: (59), (64) imply:
% 105.31/14.96 | (67) ~ (all_8_56 = e4)
% 105.31/14.96 |
% 105.31/14.96 | PRED_UNIFY: (28), (59) imply:
% 105.31/14.96 | (68) ~ (all_8_56 = e0)
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (25) with e2, all_8_43, e0, e4, simplifying with
% 105.31/14.96 | (1), (29) gives:
% 105.31/14.96 | (69) all_8_43 = e2
% 105.31/14.96 |
% 105.31/14.96 | PRED_UNIFY: (29), (47) imply:
% 105.31/14.96 | (70) ~ (all_8_43 = e4)
% 105.31/14.96 |
% 105.31/14.96 | PRED_UNIFY: (29), (62) imply:
% 105.31/14.96 | (71) ~ (all_8_43 = e0)
% 105.31/14.96 |
% 105.31/14.96 | GROUND_INST: instantiating (25) with e0, e4, e0, e2, simplifying with (51)
% 105.31/14.96 | gives:
% 105.31/14.96 | (72) e4 = e0 | ~ (op(e2, e0) = e4)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (22), (66), (69) imply:
% 105.31/14.96 | (73) ~ (e3 = e2)
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (73) implies:
% 105.31/14.96 | (74) ~ (e3 = e2)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (69), (70) imply:
% 105.31/14.96 | (75) ~ (e4 = e2)
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (75) implies:
% 105.31/14.96 | (76) ~ (e4 = e2)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (69), (71) imply:
% 105.31/14.96 | (77) ~ (e2 = e0)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (66), (67) imply:
% 105.31/14.96 | (78) ~ (e4 = e3)
% 105.31/14.96 |
% 105.31/14.96 | SIMP: (78) implies:
% 105.31/14.96 | (79) ~ (e4 = e3)
% 105.31/14.96 |
% 105.31/14.96 | REDUCE: (66), (68) imply:
% 105.31/14.96 | (80) ~ (e3 = e0)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (39), (69) imply:
% 105.31/14.97 | (81) op(e2, e0) = e4
% 105.31/14.97 |
% 105.31/14.97 | BETA: splitting (72) gives:
% 105.31/14.97 |
% 105.31/14.97 | Case 1:
% 105.31/14.97 | |
% 105.31/14.97 | | (82) ~ (op(e2, e0) = e4)
% 105.31/14.97 | |
% 105.31/14.97 | | PRED_UNIFY: (81), (82) imply:
% 105.31/14.97 | | (83) $false
% 105.31/14.97 | |
% 105.31/14.97 | | CLOSE: (83) is inconsistent.
% 105.31/14.97 | |
% 105.31/14.97 | Case 2:
% 105.31/14.97 | |
% 105.31/14.97 | | (84) e4 = e0
% 105.31/14.97 | |
% 105.31/14.97 | | COMBINE_EQS: (35), (84) imply:
% 105.31/14.97 | | (85) all_9_15 = e0
% 105.31/14.97 | |
% 105.31/14.97 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 105.31/14.97 | | (14), (15), (16), (17), (18), (19), (20), (21), (23), (24), (25),
% 105.31/14.97 | | (26), (27), (30), (32), (33), (34), (36), (37), (38), (40), (41),
% 105.31/14.97 | | (42), (43), (44), (45), (46), (48), (49), (50), (52), (53), (54),
% 105.31/14.97 | | (55), (56), (57), (58), (60), (61), (63), (65), (74), (76), (77),
% 105.31/14.97 | | (79), (80), (85) are inconsistent by sub-proof #46.
% 105.31/14.97 | |
% 105.31/14.97 | End of split
% 105.31/14.97 |
% 105.31/14.97 End of proof
% 105.31/14.97
% 105.31/14.97 Sub-proof #28 shows that the following formulas are inconsistent:
% 105.31/14.97 ----------------------------------------------------------------
% 105.31/14.97 (1) ~ (op(e4, e1) = e4)
% 105.31/14.97 (2) ~ (all_4_20 = e4)
% 105.31/14.97 (3) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.97 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.97 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.97 (4) ~ (all_4_8 = e3)
% 105.31/14.97 (5) all_6_0 = e1
% 105.31/14.97 (6) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.97 (7) all_9_12 = e0
% 105.31/14.97 (8) op(e3, e1) = e0
% 105.31/14.97 (9) op(all_8_42, e1) = e4
% 105.31/14.97 (10) all_9_1 = e0
% 105.31/14.97 (11) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/14.97 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/14.97 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.97 (12) ~ (all_4_18 = e3)
% 105.31/14.97 (13) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/14.97 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/14.97 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/14.97 (14) ~ (op(e1, e4) = e4)
% 105.31/14.97 (15) op(e4, e4) = e1
% 105.31/14.97 (16) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/14.97 (17) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/14.97 (18) ~ (e4 = e1)
% 105.31/14.97 (19) ~ (all_4_23 = e1)
% 105.31/14.97 (20) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.97 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.97 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.97 (21) op(e1, e4) = all_8_52
% 105.31/14.97 (22) all_9_9 = e3
% 105.31/14.97 (23) op(e4, e1) = e3
% 105.31/14.97 (24) all_9_4 = e4
% 105.31/14.97 (25) all_9_22 = e0
% 105.31/14.97 (26) op(e1, e4) = e0
% 105.31/14.97 (27) all_9_6 = e4
% 105.31/14.97 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.97 (29) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/14.97 (30) ~ (e2 = e0)
% 105.31/14.97 (31) ~ (all_4_21 = e3)
% 105.31/14.97 (32) ~ (e3 = e2)
% 105.31/14.97 (33) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/14.97 (34) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/14.97 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/14.97 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/14.97 (35) ~ (e2 = e1)
% 105.31/14.97 (36) all_9_15 = e4
% 105.31/14.97 (37) all_9_5 = e3
% 105.31/14.97 (38) all_6_5 = e2
% 105.31/14.97 (39) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/14.97 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.97 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.97 (40) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/14.97 (41) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/14.97 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.97 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/14.97 (42) all_9_14 = e1
% 105.31/14.97 (43) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.97 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.97 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.97 (44) all_6_4 = all_4_20
% 105.31/14.97 (45) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/14.97 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/14.97 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/14.97 (46) op(e4, e1) = all_8_42
% 105.31/14.97 (47) ~ (all_4_13 = e2)
% 105.31/14.97 (48) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/14.97 (49) all_9_18 = e0
% 105.31/14.97 (50) ~ (op(e1, e4) = e1)
% 105.31/14.97 (51) ~ (all_4_2 = e2)
% 105.31/14.97 (52) ~ (op(e4, e1) = e1)
% 105.31/14.97 (53) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/14.97 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/14.97 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/14.97 (54) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/14.97 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/14.97 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/14.97 (55) ~ (all_8_42 = all_8_52)
% 105.31/14.97 (56) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/14.97 (57) all_9_8 = e2
% 105.31/14.97 (58) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/14.97 (59) all_6_19 = all_4_23
% 105.31/14.97 (60) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.97 (61) all_4_1 = e2
% 105.31/14.97 (62) all_9_2 = e2
% 105.31/14.97 (63) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/14.97 (64) ~ (e4 = e2)
% 105.31/14.97 (65) op(e1, e1) = all_4_18
% 105.31/14.97
% 105.31/14.97 Begin of proof
% 105.31/14.97 |
% 105.31/14.97 | GROUND_INST: instantiating (28) with e0, all_8_52, e4, e1, simplifying with
% 105.31/14.97 | (21), (26) gives:
% 105.31/14.97 | (66) all_8_52 = e0
% 105.31/14.97 |
% 105.31/14.97 | PRED_UNIFY: (14), (21) imply:
% 105.31/14.97 | (67) ~ (all_8_52 = e4)
% 105.31/14.97 |
% 105.31/14.97 | PRED_UNIFY: (21), (50) imply:
% 105.31/14.97 | (68) ~ (all_8_52 = e1)
% 105.31/14.97 |
% 105.31/14.97 | GROUND_INST: instantiating (28) with e3, all_8_42, e1, e4, simplifying with
% 105.31/14.97 | (23), (46) gives:
% 105.31/14.97 | (69) all_8_42 = e3
% 105.31/14.97 |
% 105.31/14.97 | PRED_UNIFY: (1), (46) imply:
% 105.31/14.97 | (70) ~ (all_8_42 = e4)
% 105.31/14.97 |
% 105.31/14.97 | PRED_UNIFY: (46), (52) imply:
% 105.31/14.97 | (71) ~ (all_8_42 = e1)
% 105.31/14.97 |
% 105.31/14.97 | GROUND_INST: instantiating (28) with e0, e4, e1, e3, simplifying with (8)
% 105.31/14.97 | gives:
% 105.31/14.97 | (72) e4 = e0 | ~ (op(e3, e1) = e4)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (55), (66), (69) imply:
% 105.31/14.97 | (73) ~ (e3 = e0)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (69), (70) imply:
% 105.31/14.97 | (74) ~ (e4 = e3)
% 105.31/14.97 |
% 105.31/14.97 | SIMP: (74) implies:
% 105.31/14.97 | (75) ~ (e4 = e3)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (69), (71) imply:
% 105.31/14.97 | (76) ~ (e3 = e1)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (66), (67) imply:
% 105.31/14.97 | (77) ~ (e4 = e0)
% 105.31/14.97 |
% 105.31/14.97 | SIMP: (77) implies:
% 105.31/14.97 | (78) ~ (e4 = e0)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (66), (68) imply:
% 105.31/14.97 | (79) ~ (e1 = e0)
% 105.31/14.97 |
% 105.31/14.97 | SIMP: (79) implies:
% 105.31/14.97 | (80) ~ (e1 = e0)
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (9), (69) imply:
% 105.31/14.97 | (81) op(e3, e1) = e4
% 105.31/14.97 |
% 105.31/14.97 | BETA: splitting (72) gives:
% 105.31/14.97 |
% 105.31/14.97 | Case 1:
% 105.31/14.97 | |
% 105.31/14.97 | | (82) ~ (op(e3, e1) = e4)
% 105.31/14.97 | |
% 105.31/14.97 | | PRED_UNIFY: (81), (82) imply:
% 105.31/14.97 | | (83) $false
% 105.31/14.97 | |
% 105.31/14.97 | | CLOSE: (83) is inconsistent.
% 105.31/14.97 | |
% 105.31/14.97 | Case 2:
% 105.31/14.97 | |
% 105.31/14.97 | | (84) e4 = e0
% 105.31/14.97 | |
% 105.31/14.97 | | COMBINE_EQS: (36), (84) imply:
% 105.31/14.97 | | (85) all_9_15 = e0
% 105.31/14.97 | |
% 105.31/14.97 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (15), (16),
% 105.31/14.97 | | (17), (18), (19), (20), (22), (24), (25), (27), (28), (29), (30),
% 105.31/14.97 | | (31), (32), (33), (34), (35), (37), (38), (39), (40), (41), (42),
% 105.31/14.97 | | (43), (44), (45), (47), (48), (49), (51), (53), (54), (56), (57),
% 105.31/14.97 | | (58), (59), (60), (61), (62), (63), (64), (65), (73), (75), (76),
% 105.31/14.97 | | (78), (80), (85) are inconsistent by sub-proof #46.
% 105.31/14.97 | |
% 105.31/14.97 | End of split
% 105.31/14.97 |
% 105.31/14.97 End of proof
% 105.31/14.97
% 105.31/14.97 Sub-proof #29 shows that the following formulas are inconsistent:
% 105.31/14.97 ----------------------------------------------------------------
% 105.31/14.97 (1) ~ (all_8_41 = all_8_48)
% 105.31/14.97 (2) op(e4, e2) = all_8_41
% 105.31/14.97 (3) op(e4, e2) = e4
% 105.31/14.97 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.97 (5) op(e2, e4) = e4
% 105.31/14.97 (6) op(e2, e4) = all_8_48
% 105.31/14.97
% 105.31/14.97 Begin of proof
% 105.31/14.97 |
% 105.31/14.97 | GROUND_INST: instantiating (4) with e4, all_8_48, e4, e2, simplifying with
% 105.31/14.97 | (5), (6) gives:
% 105.31/14.97 | (7) all_8_48 = e4
% 105.31/14.97 |
% 105.31/14.97 | GROUND_INST: instantiating (4) with e4, all_8_41, e2, e4, simplifying with
% 105.31/14.97 | (2), (3) gives:
% 105.31/14.97 | (8) all_8_41 = e4
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (1), (7), (8) imply:
% 105.31/14.97 | (9) $false
% 105.31/14.97 |
% 105.31/14.97 | CLOSE: (9) is inconsistent.
% 105.31/14.97 |
% 105.31/14.97 End of proof
% 105.31/14.97
% 105.31/14.97 Sub-proof #30 shows that the following formulas are inconsistent:
% 105.31/14.97 ----------------------------------------------------------------
% 105.31/14.97 (1) all_6_23 = all_4_19
% 105.31/14.97 (2) all_6_23 = e1
% 105.31/14.97 (3) ~ (all_4_19 = e1)
% 105.31/14.97
% 105.31/14.97 Begin of proof
% 105.31/14.97 |
% 105.31/14.97 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.97 | (4) all_4_19 = e1
% 105.31/14.97 |
% 105.31/14.97 | SIMP: (4) implies:
% 105.31/14.97 | (5) all_4_19 = e1
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (3), (5) imply:
% 105.31/14.97 | (6) $false
% 105.31/14.97 |
% 105.31/14.97 | CLOSE: (6) is inconsistent.
% 105.31/14.97 |
% 105.31/14.97 End of proof
% 105.31/14.97
% 105.31/14.97 Sub-proof #31 shows that the following formulas are inconsistent:
% 105.31/14.97 ----------------------------------------------------------------
% 105.31/14.97 (1) all_6_23 = all_4_19
% 105.31/14.97 (2) all_6_23 = e3
% 105.31/14.97 (3) ~ (all_4_19 = e3)
% 105.31/14.97
% 105.31/14.97 Begin of proof
% 105.31/14.97 |
% 105.31/14.97 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.97 | (4) all_4_19 = e3
% 105.31/14.97 |
% 105.31/14.97 | SIMP: (4) implies:
% 105.31/14.97 | (5) all_4_19 = e3
% 105.31/14.97 |
% 105.31/14.97 | REDUCE: (3), (5) imply:
% 105.31/14.97 | (6) $false
% 105.31/14.97 |
% 105.31/14.97 | CLOSE: (6) is inconsistent.
% 105.31/14.97 |
% 105.31/14.97 End of proof
% 105.31/14.97
% 105.31/14.97 Sub-proof #32 shows that the following formulas are inconsistent:
% 105.31/14.97 ----------------------------------------------------------------
% 105.31/14.97 (1) ~ (all_4_20 = e4)
% 105.31/14.97 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.97 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.97 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.97 (3) ~ (all_4_8 = e3)
% 105.31/14.97 (4) all_6_0 = e1
% 105.31/14.97 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.97 (6) all_9_12 = e0
% 105.31/14.97 (7) ~ (all_4_9 = e4)
% 105.31/14.97 (8) ~ (e1 = e0)
% 105.31/14.97 (9) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/14.97 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/14.97 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/14.97 (10) all_9_1 = e0
% 105.31/14.97 (11) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/14.97 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/14.97 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.97 (12) ~ (all_4_18 = e3)
% 105.31/14.97 (13) ~ (all_4_11 = e2)
% 105.31/14.97 (14) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/14.97 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/14.97 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/14.97 (15) all_9_19 = e3
% 105.31/14.97 (16) all_9_24 = e1
% 105.31/14.97 (17) op(e4, e4) = e1
% 105.31/14.97 (18) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/14.97 (19) ~ (all_4_14 = e2)
% 105.31/14.97 (20) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/14.97 (21) ~ (e4 = e1)
% 105.31/14.97 (22) ~ (all_4_23 = e1)
% 105.31/14.97 (23) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.97 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.97 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.97 (24) ~ (all_4_17 = e2)
% 105.31/14.97 (25) all_9_9 = e3
% 105.31/14.97 (26) all_9_11 = e1
% 105.31/14.97 (27) all_9_4 = e4
% 105.31/14.97 (28) all_9_22 = e0
% 105.31/14.97 (29) ~ (e4 = e3)
% 105.31/14.97 (30) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/14.97 (31) ~ (all_4_4 = e4)
% 105.31/14.97 (32) ~ (e4 = e0)
% 105.31/14.97 (33) all_9_6 = e4
% 105.31/14.97 (34) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.97 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.97 (35) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/14.97 (36) ~ (e2 = e0)
% 105.31/14.97 (37) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/14.97 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/14.97 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/14.97 (38) ~ (e3 = e1)
% 105.31/14.97 (39) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.97 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.97 (40) ~ (all_4_21 = e3)
% 105.31/14.97 (41) ~ (e3 = e2)
% 105.31/14.97 (42) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/14.97 (43) ~ (op(e2, e1) = e2)
% 105.31/14.97 (44) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/14.97 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/14.97 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/14.97 (45) ~ (e2 = e1)
% 105.31/14.97 (46) all_9_5 = e3
% 105.31/14.97 (47) all_6_5 = e2
% 105.31/14.97 (48) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/14.97 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.97 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.97 (49) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/14.97 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.97 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/14.97 (50) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/14.97 (51) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/14.97 (52) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/14.97 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.97 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/14.97 (53) all_9_14 = e1
% 105.31/14.97 (54) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/14.97 (55) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.97 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.97 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.97 (56) all_6_4 = all_4_20
% 105.31/14.97 (57) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/14.97 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/14.97 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/14.97 (58) all_6_13 = all_4_17
% 105.31/14.97 (59) op(e3, e1) = all_4_16
% 105.31/14.97 (60) ~ (all_4_16 = e2)
% 105.31/14.97 (61) ~ (all_4_13 = e2)
% 105.31/14.97 (62) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/14.97 (63) all_9_18 = e0
% 105.31/14.97 (64) ~ (all_4_2 = e2)
% 105.31/14.97 (65) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/14.97 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/14.97 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/14.97 (66) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/14.97 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/14.97 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/14.97 (67) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/14.97 (68) all_9_8 = e2
% 105.31/14.98 (69) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 105.31/14.98 (70) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/14.98 (71) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 105.31/14.98 (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 105.31/14.98 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.98 (72) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/14.98 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/14.98 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/14.98 (73) all_6_19 = all_4_23
% 105.31/14.98 (74) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.98 (75) all_4_1 = e2
% 105.31/14.98 (76) all_9_2 = e2
% 105.31/14.98 (77) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/14.98 (78) ~ (e3 = e0)
% 105.31/14.98 (79) op(e0, e3) = all_4_9
% 105.31/14.98 (80) ~ (e4 = e2)
% 105.31/14.98 (81) op(e1, e1) = all_4_18
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | BETA: splitting (39) gives:
% 105.31/14.98 |
% 105.31/14.98 | Case 1:
% 105.31/14.98 | |
% 105.31/14.98 | | (82) all_9_14 = e4 & op(e1, e2) = e4
% 105.31/14.98 | |
% 105.31/14.98 | | REF_CLOSE: (21), (53), (82) are inconsistent by sub-proof #34.
% 105.31/14.98 | |
% 105.31/14.98 | Case 2:
% 105.31/14.98 | |
% 105.31/14.98 | | (83) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0) =
% 105.31/14.98 | | e4)
% 105.31/14.98 | |
% 105.31/14.98 | | BETA: splitting (83) gives:
% 105.31/14.98 | |
% 105.31/14.98 | | Case 1:
% 105.31/14.98 | | |
% 105.31/14.98 | | | (84) all_9_15 = e4 & op(e1, e1) = e4
% 105.31/14.98 | | |
% 105.31/14.98 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 105.31/14.98 | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 105.31/14.98 | | | (23), (24), (25), (26), (27), (28), (29), (30), (31), (32),
% 105.31/14.98 | | | (33), (34), (35), (36), (37), (38), (40), (41), (42), (43),
% 105.31/14.98 | | | (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 105.31/14.98 | | | (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 105.31/14.98 | | | (64), (65), (66), (67), (68), (69), (70), (71), (72), (73),
% 105.31/14.98 | | | (74), (75), (76), (77), (78), (79), (80), (81), (84) are
% 105.31/14.98 | | | inconsistent by sub-proof #43.
% 105.31/14.98 | | |
% 105.31/14.98 | | Case 2:
% 105.31/14.98 | | |
% 105.31/14.98 | | | (85) all_9_19 = e4 & op(e1, e0) = e4
% 105.31/14.98 | | |
% 105.31/14.98 | | | REF_CLOSE: (15), (29), (85) are inconsistent by sub-proof #33.
% 105.31/14.98 | | |
% 105.31/14.98 | | End of split
% 105.31/14.98 | |
% 105.31/14.98 | End of split
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #33 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) all_9_19 = e4 & op(e1, e0) = e4
% 105.31/14.98 (2) all_9_19 = e3
% 105.31/14.98 (3) ~ (e4 = e3)
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | ALPHA: (1) implies:
% 105.31/14.98 | (4) all_9_19 = e4
% 105.31/14.98 |
% 105.31/14.98 | COMBINE_EQS: (2), (4) imply:
% 105.31/14.98 | (5) e4 = e3
% 105.31/14.98 |
% 105.31/14.98 | REDUCE: (3), (5) imply:
% 105.31/14.98 | (6) $false
% 105.31/14.98 |
% 105.31/14.98 | CLOSE: (6) is inconsistent.
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #34 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) all_9_14 = e4 & op(e1, e2) = e4
% 105.31/14.98 (2) all_9_14 = e1
% 105.31/14.98 (3) ~ (e4 = e1)
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | ALPHA: (1) implies:
% 105.31/14.98 | (4) all_9_14 = e4
% 105.31/14.98 |
% 105.31/14.98 | COMBINE_EQS: (2), (4) imply:
% 105.31/14.98 | (5) e4 = e1
% 105.31/14.98 |
% 105.31/14.98 | SIMP: (5) implies:
% 105.31/14.98 | (6) e4 = e1
% 105.31/14.98 |
% 105.31/14.98 | REDUCE: (3), (6) imply:
% 105.31/14.98 | (7) $false
% 105.31/14.98 |
% 105.31/14.98 | CLOSE: (7) is inconsistent.
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #35 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) ~ (all_4_20 = e4)
% 105.31/14.98 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.98 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.98 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.98 (3) ~ (all_4_8 = e3)
% 105.31/14.98 (4) all_6_0 = e1
% 105.31/14.98 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.98 (6) all_9_12 = e0
% 105.31/14.98 (7) ~ (e1 = e0)
% 105.31/14.98 (8) all_9_1 = e0
% 105.31/14.98 (9) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/14.98 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/14.98 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.98 (10) ~ (all_4_18 = e3)
% 105.31/14.98 (11) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/14.98 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/14.98 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/14.98 (12) ~ (all_4_18 = e0)
% 105.31/14.98 (13) op(e4, e4) = e1
% 105.31/14.98 (14) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/14.98 (15) op(e1, e1) = e0
% 105.31/14.98 (16) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/14.98 (17) ~ (e4 = e1)
% 105.31/14.98 (18) ~ (all_4_23 = e1)
% 105.31/14.98 (19) all_9_15 = e2
% 105.31/14.98 (20) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.98 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.98 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.98 (21) all_6_18 = all_4_18
% 105.31/14.98 (22) all_9_9 = e3
% 105.31/14.98 (23) all_9_4 = e4
% 105.31/14.98 (24) ~ (e4 = e3)
% 105.31/14.98 (25) ~ (e4 = e0)
% 105.31/14.98 (26) all_9_6 = e4
% 105.31/14.98 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.98 (28) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/14.98 (29) ~ (e3 = e1)
% 105.31/14.98 (30) ~ (all_4_21 = e3)
% 105.31/14.98 (31) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/14.98 (32) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/14.98 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/14.98 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/14.98 (33) all_6_5 = e2
% 105.31/14.98 (34) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/14.98 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.98 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.98 (35) ~ (all_4_18 = e4)
% 105.31/14.98 (36) ~ (all_4_18 = e1)
% 105.31/14.98 (37) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/14.98 (38) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/14.98 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.98 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/14.98 (39) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.98 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.98 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.98 (40) all_6_4 = all_4_20
% 105.31/14.98 (41) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/14.98 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/14.98 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/14.98 (42) all_6_18 = e2 | all_6_18 = e0
% 105.31/14.98 (43) ~ (all_4_13 = e2)
% 105.31/14.98 (44) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/14.98 (45) all_9_18 = e0
% 105.31/14.98 (46) ~ (all_4_2 = e2)
% 105.31/14.98 (47) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/14.98 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/14.98 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/14.98 (48) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/14.98 (49) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/14.98 (50) all_6_19 = all_4_23
% 105.31/14.98 (51) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.98 (52) all_4_1 = e2
% 105.31/14.98 (53) all_9_2 = e2
% 105.31/14.98 (54) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/14.98 (55) ~ (e3 = e0)
% 105.31/14.98 (56) all_9_13 = e4
% 105.31/14.98 (57) op(e1, e1) = all_4_18
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | BETA: splitting (42) gives:
% 105.31/14.98 |
% 105.31/14.98 | Case 1:
% 105.31/14.98 | |
% 105.31/14.98 | | (58) all_6_18 = e2
% 105.31/14.98 | |
% 105.31/14.98 | | COMBINE_EQS: (21), (58) imply:
% 105.31/14.98 | | (59) all_4_18 = e2
% 105.31/14.98 | |
% 105.31/14.98 | | SIMP: (59) implies:
% 105.31/14.98 | | (60) all_4_18 = e2
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (35), (60) imply:
% 105.31/14.98 | | (61) ~ (e4 = e2)
% 105.31/14.98 | |
% 105.31/14.98 | | SIMP: (61) implies:
% 105.31/14.98 | | (62) ~ (e4 = e2)
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (10), (60) imply:
% 105.31/14.98 | | (63) ~ (e3 = e2)
% 105.31/14.98 | |
% 105.31/14.98 | | SIMP: (63) implies:
% 105.31/14.98 | | (64) ~ (e3 = e2)
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (36), (60) imply:
% 105.31/14.98 | | (65) ~ (e2 = e1)
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (12), (60) imply:
% 105.31/14.98 | | (66) ~ (e2 = e0)
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (57), (60) imply:
% 105.31/14.98 | | (67) op(e1, e1) = e2
% 105.31/14.98 | |
% 105.31/14.98 | | GROUND_INST: instantiating (27) with e0, e2, e1, e1, simplifying with (15),
% 105.31/14.98 | | (67) gives:
% 105.31/14.98 | | (68) e2 = e0
% 105.31/14.98 | |
% 105.31/14.98 | | COMBINE_EQS: (19), (68) imply:
% 105.31/14.98 | | (69) all_9_15 = e0
% 105.31/14.98 | |
% 105.31/14.98 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 105.31/14.98 | | (14), (16), (17), (18), (20), (22), (23), (24), (25), (26), (27),
% 105.31/14.98 | | (28), (29), (30), (31), (32), (33), (34), (37), (38), (39), (40),
% 105.31/14.98 | | (41), (43), (44), (45), (46), (47), (48), (49), (50), (51), (52),
% 105.31/14.98 | | (53), (54), (55), (56), (57), (62), (64), (65), (66), (69) are
% 105.31/14.98 | | inconsistent by sub-proof #47.
% 105.31/14.98 | |
% 105.31/14.98 | Case 2:
% 105.31/14.98 | |
% 105.31/14.98 | | (70) all_6_18 = e0
% 105.31/14.98 | |
% 105.31/14.98 | | REF_CLOSE: (12), (21), (70) are inconsistent by sub-proof #40.
% 105.31/14.98 | |
% 105.31/14.98 | End of split
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #36 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.98 (2) op(e2, e2) = e2
% 105.31/14.98 (3) op(e2, e2) = e0
% 105.31/14.98 (4) ~ (e2 = e0)
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | GROUND_INST: instantiating (1) with e2, e0, e2, e2, simplifying with (2), (3)
% 105.31/14.98 | gives:
% 105.31/14.98 | (5) e2 = e0
% 105.31/14.98 |
% 105.31/14.98 | REDUCE: (4), (5) imply:
% 105.31/14.98 | (6) $false
% 105.31/14.98 |
% 105.31/14.98 | CLOSE: (6) is inconsistent.
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #37 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.98 (2) op(e2, e2) = e2
% 105.31/14.98 (3) op(e2, e2) = e1
% 105.31/14.98 (4) ~ (e2 = e1)
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | GROUND_INST: instantiating (1) with e2, e1, e2, e2, simplifying with (2), (3)
% 105.31/14.98 | gives:
% 105.31/14.98 | (5) e2 = e1
% 105.31/14.98 |
% 105.31/14.98 | REDUCE: (4), (5) imply:
% 105.31/14.98 | (6) $false
% 105.31/14.98 |
% 105.31/14.98 | CLOSE: (6) is inconsistent.
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #38 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) op(e3, e3) = e1
% 105.31/14.98 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.98 (3) all_9_12 = e0
% 105.31/14.98 (4) ~ (all_4_18 = e3)
% 105.31/14.98 (5) ~ (all_4_18 = e0)
% 105.31/14.98 (6) op(e4, e4) = e1
% 105.31/14.98 (7) op(e3, e3) = e2
% 105.31/14.98 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.98 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.98 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.98 (9) all_6_18 = all_4_18
% 105.31/14.98 (10) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.31/14.98 (11) ~ (e4 = e3)
% 105.31/14.98 (12) all_9_6 = e4
% 105.31/14.98 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.98 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.98 (14) ~ (e3 = e1)
% 105.31/14.98 (15) all_9_20 = e3
% 105.31/14.98 (16) ~ (all_4_18 = e1)
% 105.31/14.98 (17) op(e2, e2) = e3
% 105.31/14.98 (18) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.98 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.98 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.98 (19) op(e2, e2) = e2
% 105.31/14.98 (20) ~ (all_4_2 = e2)
% 105.31/14.98 (21) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.98 (22) ~ (e3 = e0)
% 105.31/14.98
% 105.31/14.98 Begin of proof
% 105.31/14.98 |
% 105.31/14.98 | BETA: splitting (10) gives:
% 105.31/14.98 |
% 105.31/14.98 | Case 1:
% 105.31/14.98 | |
% 105.31/14.98 | | (23) all_6_18 = e3
% 105.31/14.98 | |
% 105.31/14.98 | | COMBINE_EQS: (9), (23) imply:
% 105.31/14.98 | | (24) all_4_18 = e3
% 105.31/14.98 | |
% 105.31/14.98 | | REDUCE: (4), (24) imply:
% 105.31/14.98 | | (25) $false
% 105.31/14.98 | |
% 105.31/14.98 | | CLOSE: (25) is inconsistent.
% 105.31/14.98 | |
% 105.31/14.98 | Case 2:
% 105.31/14.98 | |
% 105.31/14.98 | | (26) ~ (all_6_18 = e3)
% 105.31/14.98 | | (27) all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.31/14.98 | |
% 105.31/14.98 | | BETA: splitting (27) gives:
% 105.31/14.98 | |
% 105.31/14.98 | | Case 1:
% 105.31/14.98 | | |
% 105.31/14.98 | | | (28) all_6_18 = e1
% 105.31/14.98 | | |
% 105.31/14.98 | | | REF_CLOSE: (9), (16), (28) are inconsistent by sub-proof #42.
% 105.31/14.98 | | |
% 105.31/14.98 | | Case 2:
% 105.31/14.98 | | |
% 105.31/14.98 | | | (29) ~ (all_6_18 = e1)
% 105.31/14.98 | | | (30) all_6_18 = e2 | all_6_18 = e0
% 105.31/14.98 | | |
% 105.31/14.98 | | | BETA: splitting (30) gives:
% 105.31/14.98 | | |
% 105.31/14.98 | | | Case 1:
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | (31) all_6_18 = e2
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | COMBINE_EQS: (9), (31) imply:
% 105.31/14.98 | | | | (32) all_4_18 = e2
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | SIMP: (32) implies:
% 105.31/14.98 | | | | (33) all_4_18 = e2
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | REDUCE: (4), (33) imply:
% 105.31/14.98 | | | | (34) ~ (e3 = e2)
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | SIMP: (34) implies:
% 105.31/14.98 | | | | (35) ~ (e3 = e2)
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | REDUCE: (16), (33) imply:
% 105.31/14.98 | | | | (36) ~ (e2 = e1)
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | REDUCE: (5), (33) imply:
% 105.31/14.98 | | | | (37) ~ (e2 = e0)
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | GROUND_INST: instantiating (13) with e2, e3, e2, e2, simplifying with
% 105.31/14.98 | | | | (17), (19) gives:
% 105.31/14.98 | | | | (38) e3 = e2
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | GROUND_INST: instantiating (13) with e1, e2, e3, e3, simplifying with
% 105.31/14.98 | | | | (1), (7) gives:
% 105.31/14.98 | | | | (39) e2 = e1
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | COMBINE_EQS: (38), (39) imply:
% 105.31/14.98 | | | | (40) e3 = e1
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | COMBINE_EQS: (15), (40) imply:
% 105.31/14.98 | | | | (41) all_9_20 = e1
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | REF_CLOSE: (2), (3), (6), (8), (11), (12), (13), (14), (18), (20), (21),
% 105.31/14.98 | | | | (22), (35), (36), (37), (41) are inconsistent by sub-proof
% 105.31/14.98 | | | | #190.
% 105.31/14.98 | | | |
% 105.31/14.98 | | | Case 2:
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | (42) all_6_18 = e0
% 105.31/14.98 | | | |
% 105.31/14.98 | | | | REF_CLOSE: (5), (9), (42) are inconsistent by sub-proof #40.
% 105.31/14.98 | | | |
% 105.31/14.98 | | | End of split
% 105.31/14.98 | | |
% 105.31/14.98 | | End of split
% 105.31/14.98 | |
% 105.31/14.98 | End of split
% 105.31/14.98 |
% 105.31/14.98 End of proof
% 105.31/14.98
% 105.31/14.98 Sub-proof #39 shows that the following formulas are inconsistent:
% 105.31/14.98 ----------------------------------------------------------------
% 105.31/14.98 (1) ~ (op(e4, e1) = e4)
% 105.31/14.98 (2) ~ (all_4_20 = e4)
% 105.31/14.98 (3) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.98 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.98 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.98 (4) ~ (all_4_8 = e3)
% 105.31/14.98 (5) all_6_0 = e1
% 105.31/14.99 (6) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.99 (7) all_9_12 = e0
% 105.31/14.99 (8) ~ (all_4_9 = e4)
% 105.31/14.99 (9) ~ (e1 = e0)
% 105.31/14.99 (10) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/14.99 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/14.99 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/14.99 (11) all_9_1 = e0
% 105.31/14.99 (12) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/14.99 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/14.99 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.99 (13) ~ (all_4_18 = e3)
% 105.31/14.99 (14) ~ (all_4_11 = e2)
% 105.31/14.99 (15) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/14.99 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/14.99 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/14.99 (16) ~ (all_4_18 = e0)
% 105.31/14.99 (17) all_9_19 = e3
% 105.31/14.99 (18) all_9_24 = e1
% 105.31/14.99 (19) op(e4, e4) = e1
% 105.31/14.99 (20) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/14.99 (21) ~ (all_4_14 = e2)
% 105.31/14.99 (22) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/14.99 (23) ~ (e4 = e1)
% 105.31/14.99 (24) ~ (all_4_23 = e1)
% 105.31/14.99 (25) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/14.99 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/14.99 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/14.99 (26) all_6_18 = all_4_18
% 105.31/14.99 (27) all_9_23 = e4
% 105.31/14.99 (28) ~ (all_4_17 = e2)
% 105.31/14.99 (29) all_9_9 = e3
% 105.31/14.99 (30) all_9_11 = e1
% 105.31/14.99 (31) all_9_4 = e4
% 105.31/14.99 (32) all_9_22 = e0
% 105.31/14.99 (33) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.31/14.99 (34) ~ (e4 = e3)
% 105.31/14.99 (35) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/14.99 (36) ~ (all_4_4 = e4)
% 105.31/14.99 (37) ~ (e4 = e0)
% 105.31/14.99 (38) all_9_6 = e4
% 105.31/14.99 (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/14.99 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/14.99 (40) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/14.99 (41) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/14.99 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/14.99 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/14.99 (42) ~ (e3 = e1)
% 105.31/14.99 (43) ~ (all_4_21 = e3)
% 105.31/14.99 (44) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/14.99 (45) ~ (op(e2, e1) = e2)
% 105.31/14.99 (46) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/14.99 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/14.99 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/14.99 (47) all_9_5 = e3
% 105.31/14.99 (48) all_6_5 = e2
% 105.31/14.99 (49) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/14.99 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.99 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/14.99 (50) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/14.99 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.99 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/14.99 (51) ~ (all_4_18 = e4)
% 105.31/14.99 (52) ~ (all_4_18 = e1)
% 105.31/14.99 (53) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/14.99 (54) op(e1, e1) = e4
% 105.31/14.99 (55) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/14.99 (56) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/14.99 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/14.99 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/14.99 (57) all_9_14 = e1
% 105.31/14.99 (58) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/14.99 (59) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/14.99 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/14.99 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/14.99 (60) all_6_4 = all_4_20
% 105.31/14.99 (61) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/14.99 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/14.99 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/14.99 (62) all_6_13 = all_4_17
% 105.31/14.99 (63) op(e3, e1) = all_4_16
% 105.31/14.99 (64) ~ (all_4_16 = e2)
% 105.31/14.99 (65) ~ (all_4_13 = e2)
% 105.31/14.99 (66) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/14.99 (67) all_9_18 = e0
% 105.31/14.99 (68) ~ (all_4_2 = e2)
% 105.31/14.99 (69) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 105.31/14.99 (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/14.99 (all_9_23 = e4 & op(e0, e1) = e4)
% 105.31/14.99 (70) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/14.99 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/14.99 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/14.99 (71) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/14.99 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/14.99 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/14.99 (72) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/14.99 (73) all_9_8 = e2
% 105.31/14.99 (74) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 105.31/14.99 (75) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/14.99 (76) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 105.31/14.99 (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 105.31/14.99 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/14.99 (77) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/14.99 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/14.99 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/14.99 (78) all_9_10 = e0
% 105.31/14.99 (79) all_6_19 = all_4_23
% 105.31/14.99 (80) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/14.99 (81) all_4_1 = e2
% 105.31/14.99 (82) all_9_2 = e2
% 105.31/14.99 (83) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/14.99 (84) ~ (e3 = e0)
% 105.31/14.99 (85) op(e0, e3) = all_4_9
% 105.31/14.99 (86) op(e1, e1) = all_4_18
% 105.31/14.99
% 105.31/14.99 Begin of proof
% 105.31/14.99 |
% 105.31/14.99 | BETA: splitting (33) gives:
% 105.31/14.99 |
% 105.31/14.99 | Case 1:
% 105.31/14.99 | |
% 105.31/14.99 | | (87) all_6_18 = e3
% 105.31/14.99 | |
% 105.31/14.99 | | COMBINE_EQS: (26), (87) imply:
% 105.31/14.99 | | (88) all_4_18 = e3
% 105.31/14.99 | |
% 105.31/14.99 | | REDUCE: (13), (88) imply:
% 105.31/14.99 | | (89) $false
% 105.31/14.99 | |
% 105.31/14.99 | | CLOSE: (89) is inconsistent.
% 105.31/14.99 | |
% 105.31/14.99 | Case 2:
% 105.31/14.99 | |
% 105.31/14.99 | | (90) ~ (all_6_18 = e3)
% 105.31/14.99 | | (91) all_6_18 = e2 | all_6_18 = e1 | all_6_18 = e0
% 105.31/14.99 | |
% 105.31/14.99 | | BETA: splitting (91) gives:
% 105.31/14.99 | |
% 105.31/14.99 | | Case 1:
% 105.31/14.99 | | |
% 105.31/14.99 | | | (92) all_6_18 = e1
% 105.31/14.99 | | |
% 105.31/14.99 | | | REF_CLOSE: (26), (52), (92) are inconsistent by sub-proof #42.
% 105.31/14.99 | | |
% 105.31/14.99 | | Case 2:
% 105.31/14.99 | | |
% 105.31/14.99 | | | (93) ~ (all_6_18 = e1)
% 105.31/14.99 | | | (94) all_6_18 = e2 | all_6_18 = e0
% 105.31/14.99 | | |
% 105.31/14.99 | | | BETA: splitting (94) gives:
% 105.31/14.99 | | |
% 105.31/14.99 | | | Case 1:
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | (95) all_6_18 = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | COMBINE_EQS: (26), (95) imply:
% 105.31/14.99 | | | | (96) all_4_18 = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | SIMP: (96) implies:
% 105.31/14.99 | | | | (97) all_4_18 = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REDUCE: (51), (97) imply:
% 105.31/14.99 | | | | (98) ~ (e4 = e2)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | SIMP: (98) implies:
% 105.31/14.99 | | | | (99) ~ (e4 = e2)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REDUCE: (13), (97) imply:
% 105.31/14.99 | | | | (100) ~ (e3 = e2)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | SIMP: (100) implies:
% 105.31/14.99 | | | | (101) ~ (e3 = e2)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REDUCE: (52), (97) imply:
% 105.31/14.99 | | | | (102) ~ (e2 = e1)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REDUCE: (16), (97) imply:
% 105.31/14.99 | | | | (103) ~ (e2 = e0)
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REDUCE: (86), (97) imply:
% 105.31/14.99 | | | | (104) op(e1, e1) = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | GROUND_INST: instantiating (39) with e2, e4, e1, e1, simplifying with
% 105.31/14.99 | | | | (54), (104) gives:
% 105.31/14.99 | | | | (105) e4 = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | COMBINE_EQS: (27), (105) imply:
% 105.31/14.99 | | | | (106) all_9_23 = e2
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 105.31/14.99 | | | | (12), (13), (14), (15), (17), (18), (19), (20), (21), (22),
% 105.31/14.99 | | | | (23), (24), (25), (28), (29), (30), (31), (32), (34), (35),
% 105.31/14.99 | | | | (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 105.31/14.99 | | | | (46), (47), (48), (49), (50), (53), (55), (56), (57), (58),
% 105.31/14.99 | | | | (59), (60), (61), (62), (63), (64), (65), (66), (67), (68),
% 105.31/14.99 | | | | (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 105.31/14.99 | | | | (79), (80), (81), (82), (83), (84), (85), (86), (99), (101),
% 105.31/14.99 | | | | (102), (103), (106) are inconsistent by sub-proof #41.
% 105.31/14.99 | | | |
% 105.31/14.99 | | | Case 2:
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | (107) all_6_18 = e0
% 105.31/14.99 | | | |
% 105.31/14.99 | | | | REF_CLOSE: (16), (26), (107) are inconsistent by sub-proof #40.
% 105.31/14.99 | | | |
% 105.31/14.99 | | | End of split
% 105.31/14.99 | | |
% 105.31/14.99 | | End of split
% 105.31/14.99 | |
% 105.31/14.99 | End of split
% 105.31/14.99 |
% 105.31/14.99 End of proof
% 105.31/14.99
% 105.31/14.99 Sub-proof #40 shows that the following formulas are inconsistent:
% 105.31/14.99 ----------------------------------------------------------------
% 105.31/14.99 (1) all_6_18 = all_4_18
% 105.31/14.99 (2) all_6_18 = e0
% 105.31/14.99 (3) ~ (all_4_18 = e0)
% 105.31/14.99
% 105.31/14.99 Begin of proof
% 105.31/14.99 |
% 105.31/14.99 | COMBINE_EQS: (1), (2) imply:
% 105.31/14.99 | (4) all_4_18 = e0
% 105.31/14.99 |
% 105.31/14.99 | SIMP: (4) implies:
% 105.31/14.99 | (5) all_4_18 = e0
% 105.31/14.99 |
% 105.31/14.99 | REDUCE: (3), (5) imply:
% 105.31/14.99 | (6) $false
% 105.31/14.99 |
% 105.31/14.99 | CLOSE: (6) is inconsistent.
% 105.31/14.99 |
% 105.31/14.99 End of proof
% 105.31/14.99
% 105.31/14.99 Sub-proof #41 shows that the following formulas are inconsistent:
% 105.31/14.99 ----------------------------------------------------------------
% 105.31/14.99 (1) ~ (op(e4, e1) = e4)
% 105.31/14.99 (2) ~ (all_4_20 = e4)
% 105.31/14.99 (3) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/14.99 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/14.99 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/14.99 (4) ~ (all_4_8 = e3)
% 105.31/14.99 (5) all_6_0 = e1
% 105.31/14.99 (6) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/14.99 (7) all_9_12 = e0
% 105.31/14.99 (8) ~ (all_4_9 = e4)
% 105.31/14.99 (9) ~ (e1 = e0)
% 105.31/15.00 (10) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/15.00 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/15.00 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/15.00 (11) all_9_1 = e0
% 105.31/15.00 (12) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/15.00 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/15.00 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.00 (13) ~ (all_4_18 = e3)
% 105.31/15.00 (14) ~ (all_4_11 = e2)
% 105.31/15.00 (15) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/15.00 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/15.00 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/15.00 (16) all_9_19 = e3
% 105.31/15.00 (17) all_9_24 = e1
% 105.31/15.00 (18) op(e4, e4) = e1
% 105.31/15.00 (19) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.00 (20) ~ (all_4_14 = e2)
% 105.31/15.00 (21) all_9_23 = e2
% 105.31/15.00 (22) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.00 (23) ~ (e4 = e1)
% 105.31/15.00 (24) ~ (all_4_23 = e1)
% 105.31/15.00 (25) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.00 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.00 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.00 (26) ~ (all_4_17 = e2)
% 105.31/15.00 (27) all_9_9 = e3
% 105.31/15.00 (28) all_9_11 = e1
% 105.31/15.00 (29) all_9_4 = e4
% 105.31/15.00 (30) all_9_22 = e0
% 105.31/15.00 (31) ~ (e4 = e3)
% 105.31/15.00 (32) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/15.00 (33) ~ (all_4_4 = e4)
% 105.31/15.00 (34) ~ (e4 = e0)
% 105.31/15.00 (35) all_9_6 = e4
% 105.31/15.00 (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.00 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.00 (37) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.00 (38) ~ (e2 = e0)
% 105.31/15.00 (39) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/15.00 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/15.00 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/15.00 (40) ~ (e3 = e1)
% 105.31/15.00 (41) ~ (all_4_21 = e3)
% 105.31/15.00 (42) ~ (e3 = e2)
% 105.31/15.00 (43) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.00 (44) ~ (op(e2, e1) = e2)
% 105.31/15.00 (45) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/15.00 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/15.00 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.00 (46) ~ (e2 = e1)
% 105.31/15.00 (47) all_9_5 = e3
% 105.31/15.00 (48) all_6_5 = e2
% 105.31/15.00 (49) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/15.00 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.00 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.00 (50) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/15.00 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.00 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/15.00 (51) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/15.00 (52) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/15.00 (53) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/15.00 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.00 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.00 (54) all_9_14 = e1
% 105.31/15.00 (55) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/15.00 (56) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.00 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.00 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.00 (57) all_6_4 = all_4_20
% 105.31/15.00 (58) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.00 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.00 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.00 (59) all_6_13 = all_4_17
% 105.31/15.00 (60) op(e3, e1) = all_4_16
% 105.31/15.00 (61) ~ (all_4_16 = e2)
% 105.31/15.00 (62) ~ (all_4_13 = e2)
% 105.31/15.00 (63) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.00 (64) all_9_18 = e0
% 105.31/15.00 (65) ~ (all_4_2 = e2)
% 105.31/15.00 (66) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 105.31/15.00 (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.00 (all_9_23 = e4 & op(e0, e1) = e4)
% 105.31/15.00 (67) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.00 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.00 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.00 (68) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/15.00 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/15.00 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/15.00 (69) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.00 (70) all_9_8 = e2
% 105.31/15.00 (71) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 105.31/15.00 (72) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/15.00 (73) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 105.31/15.00 (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 105.31/15.00 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.00 (74) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/15.00 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/15.00 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/15.00 (75) all_9_10 = e0
% 105.31/15.00 (76) all_6_19 = all_4_23
% 105.31/15.00 (77) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.00 (78) all_4_1 = e2
% 105.31/15.00 (79) all_9_2 = e2
% 105.31/15.00 (80) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/15.00 (81) ~ (e3 = e0)
% 105.31/15.00 (82) op(e0, e3) = all_4_9
% 105.31/15.00 (83) ~ (e4 = e2)
% 105.31/15.00 (84) op(e1, e1) = all_4_18
% 105.31/15.00
% 105.31/15.00 Begin of proof
% 105.31/15.00 |
% 105.31/15.00 | BETA: splitting (66) gives:
% 105.31/15.00 |
% 105.31/15.00 | Case 1:
% 105.31/15.00 | |
% 105.31/15.00 | | (85) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 105.31/15.00 | |
% 105.31/15.00 | | REF_CLOSE: (1), (34), (75), (85) are inconsistent by sub-proof #57.
% 105.31/15.00 | |
% 105.31/15.00 | Case 2:
% 105.31/15.00 | |
% 105.31/15.00 | | (86) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 105.31/15.00 | | e4) | (all_9_23 = e4 & op(e0, e1) = e4)
% 105.31/15.00 | |
% 105.31/15.00 | | BETA: splitting (86) gives:
% 105.31/15.00 | |
% 105.31/15.00 | | Case 1:
% 105.31/15.00 | | |
% 105.31/15.00 | | | (87) all_9_11 = e4 & op(e2, e1) = e4
% 105.31/15.00 | | |
% 105.31/15.00 | | | REF_CLOSE: (23), (28), (87) are inconsistent by sub-proof #56.
% 105.31/15.00 | | |
% 105.31/15.00 | | Case 2:
% 105.31/15.00 | | |
% 105.31/15.00 | | | (88) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 105.31/15.00 | | | e4)
% 105.31/15.00 | | |
% 105.31/15.00 | | | BETA: splitting (88) gives:
% 105.31/15.00 | | |
% 105.31/15.00 | | | Case 1:
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | (89) all_9_15 = e4 & op(e1, e1) = e4
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 105.31/15.00 | | | | (13), (14), (15), (16), (17), (18), (19), (20), (22), (23),
% 105.31/15.00 | | | | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33),
% 105.31/15.00 | | | | (34), (35), (36), (37), (38), (39), (40), (41), (42), (43),
% 105.31/15.00 | | | | (44), (45), (46), (47), (48), (49), (50), (51), (52), (53),
% 105.31/15.00 | | | | (54), (55), (56), (57), (58), (59), (60), (61), (62), (63),
% 105.31/15.00 | | | | (64), (65), (67), (68), (69), (70), (71), (72), (73), (74),
% 105.31/15.00 | | | | (76), (77), (78), (79), (80), (81), (82), (83), (84), (89)
% 105.31/15.00 | | | | are inconsistent by sub-proof #43.
% 105.31/15.00 | | | |
% 105.31/15.00 | | | Case 2:
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | (90) all_9_23 = e4 & op(e0, e1) = e4
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | ALPHA: (90) implies:
% 105.31/15.00 | | | | (91) all_9_23 = e4
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | COMBINE_EQS: (21), (91) imply:
% 105.31/15.00 | | | | (92) e4 = e2
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | REDUCE: (83), (92) imply:
% 105.31/15.00 | | | | (93) $false
% 105.31/15.00 | | | |
% 105.31/15.00 | | | | CLOSE: (93) is inconsistent.
% 105.31/15.00 | | | |
% 105.31/15.00 | | | End of split
% 105.31/15.00 | | |
% 105.31/15.00 | | End of split
% 105.31/15.00 | |
% 105.31/15.00 | End of split
% 105.31/15.00 |
% 105.31/15.00 End of proof
% 105.31/15.00
% 105.31/15.00 Sub-proof #42 shows that the following formulas are inconsistent:
% 105.31/15.00 ----------------------------------------------------------------
% 105.31/15.00 (1) all_6_18 = all_4_18
% 105.31/15.00 (2) all_6_18 = e1
% 105.31/15.00 (3) ~ (all_4_18 = e1)
% 105.31/15.00
% 105.31/15.00 Begin of proof
% 105.31/15.00 |
% 105.31/15.00 | COMBINE_EQS: (1), (2) imply:
% 105.31/15.00 | (4) all_4_18 = e1
% 105.31/15.00 |
% 105.31/15.00 | SIMP: (4) implies:
% 105.31/15.00 | (5) all_4_18 = e1
% 105.31/15.00 |
% 105.31/15.00 | REDUCE: (3), (5) imply:
% 105.31/15.00 | (6) $false
% 105.31/15.00 |
% 105.31/15.00 | CLOSE: (6) is inconsistent.
% 105.31/15.00 |
% 105.31/15.00 End of proof
% 105.31/15.00
% 105.31/15.00 Sub-proof #43 shows that the following formulas are inconsistent:
% 105.31/15.00 ----------------------------------------------------------------
% 105.31/15.00 (1) ~ (all_4_20 = e4)
% 105.31/15.00 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/15.00 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/15.00 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.00 (3) ~ (all_4_8 = e3)
% 105.31/15.00 (4) all_6_0 = e1
% 105.31/15.00 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/15.00 (6) all_9_12 = e0
% 105.31/15.00 (7) ~ (all_4_9 = e4)
% 105.31/15.00 (8) ~ (e1 = e0)
% 105.31/15.00 (9) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/15.00 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/15.00 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/15.00 (10) all_9_1 = e0
% 105.31/15.00 (11) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/15.00 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/15.00 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.00 (12) ~ (all_4_18 = e3)
% 105.31/15.00 (13) ~ (all_4_11 = e2)
% 105.31/15.00 (14) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/15.00 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/15.00 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/15.00 (15) all_9_19 = e3
% 105.31/15.00 (16) all_9_24 = e1
% 105.31/15.00 (17) op(e4, e4) = e1
% 105.31/15.00 (18) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.00 (19) ~ (all_4_14 = e2)
% 105.31/15.00 (20) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.00 (21) ~ (e4 = e1)
% 105.31/15.00 (22) ~ (all_4_23 = e1)
% 105.31/15.01 (23) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.01 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.01 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.01 (24) ~ (all_4_17 = e2)
% 105.31/15.01 (25) all_9_9 = e3
% 105.31/15.01 (26) all_9_11 = e1
% 105.31/15.01 (27) all_9_4 = e4
% 105.31/15.01 (28) all_9_15 = e4 & op(e1, e1) = e4
% 105.31/15.01 (29) all_9_22 = e0
% 105.31/15.01 (30) ~ (e4 = e3)
% 105.31/15.01 (31) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/15.01 (32) ~ (all_4_4 = e4)
% 105.31/15.01 (33) ~ (e4 = e0)
% 105.31/15.01 (34) all_9_6 = e4
% 105.31/15.01 (35) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.01 (36) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.01 (37) ~ (e2 = e0)
% 105.31/15.01 (38) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/15.01 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/15.01 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/15.01 (39) ~ (e3 = e1)
% 105.31/15.01 (40) ~ (all_4_21 = e3)
% 105.31/15.01 (41) ~ (e3 = e2)
% 105.31/15.01 (42) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.01 (43) ~ (op(e2, e1) = e2)
% 105.31/15.01 (44) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/15.01 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/15.01 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.01 (45) ~ (e2 = e1)
% 105.31/15.01 (46) all_9_5 = e3
% 105.31/15.01 (47) all_6_5 = e2
% 105.31/15.01 (48) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/15.01 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.01 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.01 (49) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/15.01 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.01 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/15.01 (50) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/15.01 (51) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/15.01 (52) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/15.01 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.01 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.01 (53) all_9_14 = e1
% 105.31/15.01 (54) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/15.01 (55) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.01 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.01 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.01 (56) all_6_4 = all_4_20
% 105.31/15.01 (57) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.01 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.01 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.01 (58) all_6_13 = all_4_17
% 105.31/15.01 (59) op(e3, e1) = all_4_16
% 105.31/15.01 (60) ~ (all_4_16 = e2)
% 105.31/15.01 (61) ~ (all_4_13 = e2)
% 105.31/15.01 (62) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.01 (63) all_9_18 = e0
% 105.31/15.01 (64) ~ (all_4_2 = e2)
% 105.31/15.01 (65) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.01 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.01 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.01 (66) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/15.01 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/15.01 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/15.01 (67) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.01 (68) all_9_8 = e2
% 105.31/15.01 (69) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 105.31/15.01 (70) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/15.01 (71) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) = e4) |
% 105.31/15.01 (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 105.31/15.01 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.01 (72) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/15.01 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/15.01 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/15.01 (73) all_6_19 = all_4_23
% 105.31/15.01 (74) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.01 (75) all_4_1 = e2
% 105.31/15.01 (76) all_9_2 = e2
% 105.31/15.01 (77) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/15.01 (78) ~ (e3 = e0)
% 105.31/15.01 (79) op(e0, e3) = all_4_9
% 105.31/15.01 (80) ~ (e4 = e2)
% 105.31/15.01 (81) op(e1, e1) = all_4_18
% 105.31/15.01
% 105.31/15.01 Begin of proof
% 105.31/15.01 |
% 105.31/15.01 | ALPHA: (28) implies:
% 105.31/15.01 | (82) all_9_15 = e4
% 105.31/15.01 |
% 105.31/15.01 | BETA: splitting (71) gives:
% 105.31/15.01 |
% 105.31/15.01 | Case 1:
% 105.31/15.01 | |
% 105.31/15.01 | | (83) (all_9_20 = e4 & op(e0, e4) = e4) | (all_9_21 = e4 & op(e0, e3) =
% 105.31/15.01 | | e4)
% 105.31/15.01 | |
% 105.31/15.01 | | BETA: splitting (83) gives:
% 105.31/15.01 | |
% 105.31/15.01 | | Case 1:
% 105.31/15.01 | | |
% 105.31/15.01 | | | (84) all_9_20 = e4 & op(e0, e4) = e4
% 105.31/15.01 | | |
% 105.31/15.01 | | | ALPHA: (84) implies:
% 105.31/15.01 | | | (85) op(e0, e4) = e4
% 105.31/15.01 | | |
% 105.31/15.01 | | | REF_CLOSE: (32), (69), (85) are inconsistent by sub-proof #55.
% 105.31/15.01 | | |
% 105.31/15.01 | | Case 2:
% 105.31/15.01 | | |
% 105.31/15.01 | | | (86) all_9_21 = e4 & op(e0, e3) = e4
% 105.31/15.01 | | |
% 105.31/15.01 | | | ALPHA: (86) implies:
% 105.31/15.01 | | | (87) op(e0, e3) = e4
% 105.31/15.01 | | |
% 105.31/15.01 | | | REF_CLOSE: (7), (35), (79), (87) are inconsistent by sub-proof #151.
% 105.31/15.01 | | |
% 105.31/15.01 | | End of split
% 105.31/15.01 | |
% 105.31/15.01 | Case 2:
% 105.31/15.01 | |
% 105.31/15.01 | | (88) (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 105.31/15.01 | | e4) | (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.01 | |
% 105.31/15.01 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 105.31/15.01 | | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 105.31/15.01 | | (25), (26), (27), (29), (30), (31), (33), (34), (35), (36), (37),
% 105.31/15.01 | | (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (48),
% 105.31/15.01 | | (49), (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 105.31/15.01 | | (60), (61), (62), (63), (64), (65), (66), (67), (68), (70), (72),
% 105.31/15.01 | | (73), (74), (75), (76), (77), (78), (80), (81), (82), (88) are
% 105.31/15.01 | | inconsistent by sub-proof #44.
% 105.31/15.01 | |
% 105.31/15.01 | End of split
% 105.31/15.01 |
% 105.31/15.01 End of proof
% 105.31/15.01
% 105.31/15.01 Sub-proof #44 shows that the following formulas are inconsistent:
% 105.31/15.01 ----------------------------------------------------------------
% 105.31/15.01 (1) ~ (all_4_20 = e4)
% 105.31/15.01 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/15.01 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/15.01 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.01 (3) ~ (all_4_8 = e3)
% 105.31/15.01 (4) all_6_0 = e1
% 105.31/15.01 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/15.01 (6) all_9_12 = e0
% 105.31/15.01 (7) ~ (e1 = e0)
% 105.31/15.01 (8) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/15.01 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/15.01 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/15.01 (9) all_9_1 = e0
% 105.31/15.01 (10) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/15.01 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/15.01 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.01 (11) (all_9_22 = e4 & op(e0, e2) = e4) | (all_9_23 = e4 & op(e0, e1) = e4) |
% 105.31/15.01 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.01 (12) ~ (all_4_18 = e3)
% 105.31/15.01 (13) ~ (all_4_11 = e2)
% 105.31/15.01 (14) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/15.01 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/15.01 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/15.01 (15) all_9_19 = e3
% 105.31/15.01 (16) all_9_24 = e1
% 105.31/15.01 (17) op(e4, e4) = e1
% 105.31/15.01 (18) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.01 (19) ~ (all_4_14 = e2)
% 105.31/15.01 (20) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.01 (21) ~ (e4 = e1)
% 105.31/15.01 (22) ~ (all_4_23 = e1)
% 105.31/15.01 (23) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.01 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.01 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.01 (24) ~ (all_4_17 = e2)
% 105.31/15.01 (25) all_9_9 = e3
% 105.31/15.01 (26) all_9_11 = e1
% 105.31/15.01 (27) all_9_4 = e4
% 105.31/15.01 (28) all_9_22 = e0
% 105.31/15.01 (29) ~ (e4 = e3)
% 105.31/15.01 (30) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/15.01 (31) ~ (e4 = e0)
% 105.31/15.01 (32) all_9_6 = e4
% 105.31/15.01 (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.01 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.01 (34) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.01 (35) ~ (e2 = e0)
% 105.31/15.01 (36) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/15.01 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/15.01 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/15.01 (37) ~ (e3 = e1)
% 105.31/15.01 (38) ~ (all_4_21 = e3)
% 105.31/15.01 (39) ~ (e3 = e2)
% 105.31/15.01 (40) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.01 (41) ~ (op(e2, e1) = e2)
% 105.31/15.01 (42) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/15.01 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/15.01 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.01 (43) ~ (e2 = e1)
% 105.31/15.01 (44) all_9_15 = e4
% 105.31/15.01 (45) all_9_5 = e3
% 105.31/15.01 (46) all_6_5 = e2
% 105.31/15.01 (47) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/15.01 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.01 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.01 (48) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/15.01 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.01 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/15.01 (49) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/15.01 (50) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/15.01 (51) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/15.01 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.01 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.01 (52) all_9_14 = e1
% 105.31/15.01 (53) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/15.01 (54) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.01 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.01 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.01 (55) all_6_4 = all_4_20
% 105.31/15.02 (56) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.02 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.02 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.02 (57) all_6_13 = all_4_17
% 105.31/15.02 (58) op(e3, e1) = all_4_16
% 105.31/15.02 (59) ~ (all_4_16 = e2)
% 105.31/15.02 (60) ~ (all_4_13 = e2)
% 105.31/15.02 (61) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.02 (62) all_9_18 = e0
% 105.31/15.02 (63) ~ (all_4_2 = e2)
% 105.31/15.02 (64) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.02 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.02 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.02 (65) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/15.02 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/15.02 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/15.02 (66) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.02 (67) all_9_8 = e2
% 105.31/15.02 (68) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/15.02 (69) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/15.02 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/15.02 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/15.02 (70) all_6_19 = all_4_23
% 105.31/15.02 (71) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.02 (72) all_4_1 = e2
% 105.31/15.02 (73) all_9_2 = e2
% 105.31/15.02 (74) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/15.02 (75) ~ (e3 = e0)
% 105.31/15.02 (76) ~ (e4 = e2)
% 105.31/15.02 (77) op(e1, e1) = all_4_18
% 105.31/15.02
% 105.31/15.02 Begin of proof
% 105.31/15.02 |
% 105.31/15.02 | BETA: splitting (11) gives:
% 105.31/15.02 |
% 105.31/15.02 | Case 1:
% 105.31/15.02 | |
% 105.31/15.02 | | (78) all_9_22 = e4 & op(e0, e2) = e4
% 105.31/15.02 | |
% 105.31/15.02 | | ALPHA: (78) implies:
% 105.31/15.02 | | (79) all_9_22 = e4
% 105.31/15.02 | |
% 105.31/15.02 | | COMBINE_EQS: (28), (79) imply:
% 105.31/15.02 | | (80) e4 = e0
% 105.31/15.02 | |
% 105.31/15.02 | | COMBINE_EQS: (44), (80) imply:
% 105.31/15.02 | | (81) all_9_15 = e0
% 105.31/15.02 | |
% 105.31/15.02 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (14), (17),
% 105.31/15.02 | | (18), (20), (21), (22), (23), (25), (27), (28), (29), (31), (32),
% 105.31/15.02 | | (33), (34), (35), (37), (38), (39), (40), (42), (43), (45), (46),
% 105.31/15.02 | | (47), (49), (51), (52), (54), (55), (56), (60), (61), (62), (63),
% 105.31/15.02 | | (64), (65), (66), (67), (68), (70), (71), (72), (73), (74), (75),
% 105.31/15.02 | | (76), (77), (81) are inconsistent by sub-proof #46.
% 105.31/15.02 | |
% 105.31/15.02 | Case 2:
% 105.31/15.02 | |
% 105.31/15.02 | | (82) (all_9_23 = e4 & op(e0, e1) = e4) | (all_9_24 = e4 & op(e0, e0) =
% 105.31/15.02 | | e4)
% 105.31/15.02 | |
% 105.31/15.02 | | BETA: splitting (82) gives:
% 105.31/15.02 | |
% 105.31/15.02 | | Case 1:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (83) all_9_23 = e4 & op(e0, e1) = e4
% 105.31/15.02 | | |
% 105.31/15.02 | | | ALPHA: (83) implies:
% 105.31/15.02 | | | (84) all_9_23 = e4
% 105.31/15.02 | | |
% 105.31/15.02 | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (12), (13), (15), (17), (18),
% 105.31/15.02 | | | (19), (20), (21), (23), (24), (25), (26), (27), (28), (29),
% 105.31/15.02 | | | (30), (31), (32), (33), (34), (35), (36), (37), (39), (40),
% 105.31/15.02 | | | (41), (43), (44), (45), (46), (48), (50), (53), (54), (56),
% 105.31/15.02 | | | (57), (58), (59), (60), (61), (62), (63), (64), (65), (66),
% 105.31/15.02 | | | (69), (71), (72), (73), (75), (76), (77), (84) are inconsistent
% 105.31/15.02 | | | by sub-proof #45.
% 105.31/15.02 | | |
% 105.31/15.02 | | Case 2:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (85) all_9_24 = e4 & op(e0, e0) = e4
% 105.31/15.02 | | |
% 105.31/15.02 | | | ALPHA: (85) implies:
% 105.31/15.02 | | | (86) all_9_24 = e4
% 105.31/15.02 | | |
% 105.31/15.02 | | | COMBINE_EQS: (16), (86) imply:
% 105.31/15.02 | | | (87) e4 = e1
% 105.31/15.02 | | |
% 105.31/15.02 | | | REDUCE: (21), (87) imply:
% 105.31/15.02 | | | (88) $false
% 105.31/15.02 | | |
% 105.31/15.02 | | | CLOSE: (88) is inconsistent.
% 105.31/15.02 | | |
% 105.31/15.02 | | End of split
% 105.31/15.02 | |
% 105.31/15.02 | End of split
% 105.31/15.02 |
% 105.31/15.02 End of proof
% 105.31/15.02
% 105.31/15.02 Sub-proof #45 shows that the following formulas are inconsistent:
% 105.31/15.02 ----------------------------------------------------------------
% 105.31/15.02 (1) ~ (all_4_8 = e3)
% 105.31/15.02 (2) all_6_0 = e1
% 105.31/15.02 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/15.02 (4) all_9_12 = e0
% 105.31/15.02 (5) ~ (e1 = e0)
% 105.31/15.02 (6) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.31/15.02 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.31/15.02 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.31/15.02 (7) ~ (all_4_18 = e3)
% 105.31/15.02 (8) ~ (all_4_11 = e2)
% 105.31/15.02 (9) all_9_19 = e3
% 105.31/15.02 (10) op(e4, e4) = e1
% 105.31/15.02 (11) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.02 (12) ~ (all_4_14 = e2)
% 105.31/15.02 (13) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.02 (14) ~ (e4 = e1)
% 105.31/15.02 (15) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.02 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.02 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.02 (16) all_9_23 = e4
% 105.31/15.02 (17) ~ (all_4_17 = e2)
% 105.31/15.02 (18) all_9_9 = e3
% 105.31/15.02 (19) all_9_11 = e1
% 105.31/15.02 (20) all_9_4 = e4
% 105.31/15.02 (21) all_9_22 = e0
% 105.31/15.02 (22) ~ (e4 = e3)
% 105.31/15.02 (23) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.31/15.02 (24) ~ (e4 = e0)
% 105.31/15.02 (25) all_9_6 = e4
% 105.31/15.02 (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.02 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.02 (27) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.02 (28) ~ (e2 = e0)
% 105.31/15.02 (29) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.31/15.02 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.31/15.02 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.31/15.02 (30) ~ (e3 = e1)
% 105.31/15.02 (31) ~ (e3 = e2)
% 105.31/15.02 (32) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.02 (33) ~ (op(e2, e1) = e2)
% 105.31/15.02 (34) ~ (e2 = e1)
% 105.31/15.02 (35) all_9_15 = e4
% 105.31/15.02 (36) all_9_5 = e3
% 105.31/15.02 (37) all_6_5 = e2
% 105.31/15.02 (38) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2) |
% 105.31/15.02 (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.02 (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/15.02 (39) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.31/15.02 (40) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.31/15.02 (41) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.02 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.02 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.02 (42) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.02 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.02 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.02 (43) all_6_13 = all_4_17
% 105.31/15.02 (44) op(e3, e1) = all_4_16
% 105.31/15.02 (45) ~ (all_4_16 = e2)
% 105.31/15.02 (46) ~ (all_4_13 = e2)
% 105.31/15.02 (47) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.02 (48) all_9_18 = e0
% 105.31/15.02 (49) ~ (all_4_2 = e2)
% 105.31/15.02 (50) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.02 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.02 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.02 (51) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/15.02 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/15.02 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/15.02 (52) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.02 (53) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.31/15.02 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.31/15.02 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.31/15.02 (54) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.02 (55) all_4_1 = e2
% 105.31/15.02 (56) all_9_2 = e2
% 105.31/15.02 (57) ~ (e3 = e0)
% 105.31/15.02 (58) ~ (e4 = e2)
% 105.31/15.02 (59) op(e1, e1) = all_4_18
% 105.31/15.02
% 105.31/15.02 Begin of proof
% 105.31/15.02 |
% 105.31/15.02 | BETA: splitting (38) gives:
% 105.31/15.02 |
% 105.31/15.02 | Case 1:
% 105.31/15.02 | |
% 105.31/15.02 | | (60) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2)
% 105.31/15.02 | |
% 105.31/15.02 | | BETA: splitting (60) gives:
% 105.31/15.02 | |
% 105.31/15.02 | | Case 1:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (61) all_9_9 = e2 & op(e4, e1) = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | ALPHA: (61) implies:
% 105.31/15.02 | | | (62) all_9_9 = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | COMBINE_EQS: (18), (62) imply:
% 105.31/15.02 | | | (63) e3 = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | SIMP: (63) implies:
% 105.31/15.02 | | | (64) e3 = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | COMBINE_EQS: (9), (64) imply:
% 105.31/15.02 | | | (65) all_9_19 = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 105.31/15.02 | | | (14), (15), (17), (19), (20), (21), (22), (23), (24), (25),
% 105.31/15.02 | | | (26), (27), (28), (29), (30), (31), (32), (34), (36), (37),
% 105.31/15.02 | | | (39), (40), (41), (42), (43), (46), (47), (48), (49), (50),
% 105.31/15.02 | | | (51), (52), (53), (54), (55), (56), (57), (58), (59), (65) are
% 105.31/15.02 | | | inconsistent by sub-proof #68.
% 105.31/15.02 | | |
% 105.31/15.02 | | Case 2:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (66) all_9_10 = e2 & op(e3, e1) = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | REF_CLOSE: (26), (44), (45), (66) are inconsistent by sub-proof #173.
% 105.31/15.02 | | |
% 105.31/15.02 | | End of split
% 105.31/15.02 | |
% 105.31/15.02 | Case 2:
% 105.31/15.02 | |
% 105.31/15.02 | | (67) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_15 = e2 & op(e1, e1) =
% 105.31/15.02 | | e2) | (all_9_23 = e2 & op(e0, e1) = e2)
% 105.31/15.02 | |
% 105.31/15.02 | | BETA: splitting (67) gives:
% 105.31/15.02 | |
% 105.31/15.02 | | Case 1:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (68) all_9_11 = e2 & op(e2, e1) = e2
% 105.31/15.02 | | |
% 105.31/15.02 | | | REF_CLOSE: (33), (68) are inconsistent by sub-proof #58.
% 105.31/15.02 | | |
% 105.31/15.02 | | Case 2:
% 105.31/15.02 | | |
% 105.31/15.02 | | | (69) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_23 = e2 & op(e0, e1) =
% 105.31/15.02 | | | e2)
% 105.31/15.02 | | |
% 105.31/15.02 | | | BETA: splitting (69) gives:
% 105.31/15.02 | | |
% 105.31/15.02 | | | Case 1:
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | (70) all_9_15 = e2 & op(e1, e1) = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | ALPHA: (70) implies:
% 105.31/15.02 | | | | (71) all_9_15 = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | REF_CLOSE: (35), (58), (71) are inconsistent by sub-proof #99.
% 105.31/15.02 | | | |
% 105.31/15.02 | | | Case 2:
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | (72) all_9_23 = e2 & op(e0, e1) = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | ALPHA: (72) implies:
% 105.31/15.02 | | | | (73) all_9_23 = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | COMBINE_EQS: (16), (73) imply:
% 105.31/15.02 | | | | (74) e4 = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | SIMP: (74) implies:
% 105.31/15.02 | | | | (75) e4 = e2
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | REDUCE: (58), (75) imply:
% 105.31/15.02 | | | | (76) $false
% 105.31/15.02 | | | |
% 105.31/15.02 | | | | CLOSE: (76) is inconsistent.
% 105.31/15.02 | | | |
% 105.31/15.02 | | | End of split
% 105.31/15.02 | | |
% 105.31/15.02 | | End of split
% 105.31/15.02 | |
% 105.31/15.02 | End of split
% 105.31/15.02 |
% 105.31/15.02 End of proof
% 105.31/15.02
% 105.31/15.02 Sub-proof #46 shows that the following formulas are inconsistent:
% 105.31/15.02 ----------------------------------------------------------------
% 105.31/15.03 (1) ~ (all_4_20 = e4)
% 105.31/15.03 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/15.03 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/15.03 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.03 (3) ~ (all_4_8 = e3)
% 105.31/15.03 (4) all_6_0 = e1
% 105.31/15.03 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/15.03 (6) all_9_12 = e0
% 105.31/15.03 (7) ~ (e1 = e0)
% 105.31/15.03 (8) all_9_1 = e0
% 105.31/15.03 (9) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/15.03 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/15.03 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.03 (10) ~ (all_4_18 = e3)
% 105.31/15.03 (11) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/15.03 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/15.03 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/15.03 (12) op(e4, e4) = e1
% 105.31/15.03 (13) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.03 (14) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.03 (15) ~ (e4 = e1)
% 105.31/15.03 (16) ~ (all_4_23 = e1)
% 105.31/15.03 (17) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.03 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.03 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.03 (18) all_9_9 = e3
% 105.31/15.03 (19) all_9_4 = e4
% 105.31/15.03 (20) all_9_22 = e0
% 105.31/15.03 (21) ~ (e4 = e3)
% 105.31/15.03 (22) all_9_15 = e0
% 105.31/15.03 (23) ~ (e4 = e0)
% 105.31/15.03 (24) all_9_6 = e4
% 105.31/15.03 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.03 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.03 (26) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.03 (27) ~ (e2 = e0)
% 105.31/15.03 (28) ~ (e3 = e1)
% 105.31/15.03 (29) ~ (all_4_21 = e3)
% 105.31/15.03 (30) ~ (e3 = e2)
% 105.31/15.03 (31) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.03 (32) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/15.03 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/15.03 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.03 (33) ~ (e2 = e1)
% 105.31/15.03 (34) all_9_5 = e3
% 105.31/15.03 (35) all_6_5 = e2
% 105.31/15.03 (36) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/15.03 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.03 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.03 (37) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/15.03 (38) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/15.03 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.03 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.03 (39) all_9_14 = e1
% 105.31/15.03 (40) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.03 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.03 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.03 (41) all_6_4 = all_4_20
% 105.31/15.03 (42) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.03 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.03 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.03 (43) ~ (all_4_13 = e2)
% 105.31/15.03 (44) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.03 (45) all_9_18 = e0
% 105.31/15.03 (46) ~ (all_4_2 = e2)
% 105.31/15.03 (47) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.03 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.03 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.03 (48) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.31/15.03 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.31/15.03 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.31/15.03 (49) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.03 (50) all_9_8 = e2
% 105.31/15.03 (51) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/15.03 (52) all_6_19 = all_4_23
% 105.31/15.03 (53) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.03 (54) all_4_1 = e2
% 105.31/15.03 (55) all_9_2 = e2
% 105.31/15.03 (56) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/15.03 (57) ~ (e3 = e0)
% 105.31/15.03 (58) ~ (e4 = e2)
% 105.31/15.03 (59) op(e1, e1) = all_4_18
% 105.31/15.03
% 105.31/15.03 Begin of proof
% 105.31/15.03 |
% 105.31/15.03 | BETA: splitting (42) gives:
% 105.31/15.03 |
% 105.31/15.03 | Case 1:
% 105.31/15.03 | |
% 105.31/15.03 | | (60) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) =
% 105.31/15.03 | | e3)
% 105.31/15.03 | |
% 105.31/15.03 | | REF_CLOSE: (3), (6), (49), (57), (60) are inconsistent by sub-proof #81.
% 105.31/15.03 | |
% 105.31/15.03 | Case 2:
% 105.31/15.03 | |
% 105.31/15.03 | | (61) (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) =
% 105.31/15.03 | | e3) | (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.03 | |
% 105.31/15.03 | | BETA: splitting (61) gives:
% 105.31/15.03 | |
% 105.31/15.03 | | Case 1:
% 105.31/15.03 | | |
% 105.31/15.03 | | | (62) all_9_14 = e3 & op(e1, e2) = e3
% 105.31/15.03 | | |
% 105.31/15.03 | | | ALPHA: (62) implies:
% 105.31/15.03 | | | (63) all_9_14 = e3
% 105.31/15.03 | | |
% 105.31/15.03 | | | REF_CLOSE: (4), (5), (6), (7), (12), (13), (15), (17), (19), (20), (21),
% 105.31/15.03 | | | (23), (24), (25), (26), (27), (28), (30), (31), (33), (34),
% 105.31/15.03 | | | (35), (40), (44), (46), (47), (48), (50), (53), (54), (55),
% 105.31/15.03 | | | (57), (58), (63) are inconsistent by sub-proof #75.
% 105.31/15.03 | | |
% 105.31/15.03 | | Case 2:
% 105.31/15.03 | | |
% 105.31/15.03 | | | (64) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_19 = e3 & op(e1, e0) =
% 105.31/15.03 | | | e3)
% 105.31/15.03 | | |
% 105.31/15.03 | | | BETA: splitting (64) gives:
% 105.31/15.03 | | |
% 105.31/15.03 | | | Case 1:
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | (65) all_9_15 = e3 & op(e1, e1) = e3
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | ALPHA: (65) implies:
% 105.31/15.03 | | | | (66) op(e1, e1) = e3
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | REF_CLOSE: (10), (25), (59), (66) are inconsistent by sub-proof #126.
% 105.31/15.03 | | | |
% 105.31/15.03 | | | Case 2:
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | (67) all_9_19 = e3 & op(e1, e0) = e3
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | ALPHA: (67) implies:
% 105.31/15.03 | | | | (68) all_9_19 = e3
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | BETA: splitting (36) gives:
% 105.31/15.03 | | | |
% 105.31/15.03 | | | | Case 1:
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | (69) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1,
% 105.31/15.03 | | | | | e3) = e4)
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | BETA: splitting (69) gives:
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | Case 1:
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | (70) all_9_12 = e4 & op(e1, e4) = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | ALPHA: (70) implies:
% 105.31/15.03 | | | | | | (71) op(e1, e4) = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | REF_CLOSE: (23), (31), (71) are inconsistent by sub-proof #217.
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | Case 2:
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | (72) all_9_13 = e4 & op(e1, e3) = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | ALPHA: (72) implies:
% 105.31/15.03 | | | | | | (73) all_9_13 = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 105.31/15.03 | | | | | | (12), (13), (14), (15), (16), (17), (18), (19), (21),
% 105.31/15.03 | | | | | | (22), (23), (24), (25), (26), (27), (28), (29), (30),
% 105.31/15.03 | | | | | | (31), (32), (33), (35), (36), (37), (38), (40), (41),
% 105.31/15.03 | | | | | | (42), (43), (44), (45), (46), (47), (49), (51), (52),
% 105.31/15.03 | | | | | | (53), (54), (55), (56), (57), (58), (59), (73) are
% 105.31/15.03 | | | | | | inconsistent by sub-proof #47.
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | End of split
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | Case 2:
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | (74) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1,
% 105.31/15.03 | | | | | e1) = e4) | (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | BETA: splitting (74) gives:
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | | Case 1:
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | (75) all_9_14 = e4 & op(e1, e2) = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | ALPHA: (75) implies:
% 105.31/15.03 | | | | | | (76) all_9_14 = e4
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | COMBINE_EQS: (39), (76) imply:
% 105.31/15.03 | | | | | | (77) e4 = e1
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | SIMP: (77) implies:
% 105.31/15.03 | | | | | | (78) e4 = e1
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | COMBINE_EQS: (24), (78) imply:
% 105.31/15.03 | | | | | | (79) all_9_6 = e1
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | REF_CLOSE: (4), (5), (6), (12), (13), (15), (17), (21), (23), (25),
% 105.31/15.03 | | | | | | (27), (28), (30), (31), (33), (40), (44), (46), (47),
% 105.31/15.03 | | | | | | (54), (57), (58), (79) are inconsistent by sub-proof #80.
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | Case 2:
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | (80) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1,
% 105.31/15.03 | | | | | | e0) = e4)
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | BETA: splitting (80) gives:
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | | Case 1:
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | (81) all_9_15 = e4 & op(e1, e1) = e4
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | REF_CLOSE: (4), (6), (12), (13), (15), (17), (21), (22), (23),
% 105.31/15.03 | | | | | | | (24), (25), (26), (28), (30), (31), (35), (44), (47),
% 105.31/15.03 | | | | | | | (54), (57), (58), (81) are inconsistent by sub-proof
% 105.31/15.03 | | | | | | | #49.
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | Case 2:
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | (82) all_9_19 = e4 & op(e1, e0) = e4
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | ALPHA: (82) implies:
% 105.31/15.03 | | | | | | | (83) all_9_19 = e4
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | COMBINE_EQS: (68), (83) imply:
% 105.31/15.03 | | | | | | | (84) e4 = e3
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | SIMP: (84) implies:
% 105.31/15.03 | | | | | | | (85) e4 = e3
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | REDUCE: (21), (85) imply:
% 105.31/15.03 | | | | | | | (86) $false
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | | CLOSE: (86) is inconsistent.
% 105.31/15.03 | | | | | | |
% 105.31/15.03 | | | | | | End of split
% 105.31/15.03 | | | | | |
% 105.31/15.03 | | | | | End of split
% 105.31/15.03 | | | | |
% 105.31/15.03 | | | | End of split
% 105.31/15.03 | | | |
% 105.31/15.03 | | | End of split
% 105.31/15.03 | | |
% 105.31/15.03 | | End of split
% 105.31/15.03 | |
% 105.31/15.03 | End of split
% 105.31/15.03 |
% 105.31/15.03 End of proof
% 105.31/15.03
% 105.31/15.03 Sub-proof #47 shows that the following formulas are inconsistent:
% 105.31/15.03 ----------------------------------------------------------------
% 105.31/15.03 (1) ~ (all_4_20 = e4)
% 105.31/15.03 (2) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2) |
% 105.31/15.03 (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4, e1) = e2) |
% 105.31/15.03 (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.03 (3) ~ (all_4_8 = e3)
% 105.31/15.03 (4) all_6_0 = e1
% 105.31/15.03 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.31/15.03 (6) all_9_12 = e0
% 105.31/15.03 (7) ~ (e1 = e0)
% 105.31/15.03 (8) all_9_1 = e0
% 105.31/15.03 (9) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4 & op(e3, e0) = e4) |
% 105.31/15.03 (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4 & op(e1, e0) = e4) |
% 105.31/15.03 (all_9_24 = e4 & op(e0, e0) = e4)
% 105.31/15.03 (10) ~ (all_4_18 = e3)
% 105.31/15.03 (11) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1) |
% 105.31/15.03 (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1 & op(e1, e0) = e1) |
% 105.31/15.03 (all_9_24 = e1 & op(e0, e0) = e1)
% 105.31/15.03 (12) op(e4, e4) = e1
% 105.31/15.03 (13) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.31/15.03 (14) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.31/15.03 (15) ~ (e4 = e1)
% 105.31/15.03 (16) ~ (all_4_23 = e1)
% 105.31/15.04 (17) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.31/15.04 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.31/15.04 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.31/15.04 (18) all_9_9 = e3
% 105.31/15.04 (19) all_9_4 = e4
% 105.31/15.04 (20) ~ (e4 = e3)
% 105.31/15.04 (21) all_9_15 = e0
% 105.31/15.04 (22) ~ (e4 = e0)
% 105.31/15.04 (23) all_9_6 = e4
% 105.31/15.04 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.31/15.04 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.31/15.04 (25) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.31/15.04 (26) ~ (e2 = e0)
% 105.31/15.04 (27) ~ (e3 = e1)
% 105.31/15.04 (28) ~ (all_4_21 = e3)
% 105.31/15.04 (29) ~ (e3 = e2)
% 105.31/15.04 (30) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.31/15.04 (31) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3, e0) = e3) |
% 105.31/15.04 (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1, e0) = e3) |
% 105.31/15.04 (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.04 (32) ~ (e2 = e1)
% 105.31/15.04 (33) all_6_5 = e2
% 105.31/15.04 (34) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 105.31/15.04 (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.31/15.04 (all_9_19 = e4 & op(e1, e0) = e4)
% 105.31/15.04 (35) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.31/15.04 (36) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) = e2) |
% 105.31/15.04 (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) = e2) |
% 105.31/15.04 (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.04 (37) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.31/15.04 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.31/15.04 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.31/15.04 (38) all_6_4 = all_4_20
% 105.31/15.04 (39) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.31/15.04 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.31/15.04 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.31/15.04 (40) ~ (all_4_13 = e2)
% 105.31/15.04 (41) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.31/15.04 (42) all_9_18 = e0
% 105.31/15.04 (43) ~ (all_4_2 = e2)
% 105.31/15.04 (44) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.31/15.04 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.31/15.04 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.31/15.04 (45) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.31/15.04 (46) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.31/15.04 (47) all_6_19 = all_4_23
% 105.31/15.04 (48) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.31/15.04 (49) all_4_1 = e2
% 105.31/15.04 (50) all_9_2 = e2
% 105.31/15.04 (51) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.31/15.04 (52) ~ (e3 = e0)
% 105.31/15.04 (53) all_9_13 = e4
% 105.31/15.04 (54) ~ (e4 = e2)
% 105.31/15.04 (55) op(e1, e1) = all_4_18
% 105.31/15.04
% 105.31/15.04 Begin of proof
% 105.31/15.04 |
% 105.31/15.04 | BETA: splitting (36) gives:
% 105.31/15.04 |
% 105.31/15.04 | Case 1:
% 105.31/15.04 | |
% 105.31/15.04 | | (56) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_13 = e2 & op(e1, e3) =
% 105.31/15.04 | | e2)
% 105.31/15.04 | |
% 105.31/15.04 | | BETA: splitting (56) gives:
% 105.31/15.04 | |
% 105.31/15.04 | | Case 1:
% 105.31/15.04 | | |
% 105.31/15.04 | | | (57) all_9_12 = e2 & op(e1, e4) = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | REF_CLOSE: (6), (26), (57) are inconsistent by sub-proof #54.
% 105.31/15.04 | | |
% 105.31/15.04 | | Case 2:
% 105.31/15.04 | | |
% 105.31/15.04 | | | (58) all_9_13 = e2 & op(e1, e3) = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | ALPHA: (58) implies:
% 105.31/15.04 | | | (59) all_9_13 = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | COMBINE_EQS: (53), (59) imply:
% 105.31/15.04 | | | (60) e4 = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | REDUCE: (54), (60) imply:
% 105.31/15.04 | | | (61) $false
% 105.31/15.04 | | |
% 105.31/15.04 | | | CLOSE: (61) is inconsistent.
% 105.31/15.04 | | |
% 105.31/15.04 | | End of split
% 105.31/15.04 | |
% 105.31/15.04 | Case 2:
% 105.31/15.04 | |
% 105.31/15.04 | | (62) (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_15 = e2 & op(e1, e1) =
% 105.31/15.04 | | e2) | (all_9_19 = e2 & op(e1, e0) = e2)
% 105.31/15.04 | |
% 105.31/15.04 | | BETA: splitting (62) gives:
% 105.31/15.04 | |
% 105.31/15.04 | | Case 1:
% 105.31/15.04 | | |
% 105.31/15.04 | | | (63) all_9_14 = e2 & op(e1, e2) = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | ALPHA: (63) implies:
% 105.31/15.04 | | | (64) op(e1, e2) = e2
% 105.31/15.04 | | |
% 105.31/15.04 | | | REF_CLOSE: (14), (40), (64) are inconsistent by sub-proof #202.
% 105.31/15.04 | | |
% 105.31/15.04 | | Case 2:
% 105.31/15.04 | | |
% 105.31/15.04 | | | (65) (all_9_15 = e2 & op(e1, e1) = e2) | (all_9_19 = e2 & op(e1, e0) =
% 105.31/15.04 | | | e2)
% 105.31/15.04 | | |
% 105.31/15.04 | | | BETA: splitting (65) gives:
% 105.31/15.04 | | |
% 105.31/15.04 | | | Case 1:
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | (66) all_9_15 = e2 & op(e1, e1) = e2
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | ALPHA: (66) implies:
% 105.31/15.04 | | | | (67) all_9_15 = e2
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | COMBINE_EQS: (21), (67) imply:
% 105.31/15.04 | | | | (68) e2 = e0
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | SIMP: (68) implies:
% 105.31/15.04 | | | | (69) e2 = e0
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | REDUCE: (26), (69) imply:
% 105.31/15.04 | | | | (70) $false
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | CLOSE: (70) is inconsistent.
% 105.31/15.04 | | | |
% 105.31/15.04 | | | Case 2:
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | (71) all_9_19 = e2 & op(e1, e0) = e2
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | ALPHA: (71) implies:
% 105.31/15.04 | | | | (72) all_9_19 = e2
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | BETA: splitting (31) gives:
% 105.31/15.04 | | | |
% 105.31/15.04 | | | | Case 1:
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | (73) (all_9_16 = e3 & op(e4, e0) = e3) | (all_9_17 = e3 & op(e3,
% 105.31/15.04 | | | | | e0) = e3)
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | BETA: splitting (73) gives:
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | Case 1:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | (74) all_9_16 = e3 & op(e4, e0) = e3
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | ALPHA: (74) implies:
% 105.31/15.04 | | | | | | (75) all_9_16 = e3
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | BETA: splitting (2) gives:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | Case 1:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | (76) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4,
% 105.31/15.04 | | | | | | | e3) = e2)
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | REF_CLOSE: (8), (12), (24), (26), (32), (76) are inconsistent by
% 105.31/15.04 | | | | | | | sub-proof #83.
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | Case 2:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | (77) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 & op(e4,
% 105.31/15.04 | | | | | | | e1) = e2) | (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | BETA: splitting (77) gives:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | (78) all_9_4 = e2 & op(e4, e2) = e2
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | REF_CLOSE: (19), (54), (78) are inconsistent by sub-proof #82.
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | (79) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_16 = e2 &
% 105.31/15.04 | | | | | | | | op(e4, e0) = e2)
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | BETA: splitting (79) gives:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | (80) all_9_9 = e2 & op(e4, e1) = e2
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | REF_CLOSE: (18), (29), (80) are inconsistent by sub-proof #53.
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | (81) all_9_16 = e2 & op(e4, e0) = e2
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | ALPHA: (81) implies:
% 105.31/15.04 | | | | | | | | | (82) all_9_16 = e2
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | COMBINE_EQS: (75), (82) imply:
% 105.31/15.04 | | | | | | | | | (83) e3 = e2
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | REDUCE: (29), (83) imply:
% 105.31/15.04 | | | | | | | | | (84) $false
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | CLOSE: (84) is inconsistent.
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | End of split
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | End of split
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | End of split
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | Case 2:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | (85) all_9_17 = e3 & op(e3, e0) = e3
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | REF_CLOSE: (28), (46), (85) are inconsistent by sub-proof #67.
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | End of split
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | Case 2:
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | (86) (all_9_18 = e3 & op(e2, e0) = e3) | (all_9_19 = e3 & op(e1,
% 105.31/15.04 | | | | | e0) = e3) | (all_9_24 = e3 & op(e0, e0) = e3)
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | BETA: splitting (86) gives:
% 105.31/15.04 | | | | |
% 105.31/15.04 | | | | | Case 1:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | (87) all_9_18 = e3 & op(e2, e0) = e3
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | REF_CLOSE: (42), (52), (87) are inconsistent by sub-proof #73.
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | Case 2:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | (88) (all_9_19 = e3 & op(e1, e0) = e3) | (all_9_24 = e3 & op(e0,
% 105.31/15.04 | | | | | | e0) = e3)
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | BETA: splitting (88) gives:
% 105.31/15.04 | | | | | |
% 105.31/15.04 | | | | | | Case 1:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | (89) all_9_19 = e3 & op(e1, e0) = e3
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | REF_CLOSE: (29), (72), (89) are inconsistent by sub-proof #70.
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | Case 2:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | (90) all_9_24 = e3 & op(e0, e0) = e3
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | ALPHA: (90) implies:
% 105.31/15.04 | | | | | | | (91) all_9_24 = e3
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | BETA: splitting (2) gives:
% 105.31/15.04 | | | | | | |
% 105.31/15.04 | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | (92) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 &
% 105.31/15.04 | | | | | | | | op(e4, e3) = e2)
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | REF_CLOSE: (8), (12), (24), (26), (32), (92) are inconsistent by
% 105.31/15.04 | | | | | | | | sub-proof #83.
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | (93) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_9 = e2 &
% 105.31/15.04 | | | | | | | | op(e4, e1) = e2) | (all_9_16 = e2 & op(e4, e0) = e2)
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | BETA: splitting (93) gives:
% 105.31/15.04 | | | | | | | |
% 105.31/15.04 | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | (94) all_9_4 = e2 & op(e4, e2) = e2
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | REF_CLOSE: (19), (54), (94) are inconsistent by sub-proof #82.
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | (95) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_16 = e2 &
% 105.31/15.04 | | | | | | | | | op(e4, e0) = e2)
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | BETA: splitting (95) gives:
% 105.31/15.04 | | | | | | | | |
% 105.31/15.04 | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | (96) all_9_9 = e2 & op(e4, e1) = e2
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | REF_CLOSE: (18), (29), (96) are inconsistent by sub-proof
% 105.31/15.04 | | | | | | | | | | #53.
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | (97) all_9_16 = e2 & op(e4, e0) = e2
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | ALPHA: (97) implies:
% 105.31/15.04 | | | | | | | | | | (98) all_9_16 = e2
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | BETA: splitting (39) gives:
% 105.31/15.04 | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | (99) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3
% 105.31/15.04 | | | | | | | | | | | & op(e1, e3) = e3)
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | REF_CLOSE: (3), (6), (45), (52), (99) are inconsistent by
% 105.31/15.04 | | | | | | | | | | | sub-proof #81.
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | (100) (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3
% 105.31/15.04 | | | | | | | | | | | & op(e1, e1) = e3) | (all_9_19 = e3 & op(e1, e0)
% 105.31/15.04 | | | | | | | | | | | = e3)
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | BETA: splitting (100) gives:
% 105.31/15.04 | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | (101) all_9_14 = e3 & op(e1, e2) = e3
% 105.31/15.04 | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | ALPHA: (101) implies:
% 105.31/15.04 | | | | | | | | | | | | (102) all_9_14 = e3
% 105.31/15.04 | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | BETA: splitting (17) gives:
% 105.31/15.04 | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | (103) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 &
% 105.31/15.04 | | | | | | | | | | | | | op(e3, e4) = e3)
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | REF_CLOSE: (12), (24), (25), (27), (29), (33), (103) are
% 105.31/15.04 | | | | | | | | | | | | | inconsistent by sub-proof #214.
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | (104) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3
% 105.31/15.04 | | | | | | | | | | | | | & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4)
% 105.31/15.04 | | | | | | | | | | | | | = e3)
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | BETA: splitting (104) gives:
% 105.31/15.04 | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | (105) all_9_6 = e3 & op(e2, e4) = e3
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | REF_CLOSE: (20), (23), (105) are inconsistent by sub-proof
% 105.31/15.04 | | | | | | | | | | | | | | #197.
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | (106) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3
% 105.31/15.04 | | | | | | | | | | | | | | & op(e0, e4) = e3)
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | BETA: splitting (106) gives:
% 105.31/15.04 | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | (107) all_9_12 = e3 & op(e1, e4) = e3
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | REF_CLOSE: (6), (52), (107) are inconsistent by sub-proof
% 105.31/15.04 | | | | | | | | | | | | | | | #196.
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | (108) all_9_20 = e3 & op(e0, e4) = e3
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | ALPHA: (108) implies:
% 105.31/15.04 | | | | | | | | | | | | | | | (109) all_9_20 = e3
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | BETA: splitting (11) gives:
% 105.31/15.04 | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | (110) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1
% 105.31/15.04 | | | | | | | | | | | | | | | | & op(e3, e0) = e1)
% 105.31/15.04 | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | BETA: splitting (110) gives:
% 105.31/15.04 | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.04 | | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | | (111) all_9_16 = e1 & op(e4, e0) = e1
% 105.31/15.04 | | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (12), (13), (15), (17), (20), (22),
% 105.31/15.04 | | | | | | | | | | | | | | | | | (24), (26), (27), (29), (30), (32), (37), (41),
% 105.31/15.04 | | | | | | | | | | | | | | | | | (43), (44), (49), (50), (52), (54), (98), (111)
% 105.31/15.04 | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #64.
% 105.31/15.04 | | | | | | | | | | | | | | | | |
% 105.31/15.04 | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.04 | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | (112) all_9_17 = e1 & op(e3, e0) = e1
% 105.31/15.05 | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | ALPHA: (112) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | (113) all_9_17 = e1
% 105.31/15.05 | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | (114) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_13 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | & op(e1, e3) = e4)
% 105.31/15.05 | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | (115) all_9_12 = e4 & op(e1, e4) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | ALPHA: (115) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | (116) op(e1, e4) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (30), (116) are inconsistent by sub-proof
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | #217.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | (117) all_9_13 = e4 & op(e1, e3) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (9) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | (118) (all_9_16 = e4 & op(e4, e0) = e4) | (all_9_17 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | & op(e3, e0) = e4)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (119) all_9_16 = e4 & op(e4, e0) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (119) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (120) op(e4, e0) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (38), (51), (120) are inconsistent by
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (121) all_9_17 = e4 & op(e3, e0) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (121) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (122) all_9_17 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (113), (122) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (123) e4 = e1
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (123) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (124) all_9_6 = e1
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (5), (6), (12), (13), (15), (17), (20), (22),
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (24), (26), (27), (29), (30), (32), (37), (41),
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (43), (44), (49), (52), (54), (124) are
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | End of split
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | (125) (all_9_18 = e4 & op(e2, e0) = e4) | (all_9_19 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e4) | (all_9_24 = e4 & op(e0, e0)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | = e4)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (126) all_9_18 = e4 & op(e2, e0) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (127) all_9_18 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (127) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (128) e4 = e0
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (128) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (129) all_9_6 = e0
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12), (13), (15), (17), (20), (22),
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (24), (25), (27), (29), (30), (33), (41), (44),
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (49), (52), (54), (129) are inconsistent by
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | (130) (all_9_19 = e4 & op(e1, e0) = e4) | (all_9_24 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | & op(e0, e0) = e4)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (130) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | (131) all_9_19 = e4 & op(e1, e0) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (131) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | (132) all_9_19 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (132) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | (133) e4 = e2
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (133) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | (134) all_9_13 = e2
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (135) all_9_12 = e4 & op(e1, e4) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (135) implies:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (136) op(e1, e4) = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (30), (136) are inconsistent by sub-proof
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | #217.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (133) imply:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (137) $false
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (137) is inconsistent.
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | (138) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (138) gives:
% 105.31/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (139) all_9_14 = e4 & op(e1, e2) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (139) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (140) all_9_14 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (102), (140) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (141) e4 = e3
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (141) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (142) $false
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (142) is inconsistent.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | (143) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e4)
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (143) gives:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (144) all_9_15 = e4 & op(e1, e1) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (144) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (145) all_9_15 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (21), (145) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (146) e4 = e0
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (146) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (147) all_9_6 = e0
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12), (13), (15), (17), (20), (22),
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (24), (25), (27), (29), (30), (33), (41), (44),
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (49), (52), (54), (147) are inconsistent by
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (133) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | (148) $false
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (148) is inconsistent.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | (149) all_9_24 = e4 & op(e0, e0) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (149) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | (150) all_9_24 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (150) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | (151) e4 = e3
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (151) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | (152) $false
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (152) is inconsistent.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (153) (all_9_14 = e4 & op(e1, e2) = e4) | (all_9_15 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | & op(e1, e1) = e4) | (all_9_19 = e4 & op(e1, e0)
% 105.66/15.05 | | | | | | | | | | | | | | | | | | = e4)
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | (154) all_9_14 = e4 & op(e1, e2) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (102), (154) are inconsistent by sub-proof
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | #116.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | (155) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_19 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | & op(e1, e0) = e4)
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (156) all_9_15 = e4 & op(e1, e1) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (6), (12), (13), (15), (17), (20), (21),
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (22), (23), (24), (25), (27), (29), (30), (33),
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (41), (44), (49), (52), (54), (156) are
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (157) all_9_19 = e4 & op(e1, e0) = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | ALPHA: (157) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (158) all_9_19 = e4
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (72), (158) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (159) e4 = e2
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | SIMP: (159) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (160) e4 = e2
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (160) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | (161) $false
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | (162) (all_9_18 = e1 & op(e2, e0) = e1) | (all_9_19 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | & op(e1, e0) = e1) | (all_9_24 = e1 & op(e0, e0)
% 105.66/15.05 | | | | | | | | | | | | | | | | = e1)
% 105.66/15.05 | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 105.66/15.05 | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | (163) all_9_18 = e1 & op(e2, e0) = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | ALPHA: (163) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | (164) all_9_18 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | COMBINE_EQS: (42), (164) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | (165) e1 = e0
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | SIMP: (165) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | (166) e1 = e0
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | REDUCE: (7), (166) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | (167) $false
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | CLOSE: (167) is inconsistent.
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | (168) (all_9_19 = e1 & op(e1, e0) = e1) | (all_9_24 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | & op(e0, e0) = e1)
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | Case 1:
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (169) all_9_19 = e1 & op(e1, e0) = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | ALPHA: (169) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (170) op(e1, e0) = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (35), (47), (170) are inconsistent by
% 105.66/15.05 | | | | | | | | | | | | | | | | | | sub-proof #48.
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (171) all_9_24 = e1 & op(e0, e0) = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | ALPHA: (171) implies:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (172) all_9_24 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (91), (172) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (173) e3 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (109), (173) imply:
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (174) all_9_20 = e1
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (12), (17), (20), (23), (24), (26),
% 105.66/15.05 | | | | | | | | | | | | | | | | | | (27), (29), (32), (37), (43), (48), (52), (174)
% 105.66/15.05 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #190.
% 105.66/15.05 | | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | Case 2:
% 105.66/15.05 | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | (175) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_19 = e3
% 105.66/15.05 | | | | | | | | | | | | & op(e1, e0) = e3)
% 105.66/15.05 | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | | REF_CLOSE: (10), (24), (29), (55), (72), (175) are
% 105.66/15.05 | | | | | | | | | | | | inconsistent by sub-proof #69.
% 105.66/15.05 | | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | | |
% 105.66/15.05 | | | | | | | | | End of split
% 105.66/15.05 | | | | | | | | |
% 105.66/15.05 | | | | | | | | End of split
% 105.66/15.05 | | | | | | | |
% 105.66/15.05 | | | | | | | End of split
% 105.66/15.05 | | | | | | |
% 105.66/15.05 | | | | | | End of split
% 105.66/15.05 | | | | | |
% 105.66/15.05 | | | | | End of split
% 105.66/15.05 | | | | |
% 105.66/15.05 | | | | End of split
% 105.66/15.05 | | | |
% 105.66/15.05 | | | End of split
% 105.66/15.05 | | |
% 105.66/15.05 | | End of split
% 105.66/15.05 | |
% 105.66/15.05 | End of split
% 105.66/15.05 |
% 105.66/15.05 End of proof
% 105.66/15.05
% 105.66/15.05 Sub-proof #48 shows that the following formulas are inconsistent:
% 105.66/15.05 ----------------------------------------------------------------
% 105.66/15.05 (1) all_6_19 = e1 | ~ (op(e1, e0) = e1)
% 105.66/15.05 (2) op(e1, e0) = e1
% 105.66/15.05 (3) all_6_19 = all_4_23
% 105.66/15.05 (4) ~ (all_4_23 = e1)
% 105.66/15.05
% 105.66/15.05 Begin of proof
% 105.66/15.05 |
% 105.66/15.05 | BETA: splitting (1) gives:
% 105.66/15.05 |
% 105.66/15.05 | Case 1:
% 105.66/15.05 | |
% 105.66/15.05 | | (5) ~ (op(e1, e0) = e1)
% 105.66/15.05 | |
% 105.66/15.05 | | PRED_UNIFY: (2), (5) imply:
% 105.66/15.05 | | (6) $false
% 105.66/15.05 | |
% 105.66/15.05 | | CLOSE: (6) is inconsistent.
% 105.66/15.05 | |
% 105.66/15.05 | Case 2:
% 105.66/15.05 | |
% 105.66/15.05 | | (7) all_6_19 = e1
% 105.66/15.05 | |
% 105.66/15.05 | | COMBINE_EQS: (3), (7) imply:
% 105.66/15.05 | | (8) all_4_23 = e1
% 105.66/15.05 | |
% 105.66/15.05 | | SIMP: (8) implies:
% 105.66/15.05 | | (9) all_4_23 = e1
% 105.66/15.05 | |
% 105.66/15.05 | | REDUCE: (4), (9) imply:
% 105.66/15.05 | | (10) $false
% 105.66/15.05 | |
% 105.66/15.05 | | CLOSE: (10) is inconsistent.
% 105.66/15.05 | |
% 105.66/15.05 | End of split
% 105.66/15.05 |
% 105.66/15.05 End of proof
% 105.66/15.05
% 105.66/15.05 Sub-proof #49 shows that the following formulas are inconsistent:
% 105.66/15.05 ----------------------------------------------------------------
% 105.66/15.05 (1) all_6_0 = e1
% 105.66/15.05 (2) all_9_12 = e0
% 105.66/15.05 (3) op(e4, e4) = e1
% 105.66/15.05 (4) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.05 (5) ~ (e4 = e1)
% 105.66/15.05 (6) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.05 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.05 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.05 (7) all_9_15 = e4 & op(e1, e1) = e4
% 105.66/15.05 (8) ~ (e4 = e3)
% 105.66/15.05 (9) all_9_15 = e0
% 105.66/15.05 (10) ~ (e4 = e0)
% 105.66/15.06 (11) all_9_6 = e4
% 105.66/15.06 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.06 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.06 (13) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.06 (14) ~ (e3 = e1)
% 105.66/15.06 (15) ~ (e3 = e2)
% 105.66/15.06 (16) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.06 (17) all_6_5 = e2
% 105.66/15.06 (18) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.06 (19) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.06 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.06 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.06 (20) all_4_1 = e2
% 105.66/15.06 (21) ~ (e3 = e0)
% 105.66/15.06 (22) ~ (e4 = e2)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (7) implies:
% 105.66/15.06 | (23) all_9_15 = e4
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (9), (23) imply:
% 105.66/15.06 | (24) e4 = e0
% 105.66/15.06 |
% 105.66/15.06 | SIMP: (24) implies:
% 105.66/15.06 | (25) e4 = e0
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (11), (25) imply:
% 105.66/15.06 | (26) all_9_6 = e0
% 105.66/15.06 |
% 105.66/15.06 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12), (13), (14), (15),
% 105.66/15.06 | (16), (17), (18), (19), (20), (21), (22), (26) are inconsistent by
% 105.66/15.06 | sub-proof #50.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #50 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_6_0 = e1
% 105.66/15.06 (2) all_9_12 = e0
% 105.66/15.06 (3) op(e4, e4) = e1
% 105.66/15.06 (4) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.06 (5) ~ (e4 = e1)
% 105.66/15.06 (6) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.06 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.06 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.06 (7) ~ (e4 = e3)
% 105.66/15.06 (8) ~ (e4 = e0)
% 105.66/15.06 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.06 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.06 (10) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.06 (11) ~ (e3 = e1)
% 105.66/15.06 (12) ~ (e3 = e2)
% 105.66/15.06 (13) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.06 (14) all_6_5 = e2
% 105.66/15.06 (15) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.06 (16) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.06 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.06 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.06 (17) all_9_6 = e0
% 105.66/15.06 (18) all_4_1 = e2
% 105.66/15.06 (19) ~ (e3 = e0)
% 105.66/15.06 (20) ~ (e4 = e2)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | BETA: splitting (16) gives:
% 105.66/15.06 |
% 105.66/15.06 | Case 1:
% 105.66/15.06 | |
% 105.66/15.06 | | (21) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 105.66/15.06 | |
% 105.66/15.06 | | REF_CLOSE: (1), (4), (5), (15), (18), (20), (21) are inconsistent by
% 105.66/15.06 | | sub-proof #219.
% 105.66/15.06 | |
% 105.66/15.06 | Case 2:
% 105.66/15.06 | |
% 105.66/15.06 | | (22) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 105.66/15.06 | | | (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.06 | |
% 105.66/15.06 | | BETA: splitting (22) gives:
% 105.66/15.06 | |
% 105.66/15.06 | | Case 1:
% 105.66/15.06 | | |
% 105.66/15.06 | | | (23) all_9_6 = e4 & op(e2, e4) = e4
% 105.66/15.06 | | |
% 105.66/15.06 | | | REF_CLOSE: (8), (17), (23) are inconsistent by sub-proof #51.
% 105.66/15.06 | | |
% 105.66/15.06 | | Case 2:
% 105.66/15.06 | | |
% 105.66/15.06 | | | (24) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 105.66/15.06 | | | e4)
% 105.66/15.06 | | |
% 105.66/15.06 | | | BETA: splitting (24) gives:
% 105.66/15.06 | | |
% 105.66/15.06 | | | Case 1:
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | (25) all_9_12 = e4 & op(e1, e4) = e4
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | ALPHA: (25) implies:
% 105.66/15.06 | | | | (26) op(e1, e4) = e4
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | REF_CLOSE: (8), (13), (26) are inconsistent by sub-proof #217.
% 105.66/15.06 | | | |
% 105.66/15.06 | | | Case 2:
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | (27) all_9_20 = e4 & op(e0, e4) = e4
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | ALPHA: (27) implies:
% 105.66/15.06 | | | | (28) all_9_20 = e4
% 105.66/15.06 | | | |
% 105.66/15.06 | | | | REF_CLOSE: (2), (3), (6), (7), (9), (10), (11), (12), (14), (17), (19),
% 105.66/15.06 | | | | (28) are inconsistent by sub-proof #172.
% 105.66/15.06 | | | |
% 105.66/15.06 | | | End of split
% 105.66/15.06 | | |
% 105.66/15.06 | | End of split
% 105.66/15.06 | |
% 105.66/15.06 | End of split
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #51 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_9_6 = e4 & op(e2, e4) = e4
% 105.66/15.06 (2) all_9_6 = e0
% 105.66/15.06 (3) ~ (e4 = e0)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (1) implies:
% 105.66/15.06 | (4) all_9_6 = e4
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.06 | (5) e4 = e0
% 105.66/15.06 |
% 105.66/15.06 | REDUCE: (3), (5) imply:
% 105.66/15.06 | (6) $false
% 105.66/15.06 |
% 105.66/15.06 | CLOSE: (6) is inconsistent.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #52 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_6_4 = e4 | ~ (op(e4, e0) = e4)
% 105.66/15.06 (2) op(e4, e0) = e4
% 105.66/15.06 (3) all_6_4 = all_4_20
% 105.66/15.06 (4) ~ (all_4_20 = e4)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | BETA: splitting (1) gives:
% 105.66/15.06 |
% 105.66/15.06 | Case 1:
% 105.66/15.06 | |
% 105.66/15.06 | | (5) ~ (op(e4, e0) = e4)
% 105.66/15.06 | |
% 105.66/15.06 | | PRED_UNIFY: (2), (5) imply:
% 105.66/15.06 | | (6) $false
% 105.66/15.06 | |
% 105.66/15.06 | | CLOSE: (6) is inconsistent.
% 105.66/15.06 | |
% 105.66/15.06 | Case 2:
% 105.66/15.06 | |
% 105.66/15.06 | | (7) all_6_4 = e4
% 105.66/15.06 | |
% 105.66/15.06 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #87.
% 105.66/15.06 | |
% 105.66/15.06 | End of split
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #53 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_9_9 = e2 & op(e4, e1) = e2
% 105.66/15.06 (2) all_9_9 = e3
% 105.66/15.06 (3) ~ (e3 = e2)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (1) implies:
% 105.66/15.06 | (4) all_9_9 = e2
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.06 | (5) e3 = e2
% 105.66/15.06 |
% 105.66/15.06 | SIMP: (5) implies:
% 105.66/15.06 | (6) e3 = e2
% 105.66/15.06 |
% 105.66/15.06 | REDUCE: (3), (6) imply:
% 105.66/15.06 | (7) $false
% 105.66/15.06 |
% 105.66/15.06 | CLOSE: (7) is inconsistent.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #54 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_9_12 = e2 & op(e1, e4) = e2
% 105.66/15.06 (2) all_9_12 = e0
% 105.66/15.06 (3) ~ (e2 = e0)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (1) implies:
% 105.66/15.06 | (4) all_9_12 = e2
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.06 | (5) e2 = e0
% 105.66/15.06 |
% 105.66/15.06 | SIMP: (5) implies:
% 105.66/15.06 | (6) e2 = e0
% 105.66/15.06 |
% 105.66/15.06 | REDUCE: (3), (6) imply:
% 105.66/15.06 | (7) $false
% 105.66/15.06 |
% 105.66/15.06 | CLOSE: (7) is inconsistent.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #55 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_4_4 = e4 | ~ (op(e0, e4) = e4)
% 105.66/15.06 (2) op(e0, e4) = e4
% 105.66/15.06 (3) ~ (all_4_4 = e4)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | BETA: splitting (1) gives:
% 105.66/15.06 |
% 105.66/15.06 | Case 1:
% 105.66/15.06 | |
% 105.66/15.06 | | (4) ~ (op(e0, e4) = e4)
% 105.66/15.06 | |
% 105.66/15.06 | | PRED_UNIFY: (2), (4) imply:
% 105.66/15.06 | | (5) $false
% 105.66/15.06 | |
% 105.66/15.06 | | CLOSE: (5) is inconsistent.
% 105.66/15.06 | |
% 105.66/15.06 | Case 2:
% 105.66/15.06 | |
% 105.66/15.06 | | (6) all_4_4 = e4
% 105.66/15.06 | |
% 105.66/15.06 | | REDUCE: (3), (6) imply:
% 105.66/15.06 | | (7) $false
% 105.66/15.06 | |
% 105.66/15.06 | | CLOSE: (7) is inconsistent.
% 105.66/15.06 | |
% 105.66/15.06 | End of split
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #56 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_9_11 = e4 & op(e2, e1) = e4
% 105.66/15.06 (2) all_9_11 = e1
% 105.66/15.06 (3) ~ (e4 = e1)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (1) implies:
% 105.66/15.06 | (4) all_9_11 = e4
% 105.66/15.06 |
% 105.66/15.06 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.06 | (5) e4 = e1
% 105.66/15.06 |
% 105.66/15.06 | REDUCE: (3), (5) imply:
% 105.66/15.06 | (6) $false
% 105.66/15.06 |
% 105.66/15.06 | CLOSE: (6) is inconsistent.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #57 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 105.66/15.06 (2) ~ (op(e4, e1) = e4)
% 105.66/15.06 (3) all_9_10 = e0
% 105.66/15.06 (4) ~ (e4 = e0)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | BETA: splitting (1) gives:
% 105.66/15.06 |
% 105.66/15.06 | Case 1:
% 105.66/15.06 | |
% 105.66/15.06 | | (5) all_9_9 = e4 & op(e4, e1) = e4
% 105.66/15.06 | |
% 105.66/15.06 | | REF_CLOSE: (2), (5) are inconsistent by sub-proof #112.
% 105.66/15.06 | |
% 105.66/15.06 | Case 2:
% 105.66/15.06 | |
% 105.66/15.06 | | (6) all_9_10 = e4 & op(e3, e1) = e4
% 105.66/15.06 | |
% 105.66/15.06 | | ALPHA: (6) implies:
% 105.66/15.06 | | (7) all_9_10 = e4
% 105.66/15.06 | |
% 105.66/15.06 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #109.
% 105.66/15.06 | |
% 105.66/15.06 | End of split
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #58 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) all_9_11 = e2 & op(e2, e1) = e2
% 105.66/15.06 (2) ~ (op(e2, e1) = e2)
% 105.66/15.06
% 105.66/15.06 Begin of proof
% 105.66/15.06 |
% 105.66/15.06 | ALPHA: (1) implies:
% 105.66/15.06 | (3) op(e2, e1) = e2
% 105.66/15.06 |
% 105.66/15.06 | PRED_UNIFY: (2), (3) imply:
% 105.66/15.06 | (4) $false
% 105.66/15.06 |
% 105.66/15.06 | CLOSE: (4) is inconsistent.
% 105.66/15.06 |
% 105.66/15.06 End of proof
% 105.66/15.06
% 105.66/15.06 Sub-proof #59 shows that the following formulas are inconsistent:
% 105.66/15.06 ----------------------------------------------------------------
% 105.66/15.06 (1) ~ (all_4_8 = e3)
% 105.66/15.06 (2) all_6_0 = e1
% 105.66/15.06 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.66/15.06 (4) all_9_12 = e0
% 105.66/15.06 (5) ~ (e1 = e0)
% 105.66/15.06 (6) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.66/15.06 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.66/15.06 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.66/15.06 (7) ~ (all_4_18 = e3)
% 105.66/15.06 (8) ~ (all_4_11 = e2)
% 105.66/15.06 (9) all_9_19 = e3
% 105.66/15.06 (10) op(e4, e4) = e1
% 105.66/15.06 (11) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.06 (12) ~ (all_4_14 = e2)
% 105.66/15.06 (13) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.66/15.06 (14) ~ (e4 = e1)
% 105.66/15.06 (15) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.06 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.06 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.06 (16) ~ (all_4_17 = e2)
% 105.66/15.06 (17) all_9_9 = e3
% 105.66/15.06 (18) all_9_11 = e1
% 105.66/15.06 (19) all_9_4 = e4
% 105.66/15.06 (20) all_9_22 = e0
% 105.66/15.06 (21) ~ (e4 = e3)
% 105.66/15.06 (22) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.66/15.06 (23) ~ (e4 = e0)
% 105.66/15.06 (24) all_9_6 = e4
% 105.66/15.07 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.07 (26) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.07 (27) ~ (e2 = e0)
% 105.66/15.07 (28) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.66/15.07 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.66/15.07 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.66/15.07 (29) ~ (e3 = e1)
% 105.66/15.07 (30) ~ (e3 = e2)
% 105.66/15.07 (31) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.07 (32) ~ (e2 = e1)
% 105.66/15.07 (33) all_9_5 = e3
% 105.66/15.07 (34) all_6_5 = e2
% 105.66/15.07 (35) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.66/15.07 (36) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.66/15.07 (37) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.66/15.07 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.66/15.07 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.66/15.07 (38) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.66/15.07 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.66/15.07 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.66/15.07 (39) all_6_13 = all_4_17
% 105.66/15.07 (40) (all_9_9 = e2 & op(e4, e1) = e2) | (all_9_10 = e2 & op(e3, e1) = e2)
% 105.66/15.07 (41) op(e3, e1) = all_4_16
% 105.66/15.07 (42) ~ (all_4_16 = e2)
% 105.66/15.07 (43) ~ (all_4_13 = e2)
% 105.66/15.07 (44) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.07 (45) all_9_18 = e0
% 105.66/15.07 (46) ~ (all_4_2 = e2)
% 105.66/15.07 (47) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.07 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.07 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.07 (48) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.66/15.07 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.66/15.07 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.66/15.07 (49) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.66/15.07 (50) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.66/15.07 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.66/15.07 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.66/15.07 (51) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.66/15.07 (52) all_4_1 = e2
% 105.66/15.07 (53) all_9_2 = e2
% 105.66/15.07 (54) ~ (e3 = e0)
% 105.66/15.07 (55) ~ (e4 = e2)
% 105.66/15.07 (56) op(e1, e1) = all_4_18
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | BETA: splitting (40) gives:
% 105.66/15.07 |
% 105.66/15.07 | Case 1:
% 105.66/15.07 | |
% 105.66/15.07 | | (57) all_9_9 = e2 & op(e4, e1) = e2
% 105.66/15.07 | |
% 105.66/15.07 | | ALPHA: (57) implies:
% 105.66/15.07 | | (58) all_9_9 = e2
% 105.66/15.07 | |
% 105.66/15.07 | | COMBINE_EQS: (17), (58) imply:
% 105.66/15.07 | | (59) e3 = e2
% 105.66/15.07 | |
% 105.66/15.07 | | COMBINE_EQS: (9), (59) imply:
% 105.66/15.07 | | (60) all_9_19 = e2
% 105.66/15.07 | |
% 105.66/15.07 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 105.66/15.07 | | (14), (15), (16), (18), (19), (20), (21), (22), (23), (24), (25),
% 105.66/15.07 | | (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 105.66/15.07 | | (37), (38), (39), (43), (44), (45), (46), (47), (48), (49), (50),
% 105.66/15.07 | | (51), (52), (53), (54), (55), (56), (60) are inconsistent by
% 105.66/15.07 | | sub-proof #68.
% 105.66/15.07 | |
% 105.66/15.07 | Case 2:
% 105.66/15.07 | |
% 105.66/15.07 | | (61) all_9_10 = e2 & op(e3, e1) = e2
% 105.66/15.07 | |
% 105.66/15.07 | | REF_CLOSE: (25), (41), (42), (61) are inconsistent by sub-proof #173.
% 105.66/15.07 | |
% 105.66/15.07 | End of split
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #60 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_9_12 = e4 & op(e1, e4) = e4
% 105.66/15.07 (2) ~ (op(e1, e4) = e4)
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | ALPHA: (1) implies:
% 105.66/15.07 | (3) op(e1, e4) = e4
% 105.66/15.07 |
% 105.66/15.07 | PRED_UNIFY: (2), (3) imply:
% 105.66/15.07 | (4) $false
% 105.66/15.07 |
% 105.66/15.07 | CLOSE: (4) is inconsistent.
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #61 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_9_19 = e1 & op(e1, e0) = e1
% 105.66/15.07 (2) ~ (op(e1, e0) = e1)
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | ALPHA: (1) implies:
% 105.66/15.07 | (3) op(e1, e0) = e1
% 105.66/15.07 |
% 105.66/15.07 | PRED_UNIFY: (2), (3) imply:
% 105.66/15.07 | (4) $false
% 105.66/15.07 |
% 105.66/15.07 | CLOSE: (4) is inconsistent.
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #62 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_9_18 = e1 & op(e2, e0) = e1
% 105.66/15.07 (2) all_9_18 = e0
% 105.66/15.07 (3) ~ (e1 = e0)
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | ALPHA: (1) implies:
% 105.66/15.07 | (4) all_9_18 = e1
% 105.66/15.07 |
% 105.66/15.07 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.07 | (5) e1 = e0
% 105.66/15.07 |
% 105.66/15.07 | REDUCE: (3), (5) imply:
% 105.66/15.07 | (6) $false
% 105.66/15.07 |
% 105.66/15.07 | CLOSE: (6) is inconsistent.
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #63 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_6_0 = e1
% 105.66/15.07 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.66/15.07 (3) all_9_12 = e0
% 105.66/15.07 (4) op(e4, e4) = e1
% 105.66/15.07 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.07 (6) ~ (e4 = e1)
% 105.66/15.07 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.07 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.07 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.07 (8) all_9_17 = e4
% 105.66/15.07 (9) ~ (e4 = e3)
% 105.66/15.07 (10) all_9_16 = e2
% 105.66/15.07 (11) ~ (e4 = e0)
% 105.66/15.07 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.07 (13) ~ (e2 = e0)
% 105.66/15.07 (14) ~ (e3 = e1)
% 105.66/15.07 (15) ~ (e3 = e2)
% 105.66/15.07 (16) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.07 (17) ~ (e2 = e1)
% 105.66/15.07 (18) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.66/15.07 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.66/15.07 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.66/15.07 (19) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.07 (20) ~ (all_4_2 = e2)
% 105.66/15.07 (21) (all_9_16 = e1 & op(e4, e0) = e1) | (all_9_17 = e1 & op(e3, e0) = e1)
% 105.66/15.07 (22) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.07 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.07 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.07 (23) all_4_1 = e2
% 105.66/15.07 (24) all_9_2 = e2
% 105.66/15.07 (25) ~ (e3 = e0)
% 105.66/15.07 (26) ~ (e4 = e2)
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | BETA: splitting (21) gives:
% 105.66/15.07 |
% 105.66/15.07 | Case 1:
% 105.66/15.07 | |
% 105.66/15.07 | | (27) all_9_16 = e1 & op(e4, e0) = e1
% 105.66/15.07 | |
% 105.66/15.07 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13),
% 105.66/15.07 | | (14), (15), (16), (17), (18), (19), (20), (22), (23), (24), (25),
% 105.66/15.07 | | (26), (27) are inconsistent by sub-proof #64.
% 105.66/15.07 | |
% 105.66/15.07 | Case 2:
% 105.66/15.07 | |
% 105.66/15.07 | | (28) all_9_17 = e1 & op(e3, e0) = e1
% 105.66/15.07 | |
% 105.66/15.07 | | ALPHA: (28) implies:
% 105.66/15.07 | | (29) all_9_17 = e1
% 105.66/15.07 | |
% 105.66/15.07 | | COMBINE_EQS: (8), (29) imply:
% 105.66/15.07 | | (30) e4 = e1
% 105.66/15.07 | |
% 105.66/15.07 | | SIMP: (30) implies:
% 105.66/15.07 | | (31) e4 = e1
% 105.66/15.07 | |
% 105.66/15.07 | | REDUCE: (6), (31) imply:
% 105.66/15.07 | | (32) $false
% 105.66/15.07 | |
% 105.66/15.07 | | CLOSE: (32) is inconsistent.
% 105.66/15.07 | |
% 105.66/15.07 | End of split
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #64 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_6_0 = e1
% 105.66/15.07 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.66/15.07 (3) all_9_12 = e0
% 105.66/15.07 (4) op(e4, e4) = e1
% 105.66/15.07 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.07 (6) ~ (e4 = e1)
% 105.66/15.07 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.07 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.07 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.07 (8) ~ (e4 = e3)
% 105.66/15.07 (9) all_9_16 = e2
% 105.66/15.07 (10) all_9_16 = e1 & op(e4, e0) = e1
% 105.66/15.07 (11) ~ (e4 = e0)
% 105.66/15.07 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.07 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.07 (13) ~ (e2 = e0)
% 105.66/15.07 (14) ~ (e3 = e1)
% 105.66/15.07 (15) ~ (e3 = e2)
% 105.66/15.07 (16) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.07 (17) ~ (e2 = e1)
% 105.66/15.07 (18) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.66/15.07 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.66/15.07 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.66/15.07 (19) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.07 (20) ~ (all_4_2 = e2)
% 105.66/15.07 (21) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.07 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.07 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.07 (22) all_4_1 = e2
% 105.66/15.07 (23) all_9_2 = e2
% 105.66/15.07 (24) ~ (e3 = e0)
% 105.66/15.07 (25) ~ (e4 = e2)
% 105.66/15.07
% 105.66/15.07 Begin of proof
% 105.66/15.07 |
% 105.66/15.07 | ALPHA: (10) implies:
% 105.66/15.07 | (26) all_9_16 = e1
% 105.66/15.07 |
% 105.66/15.07 | COMBINE_EQS: (9), (26) imply:
% 105.66/15.07 | (27) e2 = e1
% 105.66/15.07 |
% 105.66/15.07 | COMBINE_EQS: (23), (27) imply:
% 105.66/15.07 | (28) all_9_2 = e1
% 105.66/15.07 |
% 105.66/15.07 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (11), (12), (13), (14),
% 105.66/15.07 | (15), (16), (17), (18), (19), (20), (21), (22), (24), (25), (28)
% 105.66/15.07 | are inconsistent by sub-proof #181.
% 105.66/15.07 |
% 105.66/15.07 End of proof
% 105.66/15.07
% 105.66/15.07 Sub-proof #65 shows that the following formulas are inconsistent:
% 105.66/15.07 ----------------------------------------------------------------
% 105.66/15.07 (1) all_9_5 = e4 & op(e3, e2) = e4
% 105.66/15.07 (2) ~ (e4 = e3)
% 105.66/15.07 (3) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.07 (4) ~ (all_4_21 = e3)
% 105.66/15.07 (5) ~ (e3 = e2)
% 105.66/15.07 (6) all_6_5 = e2
% 105.66/15.07 (7) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 105.66/15.08 (8) ~ (all_4_6 = e3)
% 105.66/15.08 (9) ~ (all_4_16 = e3)
% 105.66/15.08 (10) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 105.66/15.08 (11) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 105.66/15.08 (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 105.66/15.08 (all_9_17 = e3 & op(e3, e0) = e3)
% 105.66/15.08 (12) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | ALPHA: (1) implies:
% 105.66/15.08 | (13) all_9_5 = e4
% 105.66/15.08 |
% 105.66/15.08 | BETA: splitting (11) gives:
% 105.66/15.08 |
% 105.66/15.08 | Case 1:
% 105.66/15.08 | |
% 105.66/15.08 | | (14) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3)
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (3), (5), (6), (8), (10), (14) are inconsistent by sub-proof
% 105.66/15.08 | | #201.
% 105.66/15.08 | |
% 105.66/15.08 | Case 2:
% 105.66/15.08 | |
% 105.66/15.08 | | (15) (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3)
% 105.66/15.08 | | | (all_9_17 = e3 & op(e3, e0) = e3)
% 105.66/15.08 | |
% 105.66/15.08 | | BETA: splitting (15) gives:
% 105.66/15.08 | |
% 105.66/15.08 | | Case 1:
% 105.66/15.08 | | |
% 105.66/15.08 | | | (16) all_9_5 = e3 & op(e3, e2) = e3
% 105.66/15.08 | | |
% 105.66/15.08 | | | ALPHA: (16) implies:
% 105.66/15.08 | | | (17) all_9_5 = e3
% 105.66/15.08 | | |
% 105.66/15.08 | | | COMBINE_EQS: (13), (17) imply:
% 105.66/15.08 | | | (18) e4 = e3
% 105.66/15.08 | | |
% 105.66/15.08 | | | REDUCE: (2), (18) imply:
% 105.66/15.08 | | | (19) $false
% 105.66/15.08 | | |
% 105.66/15.08 | | | CLOSE: (19) is inconsistent.
% 105.66/15.08 | | |
% 105.66/15.08 | | Case 2:
% 105.66/15.08 | | |
% 105.66/15.08 | | | (20) (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_17 = e3 & op(e3, e0) =
% 105.66/15.08 | | | e3)
% 105.66/15.08 | | |
% 105.66/15.08 | | | REF_CLOSE: (4), (7), (9), (12), (20) are inconsistent by sub-proof #66.
% 105.66/15.08 | | |
% 105.66/15.08 | | End of split
% 105.66/15.08 | |
% 105.66/15.08 | End of split
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #66 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) ~ (all_4_21 = e3)
% 105.66/15.08 (2) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 105.66/15.08 (3) (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_17 = e3 & op(e3, e0) = e3)
% 105.66/15.08 (4) ~ (all_4_16 = e3)
% 105.66/15.08 (5) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | BETA: splitting (3) gives:
% 105.66/15.08 |
% 105.66/15.08 | Case 1:
% 105.66/15.08 | |
% 105.66/15.08 | | (6) all_9_10 = e3 & op(e3, e1) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | ALPHA: (6) implies:
% 105.66/15.08 | | (7) op(e3, e1) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #199.
% 105.66/15.08 | |
% 105.66/15.08 | Case 2:
% 105.66/15.08 | |
% 105.66/15.08 | | (8) all_9_17 = e3 & op(e3, e0) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #67.
% 105.66/15.08 | |
% 105.66/15.08 | End of split
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #67 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) all_9_17 = e3 & op(e3, e0) = e3
% 105.66/15.08 (2) all_4_21 = e3 | ~ (op(e3, e0) = e3)
% 105.66/15.08 (3) ~ (all_4_21 = e3)
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | ALPHA: (1) implies:
% 105.66/15.08 | (4) op(e3, e0) = e3
% 105.66/15.08 |
% 105.66/15.08 | BETA: splitting (2) gives:
% 105.66/15.08 |
% 105.66/15.08 | Case 1:
% 105.66/15.08 | |
% 105.66/15.08 | | (5) ~ (op(e3, e0) = e3)
% 105.66/15.08 | |
% 105.66/15.08 | | PRED_UNIFY: (4), (5) imply:
% 105.66/15.08 | | (6) $false
% 105.66/15.08 | |
% 105.66/15.08 | | CLOSE: (6) is inconsistent.
% 105.66/15.08 | |
% 105.66/15.08 | Case 2:
% 105.66/15.08 | |
% 105.66/15.08 | | (7) all_4_21 = e3
% 105.66/15.08 | |
% 105.66/15.08 | | REDUCE: (3), (7) imply:
% 105.66/15.08 | | (8) $false
% 105.66/15.08 | |
% 105.66/15.08 | | CLOSE: (8) is inconsistent.
% 105.66/15.08 | |
% 105.66/15.08 | End of split
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #68 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) ~ (all_4_8 = e3)
% 105.66/15.08 (2) all_6_0 = e1
% 105.66/15.08 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.66/15.08 (4) all_9_12 = e0
% 105.66/15.08 (5) ~ (e1 = e0)
% 105.66/15.08 (6) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.66/15.08 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.66/15.08 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.66/15.08 (7) ~ (all_4_18 = e3)
% 105.66/15.08 (8) ~ (all_4_11 = e2)
% 105.66/15.08 (9) op(e4, e4) = e1
% 105.66/15.08 (10) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.08 (11) ~ (all_4_14 = e2)
% 105.66/15.08 (12) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.66/15.08 (13) ~ (e4 = e1)
% 105.66/15.08 (14) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.08 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.08 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.08 (15) ~ (all_4_17 = e2)
% 105.66/15.08 (16) all_9_19 = e2
% 105.66/15.08 (17) all_9_11 = e1
% 105.66/15.08 (18) all_9_4 = e4
% 105.66/15.08 (19) all_9_22 = e0
% 105.66/15.08 (20) ~ (e4 = e3)
% 105.66/15.08 (21) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.66/15.08 (22) ~ (e4 = e0)
% 105.66/15.08 (23) all_9_6 = e4
% 105.66/15.08 (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.08 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.08 (25) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.08 (26) ~ (e2 = e0)
% 105.66/15.08 (27) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.66/15.08 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.66/15.08 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.66/15.08 (28) ~ (e3 = e1)
% 105.66/15.08 (29) ~ (e3 = e2)
% 105.66/15.08 (30) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.08 (31) ~ (e2 = e1)
% 105.66/15.08 (32) all_9_5 = e3
% 105.66/15.08 (33) all_6_5 = e2
% 105.66/15.08 (34) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.66/15.08 (35) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.66/15.08 (36) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.66/15.08 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.66/15.08 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.66/15.08 (37) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3) |
% 105.66/15.08 (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) = e3) |
% 105.66/15.08 (all_9_19 = e3 & op(e1, e0) = e3)
% 105.66/15.08 (38) all_6_13 = all_4_17
% 105.66/15.08 (39) ~ (all_4_13 = e2)
% 105.66/15.08 (40) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.08 (41) all_9_18 = e0
% 105.66/15.08 (42) ~ (all_4_2 = e2)
% 105.66/15.08 (43) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.08 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.08 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.08 (44) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.66/15.08 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.66/15.08 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.66/15.08 (45) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.66/15.08 (46) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.66/15.08 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.66/15.08 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.66/15.08 (47) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.66/15.08 (48) all_4_1 = e2
% 105.66/15.08 (49) all_9_2 = e2
% 105.66/15.08 (50) ~ (e3 = e0)
% 105.66/15.08 (51) ~ (e4 = e2)
% 105.66/15.08 (52) op(e1, e1) = all_4_18
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | BETA: splitting (37) gives:
% 105.66/15.08 |
% 105.66/15.08 | Case 1:
% 105.66/15.08 | |
% 105.66/15.08 | | (53) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) =
% 105.66/15.08 | | e3)
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (1), (4), (45), (50), (53) are inconsistent by sub-proof #81.
% 105.66/15.08 | |
% 105.66/15.08 | Case 2:
% 105.66/15.08 | |
% 105.66/15.08 | | (54) (all_9_14 = e3 & op(e1, e2) = e3) | (all_9_15 = e3 & op(e1, e1) =
% 105.66/15.08 | | e3) | (all_9_19 = e3 & op(e1, e0) = e3)
% 105.66/15.08 | |
% 105.66/15.08 | | BETA: splitting (54) gives:
% 105.66/15.08 | |
% 105.66/15.08 | | Case 1:
% 105.66/15.08 | | |
% 105.66/15.08 | | | (55) all_9_14 = e3 & op(e1, e2) = e3
% 105.66/15.08 | | |
% 105.66/15.08 | | | ALPHA: (55) implies:
% 105.66/15.08 | | | (56) all_9_14 = e3
% 105.66/15.08 | | |
% 105.66/15.08 | | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (11), (12), (13),
% 105.66/15.08 | | | (14), (15), (17), (18), (19), (20), (21), (22), (23), (24),
% 105.66/15.08 | | | (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 105.66/15.08 | | | (35), (36), (38), (39), (40), (41), (42), (43), (44), (46),
% 105.66/15.08 | | | (47), (48), (49), (50), (51), (56) are inconsistent by
% 105.66/15.08 | | | sub-proof #71.
% 105.66/15.08 | | |
% 105.66/15.08 | | Case 2:
% 105.66/15.08 | | |
% 105.66/15.08 | | | (57) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_19 = e3 & op(e1, e0) =
% 105.66/15.08 | | | e3)
% 105.66/15.08 | | |
% 105.66/15.08 | | | REF_CLOSE: (7), (16), (24), (29), (52), (57) are inconsistent by sub-proof
% 105.66/15.08 | | | #69.
% 105.66/15.08 | | |
% 105.66/15.08 | | End of split
% 105.66/15.08 | |
% 105.66/15.08 | End of split
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #69 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) ~ (all_4_18 = e3)
% 105.66/15.08 (2) all_9_19 = e2
% 105.66/15.08 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.08 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.08 (4) ~ (e3 = e2)
% 105.66/15.08 (5) (all_9_15 = e3 & op(e1, e1) = e3) | (all_9_19 = e3 & op(e1, e0) = e3)
% 105.66/15.08 (6) op(e1, e1) = all_4_18
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | BETA: splitting (5) gives:
% 105.66/15.08 |
% 105.66/15.08 | Case 1:
% 105.66/15.08 | |
% 105.66/15.08 | | (7) all_9_15 = e3 & op(e1, e1) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | ALPHA: (7) implies:
% 105.66/15.08 | | (8) op(e1, e1) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (1), (3), (6), (8) are inconsistent by sub-proof #126.
% 105.66/15.08 | |
% 105.66/15.08 | Case 2:
% 105.66/15.08 | |
% 105.66/15.08 | | (9) all_9_19 = e3 & op(e1, e0) = e3
% 105.66/15.08 | |
% 105.66/15.08 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #70.
% 105.66/15.08 | |
% 105.66/15.08 | End of split
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #70 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) all_9_19 = e3 & op(e1, e0) = e3
% 105.66/15.08 (2) all_9_19 = e2
% 105.66/15.08 (3) ~ (e3 = e2)
% 105.66/15.08
% 105.66/15.08 Begin of proof
% 105.66/15.08 |
% 105.66/15.08 | ALPHA: (1) implies:
% 105.66/15.08 | (4) all_9_19 = e3
% 105.66/15.08 |
% 105.66/15.08 | COMBINE_EQS: (2), (4) imply:
% 105.66/15.08 | (5) e3 = e2
% 105.66/15.08 |
% 105.66/15.08 | SIMP: (5) implies:
% 105.66/15.08 | (6) e3 = e2
% 105.66/15.08 |
% 105.66/15.08 | REDUCE: (3), (6) imply:
% 105.66/15.08 | (7) $false
% 105.66/15.08 |
% 105.66/15.08 | CLOSE: (7) is inconsistent.
% 105.66/15.08 |
% 105.66/15.08 End of proof
% 105.66/15.08
% 105.66/15.08 Sub-proof #71 shows that the following formulas are inconsistent:
% 105.66/15.08 ----------------------------------------------------------------
% 105.66/15.08 (1) all_6_0 = e1
% 105.66/15.08 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.66/15.08 (3) all_9_12 = e0
% 105.66/15.08 (4) ~ (e1 = e0)
% 105.66/15.08 (5) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 105.66/15.08 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 105.66/15.08 (all_9_18 = e2 & op(e2, e0) = e2)
% 105.66/15.08 (6) ~ (all_4_11 = e2)
% 105.66/15.08 (7) op(e4, e4) = e1
% 105.66/15.08 (8) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.66/15.08 (9) ~ (all_4_14 = e2)
% 105.66/15.08 (10) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.66/15.08 (11) ~ (e4 = e1)
% 105.66/15.08 (12) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.08 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.08 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.08 (13) ~ (all_4_17 = e2)
% 105.66/15.08 (14) all_9_11 = e1
% 105.66/15.09 (15) all_9_4 = e4
% 105.66/15.09 (16) all_9_22 = e0
% 105.66/15.09 (17) ~ (e4 = e3)
% 105.66/15.09 (18) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.66/15.09 (19) ~ (e4 = e0)
% 105.66/15.09 (20) all_9_6 = e4
% 105.66/15.09 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.09 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.09 (22) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.09 (23) ~ (e2 = e0)
% 105.66/15.09 (24) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3) |
% 105.66/15.09 (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.66/15.09 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.66/15.09 (25) ~ (e3 = e1)
% 105.66/15.09 (26) ~ (e3 = e2)
% 105.66/15.09 (27) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.66/15.09 (28) ~ (e2 = e1)
% 105.66/15.09 (29) all_9_5 = e3
% 105.66/15.09 (30) all_6_5 = e2
% 105.66/15.09 (31) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.66/15.09 (32) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.66/15.09 (33) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.66/15.09 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.66/15.09 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.66/15.09 (34) all_9_14 = e3
% 105.66/15.09 (35) all_6_13 = all_4_17
% 105.66/15.09 (36) ~ (all_4_13 = e2)
% 105.66/15.09 (37) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.66/15.09 (38) all_9_18 = e0
% 105.66/15.09 (39) ~ (all_4_2 = e2)
% 105.66/15.09 (40) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.66/15.09 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.66/15.09 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.66/15.09 (41) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.66/15.09 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.66/15.09 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.66/15.09 (42) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.66/15.09 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.66/15.09 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.66/15.09 (43) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.66/15.09 (44) all_4_1 = e2
% 105.66/15.09 (45) all_9_2 = e2
% 105.66/15.09 (46) ~ (e3 = e0)
% 105.66/15.09 (47) ~ (e4 = e2)
% 105.66/15.09
% 105.66/15.09 Begin of proof
% 105.66/15.09 |
% 105.66/15.09 | BETA: splitting (24) gives:
% 105.66/15.09 |
% 105.66/15.09 | Case 1:
% 105.66/15.09 | |
% 105.66/15.09 | | (48) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_7 = e3 & op(e2, e3) = e3)
% 105.66/15.09 | |
% 105.66/15.09 | | BETA: splitting (48) gives:
% 105.66/15.09 | |
% 105.66/15.09 | | Case 1:
% 105.66/15.09 | | |
% 105.66/15.09 | | | (49) all_9_6 = e3 & op(e2, e4) = e3
% 105.66/15.09 | | |
% 105.66/15.09 | | | REF_CLOSE: (17), (20), (49) are inconsistent by sub-proof #197.
% 105.66/15.09 | | |
% 105.66/15.09 | | Case 2:
% 105.66/15.09 | | |
% 105.66/15.09 | | | (50) all_9_7 = e3 & op(e2, e3) = e3
% 105.66/15.09 | | |
% 105.66/15.09 | | | ALPHA: (50) implies:
% 105.66/15.09 | | | (51) all_9_7 = e3
% 105.66/15.09 | | |
% 105.66/15.09 | | | BETA: splitting (5) gives:
% 105.66/15.09 | | |
% 105.66/15.09 | | | Case 1:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | (52) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) =
% 105.66/15.09 | | | | e2)
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | BETA: splitting (52) gives:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | Case 1:
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | (53) all_9_6 = e2 & op(e2, e4) = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | REF_CLOSE: (2), (39), (53) are inconsistent by sub-proof #210.
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | Case 2:
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | (54) all_9_7 = e2 & op(e2, e3) = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | ALPHA: (54) implies:
% 105.66/15.09 | | | | | (55) all_9_7 = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | COMBINE_EQS: (51), (55) imply:
% 105.66/15.09 | | | | | (56) e3 = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | REDUCE: (26), (56) imply:
% 105.66/15.09 | | | | | (57) $false
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | CLOSE: (57) is inconsistent.
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | End of split
% 105.66/15.09 | | | |
% 105.66/15.09 | | | Case 2:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | (58) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) =
% 105.66/15.09 | | | | e2) | (all_9_18 = e2 & op(e2, e0) = e2)
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | BETA: splitting (58) gives:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | Case 1:
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | (59) all_9_8 = e2 & op(e2, e2) = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | ALPHA: (59) implies:
% 105.66/15.09 | | | | | (60) all_9_8 = e2
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (11), (12), (15), (16), (17),
% 105.66/15.09 | | | | | (19), (20), (21), (22), (23), (25), (26), (27), (28), (29),
% 105.66/15.09 | | | | | (30), (33), (34), (37), (39), (40), (41), (43), (44), (45),
% 105.66/15.09 | | | | | (46), (47), (60) are inconsistent by sub-proof #75.
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | Case 2:
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | (61) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2,
% 105.66/15.09 | | | | | e0) = e2)
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | | REF_CLOSE: (13), (23), (31), (35), (38), (61) are inconsistent by
% 105.66/15.09 | | | | | sub-proof #74.
% 105.66/15.09 | | | | |
% 105.66/15.09 | | | | End of split
% 105.66/15.09 | | | |
% 105.66/15.09 | | | End of split
% 105.66/15.09 | | |
% 105.66/15.09 | | End of split
% 105.66/15.09 | |
% 105.66/15.09 | Case 2:
% 105.66/15.09 | |
% 105.66/15.09 | | (62) (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3)
% 105.66/15.09 | | | (all_9_18 = e3 & op(e2, e0) = e3)
% 105.66/15.09 | |
% 105.66/15.09 | | REF_CLOSE: (3), (6), (7), (9), (10), (12), (14), (15), (17), (18), (20),
% 105.66/15.09 | | (21), (22), (25), (26), (30), (32), (36), (38), (42), (46), (47),
% 105.66/15.09 | | (62) are inconsistent by sub-proof #72.
% 105.66/15.09 | |
% 105.66/15.09 | End of split
% 105.66/15.09 |
% 105.66/15.09 End of proof
% 105.66/15.09
% 105.66/15.09 Sub-proof #72 shows that the following formulas are inconsistent:
% 105.66/15.09 ----------------------------------------------------------------
% 105.66/15.09 (1) all_9_12 = e0
% 105.66/15.09 (2) ~ (all_4_11 = e2)
% 105.66/15.09 (3) (all_9_8 = e3 & op(e2, e2) = e3) | (all_9_11 = e3 & op(e2, e1) = e3) |
% 105.66/15.09 (all_9_18 = e3 & op(e2, e0) = e3)
% 105.66/15.09 (4) op(e4, e4) = e1
% 105.66/15.09 (5) ~ (all_4_14 = e2)
% 105.66/15.09 (6) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 105.66/15.09 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.66/15.09 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.66/15.09 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.09 (8) all_9_11 = e1
% 105.66/15.09 (9) all_9_4 = e4
% 105.66/15.09 (10) ~ (e4 = e3)
% 105.66/15.09 (11) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 105.66/15.09 (12) all_9_6 = e4
% 105.66/15.09 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.66/15.09 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.66/15.09 (14) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.66/15.09 (15) ~ (e3 = e1)
% 105.66/15.09 (16) ~ (e3 = e2)
% 105.66/15.09 (17) all_6_5 = e2
% 105.66/15.09 (18) all_4_14 = e2 | ~ (op(e0, e2) = e2)
% 105.66/15.09 (19) ~ (all_4_13 = e2)
% 105.66/15.09 (20) all_9_18 = e0
% 105.66/15.09 (21) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3, e2) = e2) |
% 105.66/15.09 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1, e2) = e2) |
% 105.66/15.09 (all_9_22 = e2 & op(e0, e2) = e2)
% 105.66/15.09 (22) ~ (e3 = e0)
% 105.66/15.09 (23) ~ (e4 = e2)
% 105.66/15.09
% 105.66/15.09 Begin of proof
% 105.66/15.09 |
% 105.66/15.09 | BETA: splitting (3) gives:
% 105.66/15.09 |
% 105.66/15.09 | Case 1:
% 105.66/15.09 | |
% 105.66/15.09 | | (24) all_9_8 = e3 & op(e2, e2) = e3
% 105.66/15.09 | |
% 105.66/15.09 | | ALPHA: (24) implies:
% 105.66/15.09 | | (25) all_9_8 = e3
% 105.66/15.09 | |
% 105.66/15.09 | | BETA: splitting (7) gives:
% 105.66/15.09 | |
% 105.66/15.09 | | Case 1:
% 105.66/15.09 | | |
% 105.66/15.09 | | | (26) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) =
% 105.66/15.09 | | | e3)
% 105.66/15.09 | | |
% 105.66/15.09 | | | REF_CLOSE: (4), (13), (14), (15), (16), (17), (26) are inconsistent by
% 105.66/15.09 | | | sub-proof #214.
% 105.66/15.09 | | |
% 105.66/15.09 | | Case 2:
% 105.66/15.09 | | |
% 105.66/15.09 | | | (27) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) =
% 105.66/15.09 | | | e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 105.66/15.09 | | |
% 105.66/15.09 | | | BETA: splitting (27) gives:
% 105.66/15.09 | | |
% 105.66/15.09 | | | Case 1:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | (28) all_9_6 = e3 & op(e2, e4) = e3
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | REF_CLOSE: (10), (12), (28) are inconsistent by sub-proof #197.
% 105.66/15.09 | | | |
% 105.66/15.09 | | | Case 2:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | (29) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4)
% 105.66/15.09 | | | | = e3)
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | BETA: splitting (29) gives:
% 105.66/15.09 | | | |
% 105.66/15.09 | | | | Case 1:
% 105.66/15.09 | | | | |
% 105.84/15.09 | | | | | (30) all_9_12 = e3 & op(e1, e4) = e3
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | | REF_CLOSE: (1), (22), (30) are inconsistent by sub-proof #196.
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | Case 2:
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | | (31) all_9_20 = e3 & op(e0, e4) = e3
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | | ALPHA: (31) implies:
% 105.84/15.09 | | | | | (32) all_9_20 = e3
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | | BETA: splitting (21) gives:
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | | Case 1:
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | (33) (all_9_4 = e2 & op(e4, e2) = e2) | (all_9_5 = e2 & op(e3,
% 105.84/15.09 | | | | | | e2) = e2)
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | BETA: splitting (33) gives:
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | Case 1:
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | (34) all_9_4 = e2 & op(e4, e2) = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | REF_CLOSE: (9), (23), (34) are inconsistent by sub-proof #82.
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | Case 2:
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | (35) all_9_5 = e2 & op(e3, e2) = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | ALPHA: (35) implies:
% 105.84/15.09 | | | | | | | (36) op(e3, e2) = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | REF_CLOSE: (2), (11), (36) are inconsistent by sub-proof #203.
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | End of split
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | Case 2:
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | (37) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_14 = e2 & op(e1,
% 105.84/15.09 | | | | | | e2) = e2) | (all_9_22 = e2 & op(e0, e2) = e2)
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | BETA: splitting (37) gives:
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | | Case 1:
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | (38) all_9_8 = e2 & op(e2, e2) = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | ALPHA: (38) implies:
% 105.84/15.09 | | | | | | | (39) all_9_8 = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | COMBINE_EQS: (25), (39) imply:
% 105.84/15.09 | | | | | | | (40) e3 = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | COMBINE_EQS: (32), (40) imply:
% 105.84/15.09 | | | | | | | (41) all_9_20 = e2
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | REF_CLOSE: (1), (4), (7), (10), (12), (13), (14), (15), (16),
% 105.84/15.09 | | | | | | | (17), (22), (41) are inconsistent by sub-proof #157.
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | Case 2:
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | (42) (all_9_14 = e2 & op(e1, e2) = e2) | (all_9_22 = e2 &
% 105.84/15.09 | | | | | | | op(e0, e2) = e2)
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | BETA: splitting (42) gives:
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | | Case 1:
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | (43) all_9_14 = e2 & op(e1, e2) = e2
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | ALPHA: (43) implies:
% 105.84/15.09 | | | | | | | | (44) op(e1, e2) = e2
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | REF_CLOSE: (6), (19), (44) are inconsistent by sub-proof #202.
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | Case 2:
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | (45) all_9_22 = e2 & op(e0, e2) = e2
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | ALPHA: (45) implies:
% 105.84/15.09 | | | | | | | | (46) op(e0, e2) = e2
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | BETA: splitting (18) gives:
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | | Case 1:
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | (47) ~ (op(e0, e2) = e2)
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | PRED_UNIFY: (46), (47) imply:
% 105.84/15.09 | | | | | | | | | (48) $false
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | CLOSE: (48) is inconsistent.
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | Case 2:
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | (49) all_4_14 = e2
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | REDUCE: (5), (49) imply:
% 105.84/15.09 | | | | | | | | | (50) $false
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | | CLOSE: (50) is inconsistent.
% 105.84/15.09 | | | | | | | | |
% 105.84/15.09 | | | | | | | | End of split
% 105.84/15.09 | | | | | | | |
% 105.84/15.09 | | | | | | | End of split
% 105.84/15.09 | | | | | | |
% 105.84/15.09 | | | | | | End of split
% 105.84/15.09 | | | | | |
% 105.84/15.09 | | | | | End of split
% 105.84/15.09 | | | | |
% 105.84/15.09 | | | | End of split
% 105.84/15.09 | | | |
% 105.84/15.09 | | | End of split
% 105.84/15.09 | | |
% 105.84/15.09 | | End of split
% 105.84/15.09 | |
% 105.84/15.09 | Case 2:
% 105.84/15.09 | |
% 105.84/15.09 | | (51) (all_9_11 = e3 & op(e2, e1) = e3) | (all_9_18 = e3 & op(e2, e0) =
% 105.84/15.09 | | e3)
% 105.84/15.09 | |
% 105.84/15.09 | | BETA: splitting (51) gives:
% 105.84/15.09 | |
% 105.84/15.09 | | Case 1:
% 105.84/15.09 | | |
% 105.84/15.09 | | | (52) all_9_11 = e3 & op(e2, e1) = e3
% 105.84/15.09 | | |
% 105.84/15.09 | | | ALPHA: (52) implies:
% 105.84/15.09 | | | (53) all_9_11 = e3
% 105.84/15.09 | | |
% 105.84/15.09 | | | COMBINE_EQS: (8), (53) imply:
% 105.84/15.09 | | | (54) e3 = e1
% 105.84/15.09 | | |
% 105.84/15.09 | | | SIMP: (54) implies:
% 105.84/15.09 | | | (55) e3 = e1
% 105.84/15.09 | | |
% 105.84/15.09 | | | REDUCE: (15), (55) imply:
% 105.84/15.09 | | | (56) $false
% 105.84/15.09 | | |
% 105.84/15.09 | | | CLOSE: (56) is inconsistent.
% 105.84/15.09 | | |
% 105.84/15.09 | | Case 2:
% 105.84/15.09 | | |
% 105.84/15.09 | | | (57) all_9_18 = e3 & op(e2, e0) = e3
% 105.84/15.09 | | |
% 105.84/15.09 | | | REF_CLOSE: (20), (22), (57) are inconsistent by sub-proof #73.
% 105.84/15.09 | | |
% 105.84/15.09 | | End of split
% 105.84/15.09 | |
% 105.84/15.09 | End of split
% 105.84/15.09 |
% 105.84/15.09 End of proof
% 105.84/15.09
% 105.84/15.09 Sub-proof #73 shows that the following formulas are inconsistent:
% 105.84/15.09 ----------------------------------------------------------------
% 105.84/15.09 (1) all_9_18 = e3 & op(e2, e0) = e3
% 105.84/15.09 (2) all_9_18 = e0
% 105.84/15.09 (3) ~ (e3 = e0)
% 105.84/15.09
% 105.84/15.09 Begin of proof
% 105.84/15.09 |
% 105.84/15.09 | ALPHA: (1) implies:
% 105.84/15.09 | (4) all_9_18 = e3
% 105.84/15.09 |
% 105.84/15.09 | COMBINE_EQS: (2), (4) imply:
% 105.84/15.09 | (5) e3 = e0
% 105.84/15.09 |
% 105.84/15.09 | SIMP: (5) implies:
% 105.84/15.09 | (6) e3 = e0
% 105.84/15.09 |
% 105.84/15.09 | REDUCE: (3), (6) imply:
% 105.84/15.09 | (7) $false
% 105.84/15.09 |
% 105.84/15.09 | CLOSE: (7) is inconsistent.
% 105.84/15.09 |
% 105.84/15.09 End of proof
% 105.84/15.09
% 105.84/15.09 Sub-proof #74 shows that the following formulas are inconsistent:
% 105.84/15.09 ----------------------------------------------------------------
% 105.84/15.09 (1) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2, e0) = e2)
% 105.84/15.09 (2) ~ (all_4_17 = e2)
% 105.84/15.09 (3) ~ (e2 = e0)
% 105.84/15.09 (4) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 105.84/15.09 (5) all_6_13 = all_4_17
% 105.84/15.09 (6) all_9_18 = e0
% 105.84/15.09
% 105.84/15.09 Begin of proof
% 105.84/15.09 |
% 105.84/15.09 | BETA: splitting (1) gives:
% 105.84/15.09 |
% 105.84/15.09 | Case 1:
% 105.84/15.09 | |
% 105.84/15.09 | | (7) all_9_11 = e2 & op(e2, e1) = e2
% 105.84/15.09 | |
% 105.84/15.09 | | ALPHA: (7) implies:
% 105.84/15.09 | | (8) op(e2, e1) = e2
% 105.84/15.09 | |
% 105.84/15.09 | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #208.
% 105.84/15.09 | |
% 105.84/15.09 | Case 2:
% 105.84/15.09 | |
% 105.84/15.09 | | (9) all_9_18 = e2 & op(e2, e0) = e2
% 105.84/15.09 | |
% 105.84/15.09 | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #155.
% 105.84/15.09 | |
% 105.84/15.09 | End of split
% 105.84/15.09 |
% 105.84/15.09 End of proof
% 105.84/15.09
% 105.84/15.09 Sub-proof #75 shows that the following formulas are inconsistent:
% 105.84/15.09 ----------------------------------------------------------------
% 105.84/15.09 (1) all_6_0 = e1
% 105.84/15.09 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.09 (3) all_9_12 = e0
% 105.84/15.09 (4) ~ (e1 = e0)
% 105.84/15.09 (5) op(e4, e4) = e1
% 105.84/15.09 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.09 (7) ~ (e4 = e1)
% 105.84/15.09 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.09 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.09 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.09 (9) all_9_4 = e4
% 105.84/15.09 (10) all_9_22 = e0
% 105.84/15.10 (11) ~ (e4 = e3)
% 105.84/15.10 (12) ~ (e4 = e0)
% 105.84/15.10 (13) all_9_6 = e4
% 105.84/15.10 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.10 (15) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.10 (16) ~ (e2 = e0)
% 105.84/15.10 (17) ~ (e3 = e1)
% 105.84/15.10 (18) ~ (e3 = e2)
% 105.84/15.10 (19) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.10 (20) ~ (e2 = e1)
% 105.84/15.10 (21) all_9_5 = e3
% 105.84/15.10 (22) all_6_5 = e2
% 105.84/15.10 (23) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.10 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.10 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.10 (24) all_9_14 = e3
% 105.84/15.10 (25) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.10 (26) ~ (all_4_2 = e2)
% 105.84/15.10 (27) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.10 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.10 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.10 (28) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.10 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.10 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.10 (29) all_9_8 = e2
% 105.84/15.10 (30) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.84/15.10 (31) all_4_1 = e2
% 105.84/15.10 (32) all_9_2 = e2
% 105.84/15.10 (33) ~ (e3 = e0)
% 105.84/15.10 (34) ~ (e4 = e2)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | BETA: splitting (8) gives:
% 105.84/15.10 |
% 105.84/15.10 | Case 1:
% 105.84/15.10 | |
% 105.84/15.10 | | (35) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3)
% 105.84/15.10 | |
% 105.84/15.10 | | REF_CLOSE: (5), (14), (15), (17), (18), (22), (35) are inconsistent by
% 105.84/15.10 | | sub-proof #214.
% 105.84/15.10 | |
% 105.84/15.10 | Case 2:
% 105.84/15.10 | |
% 105.84/15.10 | | (36) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3)
% 105.84/15.10 | | | (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.10 | |
% 105.84/15.10 | | BETA: splitting (36) gives:
% 105.84/15.10 | |
% 105.84/15.10 | | Case 1:
% 105.84/15.10 | | |
% 105.84/15.10 | | | (37) all_9_6 = e3 & op(e2, e4) = e3
% 105.84/15.10 | | |
% 105.84/15.10 | | | REF_CLOSE: (11), (13), (37) are inconsistent by sub-proof #197.
% 105.84/15.10 | | |
% 105.84/15.10 | | Case 2:
% 105.84/15.10 | | |
% 105.84/15.10 | | | (38) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) =
% 105.84/15.10 | | | e3)
% 105.84/15.10 | | |
% 105.84/15.10 | | | BETA: splitting (38) gives:
% 105.84/15.10 | | |
% 105.84/15.10 | | | Case 1:
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | (39) all_9_12 = e3 & op(e1, e4) = e3
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | REF_CLOSE: (3), (33), (39) are inconsistent by sub-proof #196.
% 105.84/15.10 | | | |
% 105.84/15.10 | | | Case 2:
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | (40) all_9_20 = e3 & op(e0, e4) = e3
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | ALPHA: (40) implies:
% 105.84/15.10 | | | | (41) all_9_20 = e3
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | BETA: splitting (28) gives:
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | Case 1:
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | (42) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2)
% 105.84/15.10 | | | | | = e1)
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | BETA: splitting (42) gives:
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | Case 1:
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | (43) all_9_4 = e1 & op(e4, e2) = e1
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (11), (12), (13),
% 105.84/15.10 | | | | | | (14), (16), (17), (18), (19), (20), (23), (25), (26),
% 105.84/15.10 | | | | | | (27), (31), (33), (34), (43) are inconsistent by
% 105.84/15.10 | | | | | | sub-proof #79.
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | Case 2:
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | (44) all_9_5 = e1 & op(e3, e2) = e1
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | REF_CLOSE: (2), (3), (5), (8), (11), (13), (14), (16), (17), (18),
% 105.84/15.10 | | | | | | (20), (21), (23), (26), (30), (33), (41), (44) are
% 105.84/15.10 | | | | | | inconsistent by sub-proof #78.
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | End of split
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | Case 2:
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | (45) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2)
% 105.84/15.10 | | | | | = e1) | (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | BETA: splitting (45) gives:
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | | Case 1:
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | (46) all_9_8 = e1 & op(e2, e2) = e1
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (11), (12), (14),
% 105.84/15.10 | | | | | | (16), (17), (18), (19), (20), (23), (25), (26), (27),
% 105.84/15.10 | | | | | | (29), (31), (32), (33), (34), (46) are inconsistent by
% 105.84/15.10 | | | | | | sub-proof #77.
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | Case 2:
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | (47) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0,
% 105.84/15.10 | | | | | | e2) = e1)
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | BETA: splitting (47) gives:
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | | Case 1:
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | (48) all_9_14 = e1 & op(e1, e2) = e1
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | ALPHA: (48) implies:
% 105.84/15.10 | | | | | | | (49) all_9_14 = e1
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | COMBINE_EQS: (24), (49) imply:
% 105.84/15.10 | | | | | | | (50) e3 = e1
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | COMBINE_EQS: (41), (50) imply:
% 105.84/15.10 | | | | | | | (51) all_9_20 = e1
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | REF_CLOSE: (2), (3), (5), (8), (11), (13), (14), (16), (17), (18),
% 105.84/15.10 | | | | | | | (20), (23), (26), (30), (33), (51) are inconsistent by
% 105.84/15.10 | | | | | | | sub-proof #190.
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | Case 2:
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | (52) all_9_22 = e1 & op(e0, e2) = e1
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | | REF_CLOSE: (4), (10), (52) are inconsistent by sub-proof #76.
% 105.84/15.10 | | | | | | |
% 105.84/15.10 | | | | | | End of split
% 105.84/15.10 | | | | | |
% 105.84/15.10 | | | | | End of split
% 105.84/15.10 | | | | |
% 105.84/15.10 | | | | End of split
% 105.84/15.10 | | | |
% 105.84/15.10 | | | End of split
% 105.84/15.10 | | |
% 105.84/15.10 | | End of split
% 105.84/15.10 | |
% 105.84/15.10 | End of split
% 105.84/15.10 |
% 105.84/15.10 End of proof
% 105.84/15.10
% 105.84/15.10 Sub-proof #76 shows that the following formulas are inconsistent:
% 105.84/15.10 ----------------------------------------------------------------
% 105.84/15.10 (1) all_9_22 = e1 & op(e0, e2) = e1
% 105.84/15.10 (2) all_9_22 = e0
% 105.84/15.10 (3) ~ (e1 = e0)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | ALPHA: (1) implies:
% 105.84/15.10 | (4) all_9_22 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (2), (4) imply:
% 105.84/15.10 | (5) e1 = e0
% 105.84/15.10 |
% 105.84/15.10 | SIMP: (5) implies:
% 105.84/15.10 | (6) e1 = e0
% 105.84/15.10 |
% 105.84/15.10 | REDUCE: (3), (6) imply:
% 105.84/15.10 | (7) $false
% 105.84/15.10 |
% 105.84/15.10 | CLOSE: (7) is inconsistent.
% 105.84/15.10 |
% 105.84/15.10 End of proof
% 105.84/15.10
% 105.84/15.10 Sub-proof #77 shows that the following formulas are inconsistent:
% 105.84/15.10 ----------------------------------------------------------------
% 105.84/15.10 (1) all_6_0 = e1
% 105.84/15.10 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.10 (3) all_9_12 = e0
% 105.84/15.10 (4) op(e4, e4) = e1
% 105.84/15.10 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.10 (6) ~ (e4 = e1)
% 105.84/15.10 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.10 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.10 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.10 (8) ~ (e4 = e3)
% 105.84/15.10 (9) ~ (e4 = e0)
% 105.84/15.10 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.10 (11) ~ (e2 = e0)
% 105.84/15.10 (12) ~ (e3 = e1)
% 105.84/15.10 (13) ~ (e3 = e2)
% 105.84/15.10 (14) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.10 (15) ~ (e2 = e1)
% 105.84/15.10 (16) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.10 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.10 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.10 (17) all_9_8 = e1 & op(e2, e2) = e1
% 105.84/15.10 (18) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.10 (19) ~ (all_4_2 = e2)
% 105.84/15.10 (20) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.10 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.10 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.10 (21) all_9_8 = e2
% 105.84/15.10 (22) all_4_1 = e2
% 105.84/15.10 (23) all_9_2 = e2
% 105.84/15.10 (24) ~ (e3 = e0)
% 105.84/15.10 (25) ~ (e4 = e2)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | ALPHA: (17) implies:
% 105.84/15.10 | (26) all_9_8 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (21), (26) imply:
% 105.84/15.10 | (27) e2 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (23), (27) imply:
% 105.84/15.10 | (28) all_9_2 = e1
% 105.84/15.10 |
% 105.84/15.10 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 105.84/15.10 | (13), (14), (15), (16), (18), (19), (20), (22), (24), (25), (28)
% 105.84/15.10 | are inconsistent by sub-proof #181.
% 105.84/15.10 |
% 105.84/15.10 End of proof
% 105.84/15.10
% 105.84/15.10 Sub-proof #78 shows that the following formulas are inconsistent:
% 105.84/15.10 ----------------------------------------------------------------
% 105.84/15.10 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.10 (2) all_9_12 = e0
% 105.84/15.10 (3) op(e4, e4) = e1
% 105.84/15.10 (4) all_9_5 = e1 & op(e3, e2) = e1
% 105.84/15.10 (5) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.10 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.10 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.10 (6) ~ (e4 = e3)
% 105.84/15.10 (7) all_9_6 = e4
% 105.84/15.10 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.10 (9) ~ (e2 = e0)
% 105.84/15.10 (10) ~ (e3 = e1)
% 105.84/15.10 (11) ~ (e3 = e2)
% 105.84/15.10 (12) ~ (e2 = e1)
% 105.84/15.10 (13) all_9_5 = e3
% 105.84/15.10 (14) all_9_20 = e3
% 105.84/15.10 (15) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.10 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.10 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.10 (16) ~ (all_4_2 = e2)
% 105.84/15.10 (17) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.84/15.10 (18) ~ (e3 = e0)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | ALPHA: (4) implies:
% 105.84/15.10 | (19) all_9_5 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (13), (19) imply:
% 105.84/15.10 | (20) e3 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (14), (20) imply:
% 105.84/15.10 | (21) all_9_20 = e1
% 105.84/15.10 |
% 105.84/15.10 | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (15),
% 105.84/15.10 | (16), (17), (18), (21) are inconsistent by sub-proof #190.
% 105.84/15.10 |
% 105.84/15.10 End of proof
% 105.84/15.10
% 105.84/15.10 Sub-proof #79 shows that the following formulas are inconsistent:
% 105.84/15.10 ----------------------------------------------------------------
% 105.84/15.10 (1) all_6_0 = e1
% 105.84/15.10 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.10 (3) all_9_12 = e0
% 105.84/15.10 (4) all_9_4 = e1 & op(e4, e2) = e1
% 105.84/15.10 (5) op(e4, e4) = e1
% 105.84/15.10 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.10 (7) ~ (e4 = e1)
% 105.84/15.10 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.10 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.10 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.10 (9) all_9_4 = e4
% 105.84/15.10 (10) ~ (e4 = e3)
% 105.84/15.10 (11) ~ (e4 = e0)
% 105.84/15.10 (12) all_9_6 = e4
% 105.84/15.10 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.10 (14) ~ (e2 = e0)
% 105.84/15.10 (15) ~ (e3 = e1)
% 105.84/15.10 (16) ~ (e3 = e2)
% 105.84/15.10 (17) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.10 (18) ~ (e2 = e1)
% 105.84/15.10 (19) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.10 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.10 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.10 (20) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.10 (21) ~ (all_4_2 = e2)
% 105.84/15.10 (22) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.10 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.10 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.10 (23) all_4_1 = e2
% 105.84/15.10 (24) ~ (e3 = e0)
% 105.84/15.10 (25) ~ (e4 = e2)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | ALPHA: (4) implies:
% 105.84/15.10 | (26) all_9_4 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (9), (26) imply:
% 105.84/15.10 | (27) e4 = e1
% 105.84/15.10 |
% 105.84/15.10 | COMBINE_EQS: (12), (27) imply:
% 105.84/15.10 | (28) all_9_6 = e1
% 105.84/15.10 |
% 105.84/15.10 | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (11), (13), (14), (15),
% 105.84/15.10 | (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (28)
% 105.84/15.10 | are inconsistent by sub-proof #80.
% 105.84/15.10 |
% 105.84/15.10 End of proof
% 105.84/15.10
% 105.84/15.10 Sub-proof #80 shows that the following formulas are inconsistent:
% 105.84/15.10 ----------------------------------------------------------------
% 105.84/15.10 (1) all_6_0 = e1
% 105.84/15.10 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.10 (3) all_9_12 = e0
% 105.84/15.10 (4) op(e4, e4) = e1
% 105.84/15.10 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.10 (6) ~ (e4 = e1)
% 105.84/15.10 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.10 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.10 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.10 (8) all_9_6 = e1
% 105.84/15.10 (9) ~ (e4 = e3)
% 105.84/15.10 (10) ~ (e4 = e0)
% 105.84/15.10 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.10 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.10 (12) ~ (e2 = e0)
% 105.84/15.10 (13) ~ (e3 = e1)
% 105.84/15.10 (14) ~ (e3 = e2)
% 105.84/15.10 (15) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.10 (16) ~ (e2 = e1)
% 105.84/15.10 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.10 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.10 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.10 (18) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.10 (19) ~ (all_4_2 = e2)
% 105.84/15.10 (20) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.10 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.10 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.10 (21) all_4_1 = e2
% 105.84/15.10 (22) ~ (e3 = e0)
% 105.84/15.10 (23) ~ (e4 = e2)
% 105.84/15.10
% 105.84/15.10 Begin of proof
% 105.84/15.10 |
% 105.84/15.10 | BETA: splitting (20) gives:
% 105.84/15.10 |
% 105.84/15.10 | Case 1:
% 105.84/15.10 | |
% 105.84/15.10 | | (24) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 105.84/15.10 | |
% 105.84/15.10 | | REF_CLOSE: (1), (5), (6), (18), (21), (23), (24) are inconsistent by
% 105.84/15.10 | | sub-proof #219.
% 105.84/15.10 | |
% 105.84/15.10 | Case 2:
% 105.84/15.10 | |
% 105.84/15.10 | | (25) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 105.84/15.10 | | | (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.10 | |
% 105.84/15.10 | | BETA: splitting (25) gives:
% 105.84/15.10 | |
% 105.84/15.10 | | Case 1:
% 105.84/15.10 | | |
% 105.84/15.10 | | | (26) all_9_6 = e4 & op(e2, e4) = e4
% 105.84/15.10 | | |
% 105.84/15.10 | | | ALPHA: (26) implies:
% 105.84/15.10 | | | (27) all_9_6 = e4
% 105.84/15.10 | | |
% 105.84/15.10 | | | COMBINE_EQS: (8), (27) imply:
% 105.84/15.10 | | | (28) e4 = e1
% 105.84/15.10 | | |
% 105.84/15.10 | | | SIMP: (28) implies:
% 105.84/15.10 | | | (29) e4 = e1
% 105.84/15.10 | | |
% 105.84/15.10 | | | REDUCE: (6), (29) imply:
% 105.84/15.10 | | | (30) $false
% 105.84/15.10 | | |
% 105.84/15.10 | | | CLOSE: (30) is inconsistent.
% 105.84/15.10 | | |
% 105.84/15.10 | | Case 2:
% 105.84/15.10 | | |
% 105.84/15.10 | | | (31) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 105.84/15.10 | | | e4)
% 105.84/15.10 | | |
% 105.84/15.10 | | | BETA: splitting (31) gives:
% 105.84/15.10 | | |
% 105.84/15.10 | | | Case 1:
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | (32) all_9_12 = e4 & op(e1, e4) = e4
% 105.84/15.10 | | | |
% 105.84/15.10 | | | | ALPHA: (32) implies:
% 105.84/15.11 | | | | (33) op(e1, e4) = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | REF_CLOSE: (10), (15), (33) are inconsistent by sub-proof #217.
% 105.84/15.11 | | | |
% 105.84/15.11 | | | Case 2:
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | (34) all_9_20 = e4 & op(e0, e4) = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | ALPHA: (34) implies:
% 105.84/15.11 | | | | (35) all_9_20 = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (11), (12), (13), (14), (16),
% 105.84/15.11 | | | | (17), (19), (22), (23), (35) are inconsistent by sub-proof
% 105.84/15.11 | | | | #185.
% 105.84/15.11 | | | |
% 105.84/15.11 | | | End of split
% 105.84/15.11 | | |
% 105.84/15.11 | | End of split
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #81 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_13 = e3 & op(e1, e3) = e3)
% 105.84/15.11 (2) ~ (all_4_8 = e3)
% 105.84/15.11 (3) all_9_12 = e0
% 105.84/15.11 (4) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 105.84/15.11 (5) ~ (e3 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (6) all_9_12 = e3 & op(e1, e4) = e3
% 105.84/15.11 | |
% 105.84/15.11 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #196.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_9_13 = e3 & op(e1, e3) = e3
% 105.84/15.11 | |
% 105.84/15.11 | | ALPHA: (7) implies:
% 105.84/15.11 | | (8) op(e1, e3) = e3
% 105.84/15.11 | |
% 105.84/15.11 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #211.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #82 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_9_4 = e2 & op(e4, e2) = e2
% 105.84/15.11 (2) all_9_4 = e4
% 105.84/15.11 (3) ~ (e4 = e2)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | ALPHA: (1) implies:
% 105.84/15.11 | (4) all_9_4 = e2
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (2), (4) imply:
% 105.84/15.11 | (5) e4 = e2
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (5) imply:
% 105.84/15.11 | (6) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (6) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #83 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_9_1 = e0
% 105.84/15.11 (2) op(e4, e4) = e1
% 105.84/15.11 (3) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_1 = e2 & op(e4, e3) = e2)
% 105.84/15.11 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.11 (5) ~ (e2 = e0)
% 105.84/15.11 (6) ~ (e2 = e1)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (3) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_9_0 = e2 & op(e4, e4) = e2
% 105.84/15.11 | |
% 105.84/15.11 | | ALPHA: (7) implies:
% 105.84/15.11 | | (8) op(e4, e4) = e2
% 105.84/15.11 | |
% 105.84/15.11 | | REF_CLOSE: (2), (4), (6), (8) are inconsistent by sub-proof #222.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (9) all_9_1 = e2 & op(e4, e3) = e2
% 105.84/15.11 | |
% 105.84/15.11 | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #84.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #84 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_9_1 = e2 & op(e4, e3) = e2
% 105.84/15.11 (2) all_9_1 = e0
% 105.84/15.11 (3) ~ (e2 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | ALPHA: (1) implies:
% 105.84/15.11 | (4) all_9_1 = e2
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (2), (4) imply:
% 105.84/15.11 | (5) e2 = e0
% 105.84/15.11 |
% 105.84/15.11 | SIMP: (5) implies:
% 105.84/15.11 | (6) e2 = e0
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (6) imply:
% 105.84/15.11 | (7) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (7) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #85 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_4 = all_4_20
% 105.84/15.11 (2) all_6_4 = e1
% 105.84/15.11 (3) ~ (all_4_20 = e1)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.11 | (4) all_4_20 = e1
% 105.84/15.11 |
% 105.84/15.11 | SIMP: (4) implies:
% 105.84/15.11 | (5) all_4_20 = e1
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (5) imply:
% 105.84/15.11 | (6) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (6) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #86 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_4 = all_4_20
% 105.84/15.11 (2) all_6_4 = e3
% 105.84/15.11 (3) ~ (all_4_20 = e3)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.11 | (4) all_4_20 = e3
% 105.84/15.11 |
% 105.84/15.11 | SIMP: (4) implies:
% 105.84/15.11 | (5) all_4_20 = e3
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (5) imply:
% 105.84/15.11 | (6) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (6) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #87 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_4 = all_4_20
% 105.84/15.11 (2) all_6_4 = e4
% 105.84/15.11 (3) ~ (all_4_20 = e4)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.11 | (4) all_4_20 = e4
% 105.84/15.11 |
% 105.84/15.11 | SIMP: (4) implies:
% 105.84/15.11 | (5) all_4_20 = e4
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (5) imply:
% 105.84/15.11 | (6) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (6) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #88 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_4 = e0 | ~ (op(e4, e0) = e0)
% 105.84/15.11 (2) op(e4, e0) = e0
% 105.84/15.11 (3) all_6_4 = all_4_20
% 105.84/15.11 (4) ~ (all_4_20 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (5) ~ (op(e4, e0) = e0)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (5) imply:
% 105.84/15.11 | | (6) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (6) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_6_4 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #89.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #89 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_4 = all_4_20
% 105.84/15.11 (2) all_6_4 = e0
% 105.84/15.11 (3) ~ (all_4_20 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.11 | (4) all_4_20 = e0
% 105.84/15.11 |
% 105.84/15.11 | SIMP: (4) implies:
% 105.84/15.11 | (5) all_4_20 = e0
% 105.84/15.11 |
% 105.84/15.11 | REDUCE: (3), (5) imply:
% 105.84/15.11 | (6) $false
% 105.84/15.11 |
% 105.84/15.11 | CLOSE: (6) is inconsistent.
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #90 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_24 = e0 | ~ (op(e0, e0) = e0)
% 105.84/15.11 (2) op(e0, e0) = e0
% 105.84/15.11 (3) all_6_24 = all_4_24
% 105.84/15.11 (4) ~ (all_4_24 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (5) ~ (op(e0, e0) = e0)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (5) imply:
% 105.84/15.11 | | (6) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (6) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_6_24 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | COMBINE_EQS: (3), (7) imply:
% 105.84/15.11 | | (8) all_4_24 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (4), (8) imply:
% 105.84/15.11 | | (9) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (9) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #91 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_9_12 = e0
% 105.84/15.11 (2) op(e4, e4) = e1
% 105.84/15.11 (3) all_6_22 = all_4_14
% 105.84/15.11 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.11 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.11 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.11 (5) ~ (all_4_14 = e0)
% 105.84/15.11 (6) all_6_21 = e3
% 105.84/15.11 (7) ~ (e4 = e3)
% 105.84/15.11 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.11 (9) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.11 (10) ((all_9_16 = e0 & op(e4, e0) = e0) | (all_9_17 = e0 & op(e3, e0) = e0) |
% 105.84/15.11 (all_9_18 = e0 & op(e2, e0) = e0) | (all_9_19 = e0 & op(e1, e0) = e0))
% 105.84/15.11 & ((all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) = e0)
% 105.84/15.11 | (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 & op(e0, e1) =
% 105.84/15.11 e0))
% 105.84/15.11 (11) ~ (e3 = e1)
% 105.84/15.11 (12) ~ (e3 = e2)
% 105.84/15.11 (13) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 105.84/15.11 (14) all_6_5 = e2
% 105.84/15.11 (15) all_6_22 = e0 | ~ (op(e0, e2) = e0)
% 105.84/15.11 (16) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 105.84/15.11 (17) ~ (all_4_4 = e0)
% 105.84/15.11 (18) all_9_20 = e4
% 105.84/15.11 (19) ~ (all_4_19 = e0)
% 105.84/15.11 (20) all_9_6 = e3
% 105.84/15.11 (21) ~ (e3 = e0)
% 105.84/15.11 (22) all_4_4 = e0 | ~ (op(e0, e4) = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | ALPHA: (10) implies:
% 105.84/15.11 | (23) (all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) = e0)
% 105.84/15.11 | | (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 & op(e0, e1) =
% 105.84/15.11 | e0)
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (23) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (24) (all_9_20 = e0 & op(e0, e4) = e0) | (all_9_21 = e0 & op(e0, e3) =
% 105.84/15.11 | | e0)
% 105.84/15.11 | |
% 105.84/15.11 | | BETA: splitting (24) gives:
% 105.84/15.11 | |
% 105.84/15.11 | | Case 1:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (25) all_9_20 = e0 & op(e0, e4) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | ALPHA: (25) implies:
% 105.84/15.11 | | | (26) op(e0, e4) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (17), (22), (26) are inconsistent by sub-proof #93.
% 105.84/15.11 | | |
% 105.84/15.11 | | Case 2:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (27) all_9_21 = e0 & op(e0, e3) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (11), (12), (13), (14),
% 105.84/15.11 | | | (18), (20), (21), (27) are inconsistent by sub-proof #149.
% 105.84/15.11 | | |
% 105.84/15.11 | | End of split
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (28) (all_9_22 = e0 & op(e0, e2) = e0) | (all_9_23 = e0 & op(e0, e1) =
% 105.84/15.11 | | e0)
% 105.84/15.11 | |
% 105.84/15.11 | | BETA: splitting (28) gives:
% 105.84/15.11 | |
% 105.84/15.11 | | Case 1:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (29) all_9_22 = e0 & op(e0, e2) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | ALPHA: (29) implies:
% 105.84/15.11 | | | (30) op(e0, e2) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (3), (5), (15), (30) are inconsistent by sub-proof #92.
% 105.84/15.11 | | |
% 105.84/15.11 | | Case 2:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (31) all_9_23 = e0 & op(e0, e1) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | ALPHA: (31) implies:
% 105.84/15.11 | | | (32) op(e0, e1) = e0
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (16), (19), (32) are inconsistent by sub-proof #154.
% 105.84/15.11 | | |
% 105.84/15.11 | | End of split
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #92 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_22 = e0 | ~ (op(e0, e2) = e0)
% 105.84/15.11 (2) op(e0, e2) = e0
% 105.84/15.11 (3) all_6_22 = all_4_14
% 105.84/15.11 (4) ~ (all_4_14 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (5) ~ (op(e0, e2) = e0)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (5) imply:
% 105.84/15.11 | | (6) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (6) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_6_22 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | COMBINE_EQS: (3), (7) imply:
% 105.84/15.11 | | (8) all_4_14 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | SIMP: (8) implies:
% 105.84/15.11 | | (9) all_4_14 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (4), (9) imply:
% 105.84/15.11 | | (10) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (10) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #93 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_4_4 = e0 | ~ (op(e0, e4) = e0)
% 105.84/15.11 (2) op(e0, e4) = e0
% 105.84/15.11 (3) ~ (all_4_4 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (4) ~ (op(e0, e4) = e0)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (4) imply:
% 105.84/15.11 | | (5) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (5) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (6) all_4_4 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (3), (6) imply:
% 105.84/15.11 | | (7) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (7) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #94 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_0 = e1
% 105.84/15.11 (2) all_9_12 = e0
% 105.84/15.11 (3) ~ (op(e4, e3) = e4)
% 105.84/15.11 (4) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 & op(e4, e3) = e4) |
% 105.84/15.11 (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 & op(e4, e1) = e4) |
% 105.84/15.11 (all_9_16 = e4 & op(e4, e0) = e4)
% 105.84/15.11 (5) op(e4, e4) = e1
% 105.84/15.11 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.11 (7) ~ (e4 = e1)
% 105.84/15.11 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.11 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.11 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.11 (9) all_4_10 = e4 | ~ (op(e4, e2) = e4)
% 105.84/15.11 (10) ~ (e4 = e3)
% 105.84/15.11 (11) all_9_16 = e2
% 105.84/15.11 (12) ~ (e4 = e0)
% 105.84/15.11 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.11 (14) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.11 (15) ~ (e3 = e1)
% 105.84/15.11 (16) ~ (e3 = e2)
% 105.84/15.11 (17) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.11 (18) all_6_5 = e2
% 105.84/15.11 (19) all_4_15 = e3
% 105.84/15.11 (20) all_4_15 = e4 | ~ (op(e4, e1) = e4)
% 105.84/15.11 (21) all_9_20 = e4
% 105.84/15.11 (22) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.11 (23) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.11 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.11 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.11 (24) ~ (op(e4, e4) = e4)
% 105.84/15.11 (25) ~ (all_4_10 = e4)
% 105.84/15.11 (26) all_4_1 = e2
% 105.84/15.11 (27) ~ (e3 = e0)
% 105.84/15.11 (28) ~ (e4 = e2)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (4) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (29) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_1 = e4 & op(e4, e3) = e4)
% 105.84/15.11 | |
% 105.84/15.11 | | BETA: splitting (29) gives:
% 105.84/15.11 | |
% 105.84/15.11 | | Case 1:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (30) all_9_0 = e4 & op(e4, e4) = e4
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (24), (30) are inconsistent by sub-proof #207.
% 105.84/15.11 | | |
% 105.84/15.11 | | Case 2:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (31) all_9_1 = e4 & op(e4, e3) = e4
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (3), (31) are inconsistent by sub-proof #179.
% 105.84/15.11 | | |
% 105.84/15.11 | | End of split
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (32) (all_9_4 = e4 & op(e4, e2) = e4) | (all_9_9 = e4 & op(e4, e1) = e4)
% 105.84/15.11 | | | (all_9_16 = e4 & op(e4, e0) = e4)
% 105.84/15.11 | |
% 105.84/15.11 | | BETA: splitting (32) gives:
% 105.84/15.11 | |
% 105.84/15.11 | | Case 1:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (33) all_9_4 = e4 & op(e4, e2) = e4
% 105.84/15.11 | | |
% 105.84/15.11 | | | ALPHA: (33) implies:
% 105.84/15.11 | | | (34) op(e4, e2) = e4
% 105.84/15.11 | | |
% 105.84/15.11 | | | REF_CLOSE: (9), (25), (34) are inconsistent by sub-proof #178.
% 105.84/15.11 | | |
% 105.84/15.11 | | Case 2:
% 105.84/15.11 | | |
% 105.84/15.11 | | | (35) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_16 = e4 & op(e4, e0) =
% 105.84/15.11 | | | e4)
% 105.84/15.11 | | |
% 105.84/15.11 | | | BETA: splitting (35) gives:
% 105.84/15.11 | | |
% 105.84/15.11 | | | Case 1:
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | (36) all_9_9 = e4 & op(e4, e1) = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | ALPHA: (36) implies:
% 105.84/15.11 | | | | (37) op(e4, e1) = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | REF_CLOSE: (10), (19), (20), (37) are inconsistent by sub-proof #177.
% 105.84/15.11 | | | |
% 105.84/15.11 | | | Case 2:
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | (38) all_9_16 = e4 & op(e4, e0) = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | ALPHA: (38) implies:
% 105.84/15.11 | | | | (39) all_9_16 = e4
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | COMBINE_EQS: (11), (39) imply:
% 105.84/15.11 | | | | (40) e4 = e2
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | COMBINE_EQS: (21), (40) imply:
% 105.84/15.11 | | | | (41) all_9_20 = e2
% 105.84/15.11 | | | |
% 105.84/15.11 | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (10), (12), (13), (14), (15),
% 105.84/15.11 | | | | (16), (17), (18), (22), (23), (26), (27), (28), (41) are
% 105.84/15.11 | | | | inconsistent by sub-proof #156.
% 105.84/15.11 | | | |
% 105.84/15.11 | | | End of split
% 105.84/15.11 | | |
% 105.84/15.11 | | End of split
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #95 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_4_8 = e1 | ~ (op(e1, e3) = e1)
% 105.84/15.11 (2) op(e1, e3) = e1
% 105.84/15.11 (3) ~ (all_4_8 = e1)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (4) ~ (op(e1, e3) = e1)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (4) imply:
% 105.84/15.11 | | (5) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (5) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (6) all_4_8 = e1
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (3), (6) imply:
% 105.84/15.11 | | (7) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (7) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #96 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_6_8 = e1 | ~ (op(e3, e1) = e1)
% 105.84/15.11 (2) op(e3, e1) = e1
% 105.84/15.11 (3) all_6_8 = all_4_16
% 105.84/15.11 (4) ~ (all_4_16 = e1)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (5) ~ (op(e3, e1) = e1)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (5) imply:
% 105.84/15.11 | | (6) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (6) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (7) all_6_8 = e1
% 105.84/15.11 | |
% 105.84/15.11 | | COMBINE_EQS: (3), (7) imply:
% 105.84/15.11 | | (8) all_4_16 = e1
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (4), (8) imply:
% 105.84/15.11 | | (9) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (9) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #97 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) all_4_21 = e0 | ~ (op(e3, e0) = e0)
% 105.84/15.11 (2) op(e3, e0) = e0
% 105.84/15.11 (3) ~ (all_4_21 = e0)
% 105.84/15.11
% 105.84/15.11 Begin of proof
% 105.84/15.11 |
% 105.84/15.11 | BETA: splitting (1) gives:
% 105.84/15.11 |
% 105.84/15.11 | Case 1:
% 105.84/15.11 | |
% 105.84/15.11 | | (4) ~ (op(e3, e0) = e0)
% 105.84/15.11 | |
% 105.84/15.11 | | PRED_UNIFY: (2), (4) imply:
% 105.84/15.11 | | (5) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (5) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | Case 2:
% 105.84/15.11 | |
% 105.84/15.11 | | (6) all_4_21 = e0
% 105.84/15.11 | |
% 105.84/15.11 | | REDUCE: (3), (6) imply:
% 105.84/15.11 | | (7) $false
% 105.84/15.11 | |
% 105.84/15.11 | | CLOSE: (7) is inconsistent.
% 105.84/15.11 | |
% 105.84/15.11 | End of split
% 105.84/15.11 |
% 105.84/15.11 End of proof
% 105.84/15.11
% 105.84/15.11 Sub-proof #98 shows that the following formulas are inconsistent:
% 105.84/15.11 ----------------------------------------------------------------
% 105.84/15.11 (1) ~ (op(e4, e1) = e4)
% 105.84/15.11 (2) ~ (op(e2, e4) = e4)
% 105.84/15.11 (3) all_6_8 = all_4_16
% 105.84/15.11 (4) all_6_0 = e1
% 105.84/15.11 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.11 (6) all_9_12 = e0
% 105.84/15.11 (7) ~ (e1 = e0)
% 105.84/15.11 (8) all_9_5 = e4
% 105.84/15.11 (9) op(e4, e4) = e1
% 105.84/15.11 (10) all_9_23 = e1
% 105.84/15.11 (11) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.11 (12) op(e2, e3) = all_4_7
% 105.84/15.11 (13) ~ (e4 = e1)
% 105.84/15.11 (14) all_9_15 = e2
% 105.84/15.11 (15) ~ (op(e1, e2) = e1)
% 105.84/15.11 (16) ~ (op(e3, e0) = e0)
% 105.84/15.11 (17) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.11 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.11 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.11 (18) op(e3, e3) = all_4_6
% 105.84/15.11 (19) all_9_9 = e3
% 105.84/15.11 (20) op(e3, e4) = e2
% 105.84/15.11 (21) ~ (e4 = e3)
% 105.84/15.11 (22) all_9_11 = e0 & op(e2, e1) = e0
% 105.84/15.11 (23) ~ (e4 = e0)
% 105.84/15.11 (24) ~ (all_4_6 = e2)
% 105.84/15.11 (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.11 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.11 (26) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.11 (27) ~ (e2 = e0)
% 105.84/15.11 (28) all_9_18 = e2
% 105.84/15.11 (29) ~ (e3 = e1)
% 105.84/15.11 (30) ~ (all_4_6 = all_4_16)
% 105.84/15.11 (31) ~ (all_4_6 = e4)
% 105.84/15.11 (32) ~ (e3 = e2)
% 105.84/15.12 (33) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.12 (34) ~ (e2 = e1)
% 105.84/15.12 (35) all_6_5 = e2
% 105.84/15.12 (36) ~ (all_4_6 = e3)
% 105.84/15.12 (37) ~ (all_4_7 = e4)
% 105.84/15.12 (38) ~ (op(e0, e1) = e0)
% 105.84/15.12 (39) all_6_6 = all_4_6
% 105.84/15.12 (40) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.12 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.12 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.12 (41) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 105.84/15.12 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 105.84/15.12 (all_9_18 = e4 & op(e2, e0) = e4)
% 105.84/15.12 (42) all_9_22 = e2
% 105.84/15.12 (43) ~ (all_4_16 = e2)
% 105.84/15.12 (44) all_9_20 = e4
% 105.84/15.12 (45) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.12 (46) ~ (all_4_2 = e2)
% 105.84/15.12 (47) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.12 (48) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 105.84/15.12 (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.84/15.12 (all_9_23 = e4 & op(e0, e1) = e4)
% 105.84/15.12 (49) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.12 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 105.84/15.12 (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.12 (50) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.12 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.12 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.12 (51) ~ (all_4_16 = e3)
% 105.84/15.12 (52) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.12 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.12 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.12 (53) all_9_4 = e0
% 105.84/15.12 (54) ~ (all_4_16 = e1)
% 105.84/15.12 (55) all_9_6 = e3
% 105.84/15.12 (56) all_4_1 = e2
% 105.84/15.12 (57) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 105.84/15.12 (58) all_9_2 = e2
% 105.84/15.12 (59) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 105.84/15.12 (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.12 (all_9_17 = e0 & op(e3, e0) = e0)
% 105.84/15.12 (60) ~ (e3 = e0)
% 105.84/15.12 (61) ~ (e4 = e2)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | ALPHA: (22) implies:
% 105.84/15.12 | (62) all_9_11 = e0
% 105.84/15.12 |
% 105.84/15.12 | BETA: splitting (48) gives:
% 105.84/15.12 |
% 105.84/15.12 | Case 1:
% 105.84/15.12 | |
% 105.84/15.12 | | (63) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 105.84/15.12 | |
% 105.84/15.12 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (11), (12), (13), (14),
% 105.84/15.12 | | (15), (16), (17), (18), (19), (20), (21), (23), (24), (25), (26),
% 105.84/15.12 | | (27), (28), (29), (30), (31), (32), (33), (34), (35), (36), (37),
% 105.84/15.12 | | (38), (39), (40), (41), (42), (43), (44), (45), (46), (47), (49),
% 105.84/15.12 | | (50), (51), (52), (53), (54), (55), (56), (57), (58), (59), (60),
% 105.84/15.12 | | (61), (63) are inconsistent by sub-proof #107.
% 105.84/15.12 | |
% 105.84/15.12 | Case 2:
% 105.84/15.12 | |
% 105.84/15.12 | | (64) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 105.84/15.12 | | e4) | (all_9_23 = e4 & op(e0, e1) = e4)
% 105.84/15.12 | |
% 105.84/15.12 | | BETA: splitting (64) gives:
% 105.84/15.12 | |
% 105.84/15.12 | | Case 1:
% 105.84/15.12 | | |
% 105.84/15.12 | | | (65) all_9_11 = e4 & op(e2, e1) = e4
% 105.84/15.12 | | |
% 105.84/15.12 | | | ALPHA: (65) implies:
% 105.84/15.12 | | | (66) all_9_11 = e4
% 105.84/15.12 | | |
% 105.84/15.12 | | | COMBINE_EQS: (62), (66) imply:
% 105.84/15.12 | | | (67) e4 = e0
% 105.84/15.12 | | |
% 105.84/15.12 | | | SIMP: (67) implies:
% 105.84/15.12 | | | (68) e4 = e0
% 105.84/15.12 | | |
% 105.84/15.12 | | | COMBINE_EQS: (8), (68) imply:
% 105.84/15.12 | | | (69) all_9_5 = e0
% 105.84/15.12 | | |
% 105.84/15.12 | | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (11), (12), (13), (15), (17),
% 105.84/15.12 | | | (21), (23), (25), (27), (28), (29), (32), (33), (34), (37),
% 105.84/15.12 | | | (40), (41), (42), (45), (46), (50), (52), (53), (56), (58),
% 105.84/15.12 | | | (60), (61), (62), (69) are inconsistent by sub-proof #121.
% 105.84/15.12 | | |
% 105.84/15.12 | | Case 2:
% 105.84/15.12 | | |
% 105.84/15.12 | | | (70) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 105.84/15.12 | | | e4)
% 105.84/15.12 | | |
% 105.84/15.12 | | | BETA: splitting (70) gives:
% 105.84/15.12 | | |
% 105.84/15.12 | | | Case 1:
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | (71) all_9_15 = e4 & op(e1, e1) = e4
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | ALPHA: (71) implies:
% 105.84/15.12 | | | | (72) all_9_15 = e4
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | REF_CLOSE: (14), (61), (72) are inconsistent by sub-proof #99.
% 105.84/15.12 | | | |
% 105.84/15.12 | | | Case 2:
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | (73) all_9_23 = e4 & op(e0, e1) = e4
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | ALPHA: (73) implies:
% 105.84/15.12 | | | | (74) all_9_23 = e4
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | COMBINE_EQS: (10), (74) imply:
% 105.84/15.12 | | | | (75) e4 = e1
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | REDUCE: (13), (75) imply:
% 105.84/15.12 | | | | (76) $false
% 105.84/15.12 | | | |
% 105.84/15.12 | | | | CLOSE: (76) is inconsistent.
% 105.84/15.12 | | | |
% 105.84/15.12 | | | End of split
% 105.84/15.12 | | |
% 105.84/15.12 | | End of split
% 105.84/15.12 | |
% 105.84/15.12 | End of split
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #99 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) all_9_15 = e4
% 105.84/15.12 (2) all_9_15 = e2
% 105.84/15.12 (3) ~ (e4 = e2)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.12 | (4) e4 = e2
% 105.84/15.12 |
% 105.84/15.12 | SIMP: (4) implies:
% 105.84/15.12 | (5) e4 = e2
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (3), (5) imply:
% 105.84/15.12 | (6) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (6) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #100 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) op(e0, e1) = all_8_62
% 105.84/15.12 (2) op(e0, e1) = e1
% 105.84/15.12 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (4) op(e1, e0) = all_8_55
% 105.84/15.12 (5) op(e1, e0) = e1
% 105.84/15.12 (6) ~ (all_8_55 = all_8_62)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (3) with e1, all_8_62, e1, e0, simplifying with
% 105.84/15.12 | (1), (2) gives:
% 105.84/15.12 | (7) all_8_62 = e1
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (3) with e1, all_8_55, e0, e1, simplifying with
% 105.84/15.12 | (4), (5) gives:
% 105.84/15.12 | (8) all_8_55 = e1
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (6), (7), (8) imply:
% 105.84/15.12 | (9) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (9) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #101 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) ~ (all_8_51 = all_8_60)
% 105.84/15.12 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (3) op(e2, e0) = all_8_51
% 105.84/15.12 (4) op(e0, e2) = all_8_60
% 105.84/15.12 (5) op(e0, e2) = e2
% 105.84/15.12 (6) op(e2, e0) = e2
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (2) with e2, all_8_60, e2, e0, simplifying with
% 105.84/15.12 | (4), (5) gives:
% 105.84/15.12 | (7) all_8_60 = e2
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (2) with e2, all_8_51, e0, e2, simplifying with
% 105.84/15.12 | (3), (6) gives:
% 105.84/15.12 | (8) all_8_51 = e2
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (1), (7), (8) imply:
% 105.84/15.12 | (9) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (9) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #102 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) ~ (all_8_47 = all_8_58)
% 105.84/15.12 (2) op(e0, e3) = e3
% 105.84/15.12 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (4) op(e3, e0) = e3
% 105.84/15.12 (5) op(e0, e3) = all_8_58
% 105.84/15.12 (6) op(e3, e0) = all_8_47
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (3) with e3, all_8_58, e3, e0, simplifying with
% 105.84/15.12 | (2), (5) gives:
% 105.84/15.12 | (7) all_8_58 = e3
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (3) with e3, all_8_47, e0, e3, simplifying with
% 105.84/15.12 | (4), (6) gives:
% 105.84/15.12 | (8) all_8_47 = e3
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (1), (7), (8) imply:
% 105.84/15.12 | (9) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (9) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #103 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) ~ (all_8_43 = all_8_56)
% 105.84/15.12 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (3) op(e4, e0) = all_8_43
% 105.84/15.12 (4) op(e4, e0) = e4
% 105.84/15.12 (5) op(e0, e4) = e4
% 105.84/15.12 (6) op(e0, e4) = all_8_56
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (2) with e4, all_8_56, e4, e0, simplifying with
% 105.84/15.12 | (5), (6) gives:
% 105.84/15.12 | (7) all_8_56 = e4
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (2) with e4, all_8_43, e0, e4, simplifying with
% 105.84/15.12 | (3), (4) gives:
% 105.84/15.12 | (8) all_8_43 = e4
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (1), (7), (8) imply:
% 105.84/15.12 | (9) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (9) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #104 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) all_6_11 = all_4_7
% 105.84/15.12 (2) all_6_11 = e1
% 105.84/15.12 (3) ~ (all_4_7 = e1)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.12 | (4) all_4_7 = e1
% 105.84/15.12 |
% 105.84/15.12 | SIMP: (4) implies:
% 105.84/15.12 | (5) all_4_7 = e1
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (3), (5) imply:
% 105.84/15.12 | (6) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (6) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #105 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) all_6_11 = all_4_7
% 105.84/15.12 (2) all_6_11 = e3
% 105.84/15.12 (3) ~ (all_4_7 = e3)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.12 | (4) all_4_7 = e3
% 105.84/15.12 |
% 105.84/15.12 | SIMP: (4) implies:
% 105.84/15.12 | (5) all_4_7 = e3
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (3), (5) imply:
% 105.84/15.12 | (6) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (6) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #106 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) op(e4, e3) = e2
% 105.84/15.12 (2) op(e4, e3) = all_8_40
% 105.84/15.12 (3) ~ (all_8_40 = all_8_44)
% 105.84/15.12 (4) op(e3, e4) = e2
% 105.84/15.12 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (6) op(e3, e4) = all_8_44
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (5) with e2, all_8_44, e4, e3, simplifying with
% 105.84/15.12 | (4), (6) gives:
% 105.84/15.12 | (7) all_8_44 = e2
% 105.84/15.12 |
% 105.84/15.12 | GROUND_INST: instantiating (5) with e2, all_8_40, e3, e4, simplifying with
% 105.84/15.12 | (1), (2) gives:
% 105.84/15.12 | (8) all_8_40 = e2
% 105.84/15.12 |
% 105.84/15.12 | REDUCE: (3), (7), (8) imply:
% 105.84/15.12 | (9) $false
% 105.84/15.12 |
% 105.84/15.12 | CLOSE: (9) is inconsistent.
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #107 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) ~ (op(e4, e1) = e4)
% 105.84/15.12 (2) ~ (op(e2, e4) = e4)
% 105.84/15.12 (3) all_6_8 = all_4_16
% 105.84/15.12 (4) all_6_0 = e1
% 105.84/15.12 (5) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.12 (6) all_9_12 = e0
% 105.84/15.12 (7) ~ (e1 = e0)
% 105.84/15.12 (8) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 105.84/15.12 (9) op(e4, e4) = e1
% 105.84/15.12 (10) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.12 (11) op(e2, e3) = all_4_7
% 105.84/15.12 (12) ~ (e4 = e1)
% 105.84/15.12 (13) all_9_15 = e2
% 105.84/15.12 (14) ~ (op(e1, e2) = e1)
% 105.84/15.12 (15) ~ (op(e3, e0) = e0)
% 105.84/15.12 (16) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.12 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.12 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.12 (17) op(e3, e3) = all_4_6
% 105.84/15.12 (18) all_9_9 = e3
% 105.84/15.12 (19) op(e3, e4) = e2
% 105.84/15.12 (20) ~ (e4 = e3)
% 105.84/15.12 (21) ~ (e4 = e0)
% 105.84/15.12 (22) ~ (all_4_6 = e2)
% 105.84/15.12 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (24) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.12 (25) ~ (e2 = e0)
% 105.84/15.12 (26) all_9_18 = e2
% 105.84/15.12 (27) ~ (e3 = e1)
% 105.84/15.12 (28) ~ (all_4_6 = all_4_16)
% 105.84/15.12 (29) ~ (all_4_6 = e4)
% 105.84/15.12 (30) ~ (e3 = e2)
% 105.84/15.12 (31) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.12 (32) ~ (e2 = e1)
% 105.84/15.12 (33) all_6_5 = e2
% 105.84/15.12 (34) ~ (all_4_6 = e3)
% 105.84/15.12 (35) ~ (all_4_7 = e4)
% 105.84/15.12 (36) ~ (op(e0, e1) = e0)
% 105.84/15.12 (37) all_6_6 = all_4_6
% 105.84/15.12 (38) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.12 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.12 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.12 (39) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 105.84/15.12 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 105.84/15.12 (all_9_18 = e4 & op(e2, e0) = e4)
% 105.84/15.12 (40) all_9_22 = e2
% 105.84/15.12 (41) ~ (all_4_16 = e2)
% 105.84/15.12 (42) all_9_20 = e4
% 105.84/15.12 (43) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.12 (44) ~ (all_4_2 = e2)
% 105.84/15.12 (45) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.12 (46) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.12 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 105.84/15.12 (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.12 (47) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.12 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.12 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.12 (48) ~ (all_4_16 = e3)
% 105.84/15.12 (49) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.12 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.12 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.12 (50) all_9_4 = e0
% 105.84/15.12 (51) ~ (all_4_16 = e1)
% 105.84/15.12 (52) all_9_6 = e3
% 105.84/15.12 (53) all_4_1 = e2
% 105.84/15.12 (54) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 105.84/15.12 (55) all_9_2 = e2
% 105.84/15.12 (56) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 105.84/15.12 (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.12 (all_9_17 = e0 & op(e3, e0) = e0)
% 105.84/15.12 (57) ~ (e3 = e0)
% 105.84/15.12 (58) ~ (e4 = e2)
% 105.84/15.12
% 105.84/15.12 Begin of proof
% 105.84/15.12 |
% 105.84/15.12 | BETA: splitting (8) gives:
% 105.84/15.12 |
% 105.84/15.12 | Case 1:
% 105.84/15.12 | |
% 105.84/15.12 | | (59) all_9_9 = e4 & op(e4, e1) = e4
% 105.84/15.12 | |
% 105.84/15.12 | | REF_CLOSE: (1), (59) are inconsistent by sub-proof #112.
% 105.84/15.12 | |
% 105.84/15.12 | Case 2:
% 105.84/15.12 | |
% 105.84/15.12 | | (60) all_9_10 = e4 & op(e3, e1) = e4
% 105.84/15.12 | |
% 105.84/15.12 | | ALPHA: (60) implies:
% 105.84/15.12 | | (61) all_9_10 = e4
% 105.84/15.12 | |
% 105.84/15.12 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (11), (12), (13), (14),
% 105.84/15.12 | | (15), (16), (17), (18), (19), (20), (21), (22), (23), (24), (25),
% 105.84/15.12 | | (26), (27), (28), (29), (30), (31), (32), (33), (34), (35), (36),
% 105.84/15.12 | | (37), (38), (39), (40), (41), (42), (43), (44), (45), (46), (47),
% 105.84/15.12 | | (48), (49), (50), (51), (52), (53), (54), (55), (56), (57), (58),
% 105.84/15.12 | | (61) are inconsistent by sub-proof #108.
% 105.84/15.12 | |
% 105.84/15.12 | End of split
% 105.84/15.12 |
% 105.84/15.12 End of proof
% 105.84/15.12
% 105.84/15.12 Sub-proof #108 shows that the following formulas are inconsistent:
% 105.84/15.12 ----------------------------------------------------------------
% 105.84/15.12 (1) ~ (op(e2, e4) = e4)
% 105.84/15.12 (2) all_6_8 = all_4_16
% 105.84/15.12 (3) all_6_0 = e1
% 105.84/15.12 (4) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.12 (5) all_9_12 = e0
% 105.84/15.12 (6) ~ (e1 = e0)
% 105.84/15.12 (7) op(e4, e4) = e1
% 105.84/15.12 (8) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.12 (9) op(e2, e3) = all_4_7
% 105.84/15.12 (10) ~ (e4 = e1)
% 105.84/15.12 (11) all_9_15 = e2
% 105.84/15.12 (12) ~ (op(e1, e2) = e1)
% 105.84/15.12 (13) ~ (op(e3, e0) = e0)
% 105.84/15.12 (14) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.12 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.12 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.12 (15) op(e3, e3) = all_4_6
% 105.84/15.12 (16) all_9_9 = e3
% 105.84/15.12 (17) op(e3, e4) = e2
% 105.84/15.12 (18) ~ (e4 = e3)
% 105.84/15.12 (19) ~ (e4 = e0)
% 105.84/15.12 (20) ~ (all_4_6 = e2)
% 105.84/15.12 (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.12 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.12 (22) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.12 (23) ~ (e2 = e0)
% 105.84/15.12 (24) all_9_18 = e2
% 105.84/15.12 (25) ~ (e3 = e1)
% 105.84/15.12 (26) all_9_10 = e4
% 105.84/15.12 (27) ~ (all_4_6 = all_4_16)
% 105.84/15.12 (28) ~ (all_4_6 = e4)
% 105.84/15.12 (29) ~ (e3 = e2)
% 105.84/15.12 (30) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.12 (31) ~ (e2 = e1)
% 105.84/15.12 (32) all_6_5 = e2
% 105.84/15.12 (33) ~ (all_4_6 = e3)
% 105.84/15.12 (34) ~ (all_4_7 = e4)
% 105.84/15.12 (35) ~ (op(e0, e1) = e0)
% 105.84/15.12 (36) all_6_6 = all_4_6
% 105.84/15.12 (37) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.12 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.12 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.12 (38) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 105.84/15.12 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 105.84/15.12 (all_9_18 = e4 & op(e2, e0) = e4)
% 105.84/15.12 (39) all_9_22 = e2
% 105.84/15.12 (40) ~ (all_4_16 = e2)
% 105.84/15.12 (41) all_9_20 = e4
% 105.84/15.12 (42) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.12 (43) ~ (all_4_2 = e2)
% 105.84/15.12 (44) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.12 (45) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.12 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 105.84/15.12 (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.13 (46) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.13 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.13 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.13 (47) ~ (all_4_16 = e3)
% 105.84/15.13 (48) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.13 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.13 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.13 (49) all_9_4 = e0
% 105.84/15.13 (50) ~ (all_4_16 = e1)
% 105.84/15.13 (51) all_9_6 = e3
% 105.84/15.13 (52) all_4_1 = e2
% 105.84/15.13 (53) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 105.84/15.13 (54) all_9_2 = e2
% 105.84/15.13 (55) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 105.84/15.13 (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.13 (all_9_17 = e0 & op(e3, e0) = e0)
% 105.84/15.13 (56) ~ (e3 = e0)
% 105.84/15.13 (57) ~ (e4 = e2)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | BETA: splitting (55) gives:
% 105.84/15.13 |
% 105.84/15.13 | Case 1:
% 105.84/15.13 | |
% 105.84/15.13 | | (58) (all_9_2 = e0 & op(e3, e4) = e0) | (all_9_3 = e0 & op(e3, e3) = e0)
% 105.84/15.13 | |
% 105.84/15.13 | | BETA: splitting (58) gives:
% 105.84/15.13 | |
% 105.84/15.13 | | Case 1:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (59) all_9_2 = e0 & op(e3, e4) = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | ALPHA: (59) implies:
% 105.84/15.13 | | | (60) op(e3, e4) = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | REF_CLOSE: (17), (21), (23), (60) are inconsistent by sub-proof #223.
% 105.84/15.13 | | |
% 105.84/15.13 | | Case 2:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (61) all_9_3 = e0 & op(e3, e3) = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | ALPHA: (61) implies:
% 105.84/15.13 | | | (62) op(e3, e3) = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | BETA: splitting (53) gives:
% 105.84/15.13 | | |
% 105.84/15.13 | | | Case 1:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (63) all_6_8 = e3
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | COMBINE_EQS: (2), (63) imply:
% 105.84/15.13 | | | | (64) all_4_16 = e3
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | REDUCE: (47), (64) imply:
% 105.84/15.13 | | | | (65) $false
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | CLOSE: (65) is inconsistent.
% 105.84/15.13 | | | |
% 105.84/15.13 | | | Case 2:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (66) all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | BETA: splitting (66) gives:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | Case 1:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (67) all_6_8 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | COMBINE_EQS: (2), (67) imply:
% 105.84/15.13 | | | | | (68) all_4_16 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | REDUCE: (50), (68) imply:
% 105.84/15.13 | | | | | (69) $false
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | CLOSE: (69) is inconsistent.
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | Case 2:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (70) all_6_8 = e2 | all_6_8 = e0
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | BETA: splitting (70) gives:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | Case 1:
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | (71) all_6_8 = e2
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | COMBINE_EQS: (2), (71) imply:
% 105.84/15.13 | | | | | | (72) all_4_16 = e2
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | REDUCE: (40), (72) imply:
% 105.84/15.13 | | | | | | (73) $false
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | CLOSE: (73) is inconsistent.
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | Case 2:
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | (74) all_6_8 = e0
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | COMBINE_EQS: (2), (74) imply:
% 105.84/15.13 | | | | | | (75) all_4_16 = e0
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | REDUCE: (27), (75) imply:
% 105.84/15.13 | | | | | | (76) ~ (all_4_6 = e0)
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | BETA: splitting (44) gives:
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | Case 1:
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | | (77) all_6_6 = e4
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | | REF_CLOSE: (28), (36), (77) are inconsistent by sub-proof #139.
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | Case 2:
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | | (78) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | | BETA: splitting (78) gives:
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | | Case 1:
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | | (79) all_6_6 = e3
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | | REF_CLOSE: (33), (36), (79) are inconsistent by sub-proof #138.
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | Case 2:
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | | (80) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | | REF_CLOSE: (15), (20), (21), (36), (62), (76), (80) are
% 105.84/15.13 | | | | | | | | inconsistent by sub-proof #110.
% 105.84/15.13 | | | | | | | |
% 105.84/15.13 | | | | | | | End of split
% 105.84/15.13 | | | | | | |
% 105.84/15.13 | | | | | | End of split
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | End of split
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | End of split
% 105.84/15.13 | | | |
% 105.84/15.13 | | | End of split
% 105.84/15.13 | | |
% 105.84/15.13 | | End of split
% 105.84/15.13 | |
% 105.84/15.13 | Case 2:
% 105.84/15.13 | |
% 105.84/15.13 | | (81) (all_9_5 = e0 & op(e3, e2) = e0) | (all_9_10 = e0 & op(e3, e1) = e0)
% 105.84/15.13 | | | (all_9_17 = e0 & op(e3, e0) = e0)
% 105.84/15.13 | |
% 105.84/15.13 | | BETA: splitting (81) gives:
% 105.84/15.13 | |
% 105.84/15.13 | | Case 1:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (82) all_9_5 = e0 & op(e3, e2) = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | ALPHA: (82) implies:
% 105.84/15.13 | | | (83) all_9_5 = e0
% 105.84/15.13 | | |
% 105.84/15.13 | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (14),
% 105.84/15.13 | | | (16), (18), (19), (21), (22), (23), (24), (25), (26), (29),
% 105.84/15.13 | | | (30), (31), (32), (34), (35), (37), (38), (39), (41), (42),
% 105.84/15.13 | | | (43), (45), (46), (48), (49), (51), (52), (54), (56), (57),
% 105.84/15.13 | | | (83) are inconsistent by sub-proof #119.
% 105.84/15.13 | | |
% 105.84/15.13 | | Case 2:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (84) (all_9_10 = e0 & op(e3, e1) = e0) | (all_9_17 = e0 & op(e3, e0) =
% 105.84/15.13 | | | e0)
% 105.84/15.13 | | |
% 105.84/15.13 | | | BETA: splitting (84) gives:
% 105.84/15.13 | | |
% 105.84/15.13 | | | Case 1:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (85) all_9_10 = e0 & op(e3, e1) = e0
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | ALPHA: (85) implies:
% 105.84/15.13 | | | | (86) all_9_10 = e0
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | REF_CLOSE: (19), (26), (86) are inconsistent by sub-proof #109.
% 105.84/15.13 | | | |
% 105.84/15.13 | | | Case 2:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (87) all_9_17 = e0 & op(e3, e0) = e0
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | REF_CLOSE: (13), (87) are inconsistent by sub-proof #115.
% 105.84/15.13 | | | |
% 105.84/15.13 | | | End of split
% 105.84/15.13 | | |
% 105.84/15.13 | | End of split
% 105.84/15.13 | |
% 105.84/15.13 | End of split
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #109 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_9_10 = e4
% 105.84/15.13 (2) all_9_10 = e0
% 105.84/15.13 (3) ~ (e4 = e0)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | COMBINE_EQS: (1), (2) imply:
% 105.84/15.13 | (4) e4 = e0
% 105.84/15.13 |
% 105.84/15.13 | SIMP: (4) implies:
% 105.84/15.13 | (5) e4 = e0
% 105.84/15.13 |
% 105.84/15.13 | REDUCE: (3), (5) imply:
% 105.84/15.13 | (6) $false
% 105.84/15.13 |
% 105.84/15.13 | CLOSE: (6) is inconsistent.
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #110 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) op(e3, e3) = all_4_6
% 105.84/15.13 (2) ~ (all_4_6 = e2)
% 105.84/15.13 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.13 (4) ~ (all_4_6 = e0)
% 105.84/15.13 (5) op(e3, e3) = e0
% 105.84/15.13 (6) all_6_6 = all_4_6
% 105.84/15.13 (7) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | BETA: splitting (7) gives:
% 105.84/15.13 |
% 105.84/15.13 | Case 1:
% 105.84/15.13 | |
% 105.84/15.13 | | (8) all_6_6 = e1
% 105.84/15.13 | |
% 105.84/15.13 | | COMBINE_EQS: (6), (8) imply:
% 105.84/15.13 | | (9) all_4_6 = e1
% 105.84/15.13 | |
% 105.84/15.13 | | REDUCE: (4), (9) imply:
% 105.84/15.13 | | (10) ~ (e1 = e0)
% 105.84/15.13 | |
% 105.84/15.13 | | REDUCE: (1), (9) imply:
% 105.84/15.13 | | (11) op(e3, e3) = e1
% 105.84/15.13 | |
% 105.84/15.13 | | REF_CLOSE: (3), (5), (10), (11) are inconsistent by sub-proof #153.
% 105.84/15.13 | |
% 105.84/15.13 | Case 2:
% 105.84/15.13 | |
% 105.84/15.13 | | (12) all_6_6 = e2 | all_6_6 = e0
% 105.84/15.13 | |
% 105.84/15.13 | | REF_CLOSE: (2), (4), (6), (12) are inconsistent by sub-proof #111.
% 105.84/15.13 | |
% 105.84/15.13 | End of split
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #111 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_6_6 = e2 | all_6_6 = e0
% 105.84/15.13 (2) all_6_6 = all_4_6
% 105.84/15.13 (3) ~ (all_4_6 = e2)
% 105.84/15.13 (4) ~ (all_4_6 = e0)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | BETA: splitting (1) gives:
% 105.84/15.13 |
% 105.84/15.13 | Case 1:
% 105.84/15.13 | |
% 105.84/15.13 | | (5) all_6_6 = e2
% 105.84/15.13 | |
% 105.84/15.13 | | COMBINE_EQS: (2), (5) imply:
% 105.84/15.13 | | (6) all_4_6 = e2
% 105.84/15.13 | |
% 105.84/15.13 | | REDUCE: (3), (6) imply:
% 105.84/15.13 | | (7) $false
% 105.84/15.13 | |
% 105.84/15.13 | | CLOSE: (7) is inconsistent.
% 105.84/15.13 | |
% 105.84/15.13 | Case 2:
% 105.84/15.13 | |
% 105.84/15.13 | | (8) all_6_6 = e0
% 105.84/15.13 | |
% 105.84/15.13 | | COMBINE_EQS: (2), (8) imply:
% 105.84/15.13 | | (9) all_4_6 = e0
% 105.84/15.13 | |
% 105.84/15.13 | | REDUCE: (4), (9) imply:
% 105.84/15.13 | | (10) $false
% 105.84/15.13 | |
% 105.84/15.13 | | CLOSE: (10) is inconsistent.
% 105.84/15.13 | |
% 105.84/15.13 | End of split
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #112 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_9_9 = e4 & op(e4, e1) = e4
% 105.84/15.13 (2) ~ (op(e4, e1) = e4)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | ALPHA: (1) implies:
% 105.84/15.13 | (3) op(e4, e1) = e4
% 105.84/15.13 |
% 105.84/15.13 | PRED_UNIFY: (2), (3) imply:
% 105.84/15.13 | (4) $false
% 105.84/15.13 |
% 105.84/15.13 | CLOSE: (4) is inconsistent.
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #113 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) (all_9_9 = e1 & op(e4, e1) = e1) | (all_9_10 = e1 & op(e3, e1) = e1) |
% 105.84/15.13 (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_15 = e1 & op(e1, e1) = e1) |
% 105.84/15.13 (all_9_23 = e1 & op(e0, e1) = e1)
% 105.84/15.13 (2) all_6_0 = e1
% 105.84/15.13 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.13 (4) all_9_12 = e0
% 105.84/15.13 (5) ~ (e1 = e0)
% 105.84/15.13 (6) e1 = e0
% 105.84/15.13 (7) op(e4, e4) = e1
% 105.84/15.13 (8) all_9_23 = e1
% 105.84/15.13 (9) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.13 (10) ~ (e4 = e1)
% 105.84/15.13 (11) all_9_15 = e2
% 105.84/15.13 (12) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.13 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.13 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.13 (13) ~ (e4 = e3)
% 105.84/15.13 (14) e3 = e1 | ~ (op(e4, e1) = e1)
% 105.84/15.13 (15) ~ (e4 = e0)
% 105.84/15.13 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.13 (17) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.13 (18) ~ (e2 = e0)
% 105.84/15.13 (19) ~ (e3 = e1)
% 105.84/15.13 (20) ~ (e3 = e2)
% 105.84/15.13 (21) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.13 (22) ~ (e2 = e1)
% 105.84/15.13 (23) all_6_5 = e2
% 105.84/15.13 (24) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.13 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.13 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.13 (25) all_4_15 = e3
% 105.84/15.13 (26) all_4_15 = e4 | ~ (op(e4, e1) = e4)
% 105.84/15.13 (27) all_9_20 = e4
% 105.84/15.13 (28) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.13 (29) ~ (all_4_2 = e2)
% 105.84/15.13 (30) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 105.84/15.13 (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) = e4) |
% 105.84/15.13 (all_9_23 = e4 & op(e0, e1) = e4)
% 105.84/15.13 (31) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.13 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.13 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.13 (32) all_9_10 = e0
% 105.84/15.13 (33) e3 = e2 | ~ (op(e3, e4) = e3)
% 105.84/15.13 (34) all_4_1 = e2
% 105.84/15.13 (35) all_9_2 = e2
% 105.84/15.13 (36) ~ (e3 = e0)
% 105.84/15.13 (37) ~ (e4 = e2)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | COMBINE_EQS: (6), (8) imply:
% 105.84/15.13 | (38) all_9_23 = e0
% 105.84/15.13 |
% 105.84/15.13 | BETA: splitting (30) gives:
% 105.84/15.13 |
% 105.84/15.13 | Case 1:
% 105.84/15.13 | |
% 105.84/15.13 | | (39) (all_9_9 = e4 & op(e4, e1) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 105.84/15.13 | |
% 105.84/15.13 | | BETA: splitting (39) gives:
% 105.84/15.13 | |
% 105.84/15.13 | | Case 1:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (40) all_9_9 = e4 & op(e4, e1) = e4
% 105.84/15.13 | | |
% 105.84/15.13 | | | ALPHA: (40) implies:
% 105.84/15.13 | | | (41) op(e4, e1) = e4
% 105.84/15.13 | | |
% 105.84/15.13 | | | REF_CLOSE: (13), (25), (26), (41) are inconsistent by sub-proof #177.
% 105.84/15.13 | | |
% 105.84/15.13 | | Case 2:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (42) all_9_10 = e4 & op(e3, e1) = e4
% 105.84/15.13 | | |
% 105.84/15.13 | | | REF_CLOSE: (15), (32), (42) are inconsistent by sub-proof #162.
% 105.84/15.13 | | |
% 105.84/15.13 | | End of split
% 105.84/15.13 | |
% 105.84/15.13 | Case 2:
% 105.84/15.13 | |
% 105.84/15.13 | | (43) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_15 = e4 & op(e1, e1) =
% 105.84/15.13 | | e4) | (all_9_23 = e4 & op(e0, e1) = e4)
% 105.84/15.13 | |
% 105.84/15.13 | | BETA: splitting (43) gives:
% 105.84/15.13 | |
% 105.84/15.13 | | Case 1:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (44) all_9_11 = e4 & op(e2, e1) = e4
% 105.84/15.13 | | |
% 105.84/15.13 | | | ALPHA: (44) implies:
% 105.84/15.13 | | | (45) all_9_11 = e4
% 105.84/15.13 | | |
% 105.84/15.13 | | | BETA: splitting (1) gives:
% 105.84/15.13 | | |
% 105.84/15.13 | | | Case 1:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (46) (all_9_9 = e1 & op(e4, e1) = e1) | (all_9_10 = e1 & op(e3, e1) =
% 105.84/15.13 | | | | e1)
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | BETA: splitting (46) gives:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | Case 1:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (47) all_9_9 = e1 & op(e4, e1) = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | ALPHA: (47) implies:
% 105.84/15.13 | | | | | (48) op(e4, e1) = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | REF_CLOSE: (14), (19), (48) are inconsistent by sub-proof #114.
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | Case 2:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (49) all_9_10 = e1 & op(e3, e1) = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | ALPHA: (49) implies:
% 105.84/15.13 | | | | | (50) all_9_10 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | COMBINE_EQS: (32), (50) imply:
% 105.84/15.13 | | | | | (51) e1 = e0
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | REDUCE: (5), (6) imply:
% 105.84/15.13 | | | | | (52) $false
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | CLOSE: (52) is inconsistent.
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | End of split
% 105.84/15.13 | | | |
% 105.84/15.13 | | | Case 2:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (53) (all_9_11 = e1 & op(e2, e1) = e1) | (all_9_15 = e1 & op(e1, e1)
% 105.84/15.13 | | | | = e1) | (all_9_23 = e1 & op(e0, e1) = e1)
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | BETA: splitting (53) gives:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | Case 1:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (54) all_9_11 = e1 & op(e2, e1) = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | ALPHA: (54) implies:
% 105.84/15.13 | | | | | (55) all_9_11 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | COMBINE_EQS: (45), (55) imply:
% 105.84/15.13 | | | | | (56) e4 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | COMBINE_EQS: (27), (56) imply:
% 105.84/15.13 | | | | | (57) all_9_20 = e1
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (12), (13), (15), (16),
% 105.84/15.13 | | | | | (18), (19), (20), (21), (22), (24), (28), (29), (31), (33),
% 105.84/15.13 | | | | | (34), (36), (37), (57) are inconsistent by sub-proof #188.
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | Case 2:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | (58) (all_9_15 = e1 & op(e1, e1) = e1) | (all_9_23 = e1 & op(e0,
% 105.84/15.13 | | | | | e1) = e1)
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | BETA: splitting (58) gives:
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | | Case 1:
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | (59) all_9_15 = e1 & op(e1, e1) = e1
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | ALPHA: (59) implies:
% 105.84/15.13 | | | | | | (60) all_9_15 = e1
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | COMBINE_EQS: (11), (60) imply:
% 105.84/15.13 | | | | | | (61) e2 = e1
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | COMBINE_EQS: (35), (61) imply:
% 105.84/15.13 | | | | | | (62) all_9_2 = e1
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | REF_CLOSE: (2), (3), (4), (7), (9), (10), (12), (13), (15), (16),
% 105.84/15.13 | | | | | | (18), (19), (20), (21), (22), (24), (28), (29), (31),
% 105.84/15.13 | | | | | | (34), (36), (37), (62) are inconsistent by sub-proof
% 105.84/15.13 | | | | | | #181.
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | Case 2:
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | (63) all_9_23 = e1 & op(e0, e1) = e1
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | COMBINE_EQS: (8), (38) imply:
% 105.84/15.13 | | | | | | (64) e1 = e0
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | REDUCE: (5), (6) imply:
% 105.84/15.13 | | | | | | (65) $false
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | | CLOSE: (65) is inconsistent.
% 105.84/15.13 | | | | | |
% 105.84/15.13 | | | | | End of split
% 105.84/15.13 | | | | |
% 105.84/15.13 | | | | End of split
% 105.84/15.13 | | | |
% 105.84/15.13 | | | End of split
% 105.84/15.13 | | |
% 105.84/15.13 | | Case 2:
% 105.84/15.13 | | |
% 105.84/15.13 | | | (66) (all_9_15 = e4 & op(e1, e1) = e4) | (all_9_23 = e4 & op(e0, e1) =
% 105.84/15.13 | | | e4)
% 105.84/15.13 | | |
% 105.84/15.13 | | | BETA: splitting (66) gives:
% 105.84/15.13 | | |
% 105.84/15.13 | | | Case 1:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (67) all_9_15 = e4 & op(e1, e1) = e4
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | ALPHA: (67) implies:
% 105.84/15.13 | | | | (68) all_9_15 = e4
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | COMBINE_EQS: (11), (68) imply:
% 105.84/15.13 | | | | (69) e4 = e2
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | SIMP: (69) implies:
% 105.84/15.13 | | | | (70) e4 = e2
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | COMBINE_EQS: (27), (70) imply:
% 105.84/15.13 | | | | (71) all_9_20 = e2
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | REF_CLOSE: (2), (4), (7), (9), (10), (12), (13), (15), (16), (17), (19),
% 105.84/15.13 | | | | (20), (21), (23), (28), (31), (34), (36), (37), (71) are
% 105.84/15.13 | | | | inconsistent by sub-proof #156.
% 105.84/15.13 | | | |
% 105.84/15.13 | | | Case 2:
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | (72) all_9_23 = e4 & op(e0, e1) = e4
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | ALPHA: (72) implies:
% 105.84/15.13 | | | | (73) all_9_23 = e4
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | COMBINE_EQS: (38), (73) imply:
% 105.84/15.13 | | | | (74) e4 = e0
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | REDUCE: (15), (74) imply:
% 105.84/15.13 | | | | (75) $false
% 105.84/15.13 | | | |
% 105.84/15.13 | | | | CLOSE: (75) is inconsistent.
% 105.84/15.13 | | | |
% 105.84/15.13 | | | End of split
% 105.84/15.13 | | |
% 105.84/15.13 | | End of split
% 105.84/15.13 | |
% 105.84/15.13 | End of split
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #114 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) e3 = e1 | ~ (op(e4, e1) = e1)
% 105.84/15.13 (2) op(e4, e1) = e1
% 105.84/15.13 (3) ~ (e3 = e1)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | BETA: splitting (1) gives:
% 105.84/15.13 |
% 105.84/15.13 | Case 1:
% 105.84/15.13 | |
% 105.84/15.13 | | (4) ~ (op(e4, e1) = e1)
% 105.84/15.13 | |
% 105.84/15.13 | | PRED_UNIFY: (2), (4) imply:
% 105.84/15.13 | | (5) $false
% 105.84/15.13 | |
% 105.84/15.13 | | CLOSE: (5) is inconsistent.
% 105.84/15.13 | |
% 105.84/15.13 | Case 2:
% 105.84/15.13 | |
% 105.84/15.13 | | (6) e3 = e1
% 105.84/15.13 | |
% 105.84/15.13 | | REDUCE: (3), (6) imply:
% 105.84/15.13 | | (7) $false
% 105.84/15.13 | |
% 105.84/15.13 | | CLOSE: (7) is inconsistent.
% 105.84/15.13 | |
% 105.84/15.13 | End of split
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #115 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_9_17 = e0 & op(e3, e0) = e0
% 105.84/15.13 (2) ~ (op(e3, e0) = e0)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | ALPHA: (1) implies:
% 105.84/15.13 | (3) op(e3, e0) = e0
% 105.84/15.13 |
% 105.84/15.13 | PRED_UNIFY: (2), (3) imply:
% 105.84/15.13 | (4) $false
% 105.84/15.13 |
% 105.84/15.13 | CLOSE: (4) is inconsistent.
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #116 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_9_14 = e4 & op(e1, e2) = e4
% 105.84/15.13 (2) all_9_14 = e3
% 105.84/15.13 (3) ~ (e4 = e3)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | ALPHA: (1) implies:
% 105.84/15.13 | (4) all_9_14 = e4
% 105.84/15.13 |
% 105.84/15.13 | COMBINE_EQS: (2), (4) imply:
% 105.84/15.13 | (5) e4 = e3
% 105.84/15.13 |
% 105.84/15.13 | SIMP: (5) implies:
% 105.84/15.13 | (6) e4 = e3
% 105.84/15.13 |
% 105.84/15.13 | REDUCE: (3), (6) imply:
% 105.84/15.13 | (7) $false
% 105.84/15.13 |
% 105.84/15.13 | CLOSE: (7) is inconsistent.
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #117 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) all_9_13 = e1 & op(e1, e3) = e1
% 105.84/15.13 (2) ~ (op(e1, e3) = e1)
% 105.84/15.13
% 105.84/15.13 Begin of proof
% 105.84/15.13 |
% 105.84/15.13 | ALPHA: (1) implies:
% 105.84/15.13 | (3) op(e1, e3) = e1
% 105.84/15.13 |
% 105.84/15.13 | PRED_UNIFY: (2), (3) imply:
% 105.84/15.13 | (4) $false
% 105.84/15.13 |
% 105.84/15.13 | CLOSE: (4) is inconsistent.
% 105.84/15.13 |
% 105.84/15.13 End of proof
% 105.84/15.13
% 105.84/15.13 Sub-proof #118 shows that the following formulas are inconsistent:
% 105.84/15.13 ----------------------------------------------------------------
% 105.84/15.13 (1) ~ (op(e2, e4) = e4)
% 105.84/15.13 (2) all_6_0 = e1
% 105.84/15.13 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.13 (4) all_9_12 = e0
% 105.84/15.13 (5) ~ (e1 = e0)
% 105.84/15.13 (6) op(e4, e4) = e1
% 105.84/15.13 (7) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.13 (8) op(e2, e3) = all_4_7
% 105.84/15.13 (9) ~ (e4 = e1)
% 105.84/15.13 (10) all_9_15 = e2
% 105.84/15.13 (11) ~ (op(e1, e2) = e1)
% 105.84/15.13 (12) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.13 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.13 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.13 (13) all_9_9 = e3
% 105.84/15.13 (14) op(e0, e0) = all_8_64
% 105.84/15.13 (15) ~ (e4 = e3)
% 105.84/15.13 (16) ~ (e4 = e0)
% 105.84/15.13 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.13 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.13 (18) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.13 (19) ~ (e2 = e0)
% 105.84/15.13 (20) all_9_18 = e2
% 105.84/15.13 (21) ~ (e3 = e1)
% 105.84/15.13 (22) all_9_10 = e4
% 105.84/15.13 (23) all_9_5 = e1
% 105.84/15.13 (24) ~ (e3 = e2)
% 105.84/15.14 (25) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.14 (26) ~ (e2 = e1)
% 105.84/15.14 (27) all_6_5 = e2
% 105.84/15.14 (28) ~ (all_4_7 = e4)
% 105.84/15.14 (29) ~ (op(e0, e1) = e0)
% 105.84/15.14 (30) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.14 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.14 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.14 (31) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 105.84/15.14 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 105.84/15.14 (all_9_18 = e4 & op(e2, e0) = e4)
% 105.84/15.14 (32) op(e0, e0) = e0
% 105.84/15.14 (33) all_9_22 = e2
% 105.84/15.14 (34) all_9_20 = e4
% 105.84/15.14 (35) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.14 (36) ~ (all_4_2 = e2)
% 105.84/15.14 (37) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.14 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 105.84/15.14 (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.14 (38) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.14 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.14 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.14 (39) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.14 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.14 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.14 (40) all_9_4 = e0
% 105.84/15.14 (41) all_8_64 = e1
% 105.84/15.14 (42) all_9_6 = e3
% 105.84/15.14 (43) all_4_1 = e2
% 105.84/15.14 (44) all_9_2 = e2
% 105.84/15.14 (45) ~ (e3 = e0)
% 105.84/15.14 (46) ~ (e4 = e2)
% 105.84/15.14
% 105.84/15.14 Begin of proof
% 105.84/15.14 |
% 105.84/15.14 | REDUCE: (14), (41) imply:
% 105.84/15.14 | (47) op(e0, e0) = e1
% 105.84/15.14 |
% 105.84/15.14 | GROUND_INST: instantiating (17) with e0, e1, e0, e0, simplifying with (32),
% 105.84/15.14 | (47) gives:
% 105.84/15.14 | (48) e1 = e0
% 105.84/15.14 |
% 105.84/15.14 | COMBINE_EQS: (23), (48) imply:
% 105.84/15.14 | (49) all_9_5 = e0
% 105.84/15.14 |
% 105.84/15.14 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 105.84/15.14 | (13), (15), (16), (17), (18), (19), (20), (21), (22), (24), (25),
% 105.84/15.14 | (26), (27), (28), (29), (30), (31), (33), (34), (35), (36), (37),
% 105.84/15.14 | (38), (39), (40), (42), (43), (44), (45), (46), (49) are
% 105.84/15.14 | inconsistent by sub-proof #119.
% 105.84/15.14 |
% 105.84/15.14 End of proof
% 105.84/15.14
% 105.84/15.14 Sub-proof #119 shows that the following formulas are inconsistent:
% 105.84/15.14 ----------------------------------------------------------------
% 105.84/15.14 (1) ~ (op(e2, e4) = e4)
% 105.84/15.14 (2) all_6_0 = e1
% 105.84/15.14 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 105.84/15.14 (4) all_9_12 = e0
% 105.84/15.14 (5) ~ (e1 = e0)
% 105.84/15.14 (6) op(e4, e4) = e1
% 105.84/15.14 (7) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 105.84/15.14 (8) op(e2, e3) = all_4_7
% 105.84/15.14 (9) ~ (e4 = e1)
% 105.84/15.14 (10) all_9_15 = e2
% 105.84/15.14 (11) ~ (op(e1, e2) = e1)
% 105.84/15.14 (12) all_9_5 = e0
% 105.84/15.14 (13) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 105.84/15.14 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 105.84/15.14 (all_9_20 = e3 & op(e0, e4) = e3)
% 105.84/15.14 (14) all_9_9 = e3
% 105.84/15.14 (15) ~ (e4 = e3)
% 105.84/15.14 (16) ~ (e4 = e0)
% 105.84/15.14 (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 105.84/15.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 105.84/15.14 (18) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 105.84/15.14 (19) ~ (e2 = e0)
% 105.84/15.14 (20) all_9_18 = e2
% 105.84/15.14 (21) ~ (e3 = e1)
% 105.84/15.14 (22) all_9_10 = e4
% 105.84/15.14 (23) ~ (e3 = e2)
% 105.84/15.14 (24) e4 = e0 | ~ (op(e1, e4) = e4)
% 105.84/15.14 (25) ~ (e2 = e1)
% 105.84/15.14 (26) all_6_5 = e2
% 105.84/15.14 (27) ~ (all_4_7 = e4)
% 105.84/15.14 (28) ~ (op(e0, e1) = e0)
% 105.84/15.14 (29) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 105.84/15.14 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 105.84/15.14 (all_9_20 = e2 & op(e0, e4) = e2)
% 105.84/15.14 (30) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 105.84/15.14 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 105.84/15.14 (all_9_18 = e4 & op(e2, e0) = e4)
% 105.84/15.14 (31) all_9_22 = e2
% 105.84/15.14 (32) all_9_20 = e4
% 105.84/15.14 (33) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 105.84/15.14 (34) ~ (all_4_2 = e2)
% 105.84/15.14 (35) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 105.84/15.14 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 105.84/15.14 (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.14 (36) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 105.84/15.14 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 105.84/15.14 (all_9_20 = e4 & op(e0, e4) = e4)
% 105.84/15.14 (37) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 105.84/15.14 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 105.84/15.14 (all_9_22 = e1 & op(e0, e2) = e1)
% 105.84/15.14 (38) all_9_4 = e0
% 105.84/15.14 (39) all_9_6 = e3
% 105.84/15.14 (40) all_4_1 = e2
% 105.84/15.14 (41) all_9_2 = e2
% 105.84/15.14 (42) ~ (e3 = e0)
% 105.84/15.14 (43) ~ (e4 = e2)
% 105.84/15.14
% 105.84/15.14 Begin of proof
% 105.84/15.14 |
% 105.84/15.14 | BETA: splitting (35) gives:
% 105.84/15.14 |
% 105.84/15.14 | Case 1:
% 105.84/15.14 | |
% 105.84/15.14 | | (44) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0)
% 105.84/15.14 | |
% 105.84/15.14 | | BETA: splitting (44) gives:
% 105.84/15.14 | |
% 105.84/15.14 | | Case 1:
% 105.84/15.14 | | |
% 105.84/15.14 | | | (45) all_9_9 = e0 & op(e4, e1) = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | REF_CLOSE: (4), (6), (13), (14), (15), (17), (18), (21), (23), (26), (32),
% 105.84/15.14 | | | (39), (42), (45) are inconsistent by sub-proof #164.
% 105.84/15.14 | | |
% 105.84/15.14 | | Case 2:
% 105.84/15.14 | | |
% 105.84/15.14 | | | (46) all_9_10 = e0 & op(e3, e1) = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | ALPHA: (46) implies:
% 105.84/15.14 | | | (47) all_9_10 = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | COMBINE_EQS: (22), (47) imply:
% 105.84/15.14 | | | (48) e4 = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | REDUCE: (16), (48) imply:
% 105.84/15.14 | | | (49) $false
% 105.84/15.14 | | |
% 105.84/15.14 | | | CLOSE: (49) is inconsistent.
% 105.84/15.14 | | |
% 105.84/15.14 | | End of split
% 105.84/15.14 | |
% 105.84/15.14 | Case 2:
% 105.84/15.14 | |
% 105.84/15.14 | | (50) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) =
% 105.84/15.14 | | e0) | (all_9_23 = e0 & op(e0, e1) = e0)
% 105.84/15.14 | |
% 105.84/15.14 | | BETA: splitting (50) gives:
% 105.84/15.14 | |
% 105.84/15.14 | | Case 1:
% 105.84/15.14 | | |
% 105.84/15.14 | | | (51) all_9_11 = e0 & op(e2, e1) = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | ALPHA: (51) implies:
% 105.84/15.14 | | | (52) all_9_11 = e0
% 105.84/15.14 | | |
% 105.84/15.14 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 105.84/15.14 | | | (15), (16), (17), (19), (20), (21), (23), (24), (25), (27),
% 105.84/15.14 | | | (29), (30), (31), (33), (34), (36), (37), (38), (40), (41),
% 105.84/15.14 | | | (42), (43), (52) are inconsistent by sub-proof #121.
% 105.84/15.14 | | |
% 105.84/15.14 | | Case 2:
% 106.03/15.14 | | |
% 106.03/15.14 | | | (53) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1) =
% 106.03/15.14 | | | e0)
% 106.03/15.14 | | |
% 106.03/15.14 | | | REF_CLOSE: (10), (19), (28), (53) are inconsistent by sub-proof #120.
% 106.03/15.14 | | |
% 106.03/15.14 | | End of split
% 106.03/15.14 | |
% 106.03/15.14 | End of split
% 106.03/15.14 |
% 106.03/15.14 End of proof
% 106.03/15.14
% 106.03/15.14 Sub-proof #120 shows that the following formulas are inconsistent:
% 106.03/15.14 ----------------------------------------------------------------
% 106.03/15.14 (1) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1) = e0)
% 106.03/15.14 (2) all_9_15 = e2
% 106.03/15.14 (3) ~ (e2 = e0)
% 106.03/15.14 (4) ~ (op(e0, e1) = e0)
% 106.03/15.14
% 106.03/15.14 Begin of proof
% 106.03/15.14 |
% 106.03/15.14 | BETA: splitting (1) gives:
% 106.03/15.14 |
% 106.03/15.14 | Case 1:
% 106.03/15.14 | |
% 106.03/15.14 | | (5) all_9_15 = e0 & op(e1, e1) = e0
% 106.03/15.14 | |
% 106.03/15.14 | | ALPHA: (5) implies:
% 106.03/15.14 | | (6) all_9_15 = e0
% 106.03/15.14 | |
% 106.03/15.14 | | COMBINE_EQS: (2), (6) imply:
% 106.03/15.14 | | (7) e2 = e0
% 106.03/15.14 | |
% 106.03/15.14 | | REDUCE: (3), (7) imply:
% 106.03/15.14 | | (8) $false
% 106.03/15.14 | |
% 106.03/15.14 | | CLOSE: (8) is inconsistent.
% 106.03/15.14 | |
% 106.03/15.14 | Case 2:
% 106.03/15.14 | |
% 106.03/15.14 | | (9) all_9_23 = e0 & op(e0, e1) = e0
% 106.03/15.14 | |
% 106.03/15.14 | | ALPHA: (9) implies:
% 106.03/15.14 | | (10) op(e0, e1) = e0
% 106.03/15.14 | |
% 106.03/15.14 | | PRED_UNIFY: (4), (10) imply:
% 106.03/15.14 | | (11) $false
% 106.03/15.14 | |
% 106.03/15.14 | | CLOSE: (11) is inconsistent.
% 106.03/15.14 | |
% 106.03/15.14 | End of split
% 106.03/15.14 |
% 106.03/15.14 End of proof
% 106.03/15.14
% 106.03/15.14 Sub-proof #121 shows that the following formulas are inconsistent:
% 106.03/15.14 ----------------------------------------------------------------
% 106.03/15.14 (1) ~ (op(e2, e4) = e4)
% 106.03/15.14 (2) all_6_0 = e1
% 106.03/15.14 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.03/15.14 (4) all_9_12 = e0
% 106.03/15.14 (5) ~ (e1 = e0)
% 106.03/15.14 (6) all_9_11 = e0
% 106.03/15.14 (7) op(e4, e4) = e1
% 106.03/15.14 (8) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.03/15.14 (9) op(e2, e3) = all_4_7
% 106.03/15.14 (10) ~ (e4 = e1)
% 106.03/15.14 (11) ~ (op(e1, e2) = e1)
% 106.03/15.14 (12) all_9_5 = e0
% 106.03/15.14 (13) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.03/15.14 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.03/15.14 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.03/15.14 (14) ~ (e4 = e3)
% 106.03/15.14 (15) ~ (e4 = e0)
% 106.03/15.14 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.03/15.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.03/15.14 (17) ~ (e2 = e0)
% 106.03/15.14 (18) all_9_18 = e2
% 106.03/15.14 (19) ~ (e3 = e1)
% 106.03/15.14 (20) ~ (e3 = e2)
% 106.03/15.14 (21) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.03/15.14 (22) ~ (e2 = e1)
% 106.03/15.14 (23) ~ (all_4_7 = e4)
% 106.03/15.14 (24) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.03/15.14 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.03/15.14 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.03/15.14 (25) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 106.03/15.14 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 106.03/15.14 (all_9_18 = e4 & op(e2, e0) = e4)
% 106.03/15.14 (26) all_9_22 = e2
% 106.03/15.14 (27) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.03/15.14 (28) ~ (all_4_2 = e2)
% 106.03/15.14 (29) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.03/15.14 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.03/15.14 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.03/15.14 (30) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) = e1) |
% 106.03/15.14 (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) = e1) |
% 106.03/15.14 (all_9_22 = e1 & op(e0, e2) = e1)
% 106.03/15.14 (31) all_9_4 = e0
% 106.03/15.14 (32) all_4_1 = e2
% 106.03/15.14 (33) all_9_2 = e2
% 106.03/15.14 (34) ~ (e3 = e0)
% 106.03/15.14 (35) ~ (e4 = e2)
% 106.03/15.14
% 106.03/15.14 Begin of proof
% 106.03/15.14 |
% 106.03/15.14 | BETA: splitting (25) gives:
% 106.03/15.14 |
% 106.03/15.14 | Case 1:
% 106.03/15.14 | |
% 106.03/15.14 | | (36) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4)
% 106.03/15.14 | |
% 106.03/15.14 | | BETA: splitting (36) gives:
% 106.03/15.14 | |
% 106.03/15.14 | | Case 1:
% 106.03/15.14 | | |
% 106.03/15.14 | | | (37) all_9_6 = e4 & op(e2, e4) = e4
% 106.03/15.14 | | |
% 106.03/15.14 | | | ALPHA: (37) implies:
% 106.03/15.14 | | | (38) op(e2, e4) = e4
% 106.03/15.14 | | |
% 106.03/15.14 | | | PRED_UNIFY: (1), (38) imply:
% 106.03/15.14 | | | (39) $false
% 106.03/15.14 | | |
% 106.03/15.14 | | | CLOSE: (39) is inconsistent.
% 106.03/15.14 | | |
% 106.03/15.14 | | Case 2:
% 106.03/15.14 | | |
% 106.03/15.14 | | | (40) all_9_7 = e4 & op(e2, e3) = e4
% 106.03/15.14 | | |
% 106.03/15.14 | | | REF_CLOSE: (9), (16), (23), (40) are inconsistent by sub-proof #140.
% 106.03/15.14 | | |
% 106.03/15.14 | | End of split
% 106.03/15.14 | |
% 106.03/15.14 | Case 2:
% 106.03/15.14 | |
% 106.03/15.14 | | (41) (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4)
% 106.03/15.14 | | | (all_9_18 = e4 & op(e2, e0) = e4)
% 106.03/15.14 | |
% 106.03/15.14 | | BETA: splitting (41) gives:
% 106.03/15.14 | |
% 106.03/15.14 | | Case 1:
% 106.03/15.14 | | |
% 106.03/15.14 | | | (42) all_9_8 = e4 & op(e2, e2) = e4
% 106.03/15.14 | | |
% 106.03/15.14 | | | ALPHA: (42) implies:
% 106.03/15.14 | | | (43) all_9_8 = e4
% 106.03/15.14 | | |
% 106.03/15.14 | | | BETA: splitting (30) gives:
% 106.03/15.14 | | |
% 106.03/15.14 | | | Case 1:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | (44) (all_9_4 = e1 & op(e4, e2) = e1) | (all_9_5 = e1 & op(e3, e2) =
% 106.03/15.14 | | | | e1)
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | BETA: splitting (44) gives:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | Case 1:
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | (45) all_9_4 = e1 & op(e4, e2) = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | REF_CLOSE: (5), (31), (45) are inconsistent by sub-proof #169.
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | Case 2:
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | (46) all_9_5 = e1 & op(e3, e2) = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | ALPHA: (46) implies:
% 106.03/15.14 | | | | | (47) all_9_5 = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | COMBINE_EQS: (12), (47) imply:
% 106.03/15.14 | | | | | (48) e1 = e0
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | SIMP: (48) implies:
% 106.03/15.14 | | | | | (49) e1 = e0
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | REDUCE: (5), (49) imply:
% 106.03/15.14 | | | | | (50) $false
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | CLOSE: (50) is inconsistent.
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | End of split
% 106.03/15.14 | | | |
% 106.03/15.14 | | | Case 2:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | (51) (all_9_8 = e1 & op(e2, e2) = e1) | (all_9_14 = e1 & op(e1, e2) =
% 106.03/15.14 | | | | e1) | (all_9_22 = e1 & op(e0, e2) = e1)
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | BETA: splitting (51) gives:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | Case 1:
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | (52) all_9_8 = e1 & op(e2, e2) = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | ALPHA: (52) implies:
% 106.03/15.14 | | | | | (53) all_9_8 = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | COMBINE_EQS: (43), (53) imply:
% 106.03/15.14 | | | | | (54) e4 = e1
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | REDUCE: (10), (54) imply:
% 106.03/15.14 | | | | | (55) $false
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | CLOSE: (55) is inconsistent.
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | Case 2:
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | (56) (all_9_14 = e1 & op(e1, e2) = e1) | (all_9_22 = e1 & op(e0,
% 106.03/15.14 | | | | | e2) = e1)
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | BETA: splitting (56) gives:
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | | Case 1:
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | | (57) all_9_14 = e1 & op(e1, e2) = e1
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | | REF_CLOSE: (11), (57) are inconsistent by sub-proof #122.
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | Case 2:
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | | (58) all_9_22 = e1 & op(e0, e2) = e1
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | | REF_CLOSE: (2), (3), (4), (7), (8), (10), (13), (14), (15), (16),
% 106.03/15.14 | | | | | | (17), (19), (20), (21), (22), (24), (26), (27), (28),
% 106.03/15.14 | | | | | | (29), (32), (33), (34), (35), (58) are inconsistent by
% 106.03/15.14 | | | | | | sub-proof #144.
% 106.03/15.14 | | | | | |
% 106.03/15.14 | | | | | End of split
% 106.03/15.14 | | | | |
% 106.03/15.14 | | | | End of split
% 106.03/15.14 | | | |
% 106.03/15.14 | | | End of split
% 106.03/15.14 | | |
% 106.03/15.14 | | Case 2:
% 106.03/15.14 | | |
% 106.03/15.14 | | | (59) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_18 = e4 & op(e2, e0) =
% 106.03/15.14 | | | e4)
% 106.03/15.14 | | |
% 106.03/15.14 | | | BETA: splitting (59) gives:
% 106.03/15.14 | | |
% 106.03/15.14 | | | Case 1:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | (60) all_9_11 = e4 & op(e2, e1) = e4
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | ALPHA: (60) implies:
% 106.03/15.14 | | | | (61) all_9_11 = e4
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | REF_CLOSE: (6), (15), (61) are inconsistent by sub-proof #158.
% 106.03/15.14 | | | |
% 106.03/15.14 | | | Case 2:
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | (62) all_9_18 = e4 & op(e2, e0) = e4
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | ALPHA: (62) implies:
% 106.03/15.14 | | | | (63) all_9_18 = e4
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | COMBINE_EQS: (18), (63) imply:
% 106.03/15.14 | | | | (64) e4 = e2
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | REDUCE: (35), (64) imply:
% 106.03/15.14 | | | | (65) $false
% 106.03/15.14 | | | |
% 106.03/15.14 | | | | CLOSE: (65) is inconsistent.
% 106.03/15.14 | | | |
% 106.03/15.14 | | | End of split
% 106.03/15.14 | | |
% 106.03/15.14 | | End of split
% 106.03/15.14 | |
% 106.03/15.14 | End of split
% 106.03/15.14 |
% 106.03/15.14 End of proof
% 106.03/15.14
% 106.03/15.14 Sub-proof #122 shows that the following formulas are inconsistent:
% 106.03/15.14 ----------------------------------------------------------------
% 106.03/15.14 (1) all_9_14 = e1 & op(e1, e2) = e1
% 106.03/15.14 (2) ~ (op(e1, e2) = e1)
% 106.03/15.14
% 106.03/15.14 Begin of proof
% 106.03/15.14 |
% 106.03/15.14 | ALPHA: (1) implies:
% 106.03/15.14 | (3) op(e1, e2) = e1
% 106.03/15.14 |
% 106.03/15.14 | PRED_UNIFY: (2), (3) imply:
% 106.03/15.14 | (4) $false
% 106.03/15.14 |
% 106.03/15.14 | CLOSE: (4) is inconsistent.
% 106.03/15.14 |
% 106.03/15.14 End of proof
% 106.03/15.14
% 106.03/15.14 Sub-proof #123 shows that the following formulas are inconsistent:
% 106.03/15.14 ----------------------------------------------------------------
% 106.03/15.14 (1) all_6_0 = e1
% 106.03/15.14 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.03/15.14 (3) ~ (all_4_2 = e4)
% 106.03/15.14 (4) all_9_12 = e0
% 106.03/15.14 (5) op(e2, e2) = e4
% 106.03/15.14 (6) op(e4, e4) = e1
% 106.03/15.14 (7) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.03/15.14 (8) ~ (e4 = e1)
% 106.03/15.14 (9) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.03/15.14 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.03/15.14 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.03/15.14 (10) op(e3, e3) = all_4_6
% 106.03/15.14 (11) ~ (e4 = e3)
% 106.03/15.14 (12) ~ (all_4_6 = e2)
% 106.03/15.14 (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.03/15.14 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.03/15.14 (14) all_9_17 = e3
% 106.03/15.14 (15) ~ (e3 = e1)
% 106.03/15.14 (16) all_9_10 = e4
% 106.03/15.14 (17) all_9_5 = e1
% 106.03/15.14 (18) ~ (all_4_6 = e4)
% 106.03/15.14 (19) ~ (e3 = e2)
% 106.03/15.14 (20) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.03/15.14 (21) ~ (e2 = e1)
% 106.03/15.14 (22) all_6_6 = e2 | all_6_6 = e0
% 106.03/15.14 (23) ~ (all_4_6 = e3)
% 106.03/15.14 (24) all_6_6 = all_4_6
% 106.03/15.14 (25) op(e2, e2) = e0
% 106.06/15.14 (26) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.14 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.14 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.14 (27) all_9_20 = e4
% 106.06/15.14 (28) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.14 (29) ~ (all_4_2 = e2)
% 106.06/15.14 (30) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.14 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.14 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.14 (31) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.14 (32) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.14 (33) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.14 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.14 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.14 (34) ~ (op(e4, e4) = e4)
% 106.06/15.14 (35) all_4_1 = e2
% 106.06/15.14 (36) ~ (e4 = e2)
% 106.06/15.14
% 106.06/15.14 Begin of proof
% 106.06/15.14 |
% 106.06/15.14 | BETA: splitting (22) gives:
% 106.06/15.14 |
% 106.06/15.14 | Case 1:
% 106.06/15.14 | |
% 106.06/15.14 | | (37) all_6_6 = e2
% 106.06/15.14 | |
% 106.06/15.14 | | REF_CLOSE: (12), (24), (37) are inconsistent by sub-proof #136.
% 106.06/15.14 | |
% 106.06/15.14 | Case 2:
% 106.06/15.14 | |
% 106.06/15.14 | | (38) all_6_6 = e0
% 106.06/15.14 | |
% 106.06/15.14 | | COMBINE_EQS: (24), (38) imply:
% 106.06/15.14 | | (39) all_4_6 = e0
% 106.06/15.14 | |
% 106.06/15.14 | | SIMP: (39) implies:
% 106.06/15.14 | | (40) all_4_6 = e0
% 106.06/15.14 | |
% 106.06/15.14 | | REDUCE: (18), (40) imply:
% 106.06/15.14 | | (41) ~ (e4 = e0)
% 106.06/15.14 | |
% 106.06/15.14 | | SIMP: (41) implies:
% 106.06/15.14 | | (42) ~ (e4 = e0)
% 106.06/15.14 | |
% 106.06/15.14 | | REDUCE: (23), (40) imply:
% 106.06/15.14 | | (43) ~ (e3 = e0)
% 106.06/15.14 | |
% 106.06/15.14 | | SIMP: (43) implies:
% 106.06/15.15 | | (44) ~ (e3 = e0)
% 106.06/15.15 | |
% 106.06/15.15 | | REDUCE: (12), (40) imply:
% 106.06/15.15 | | (45) ~ (e2 = e0)
% 106.06/15.15 | |
% 106.06/15.15 | | SIMP: (45) implies:
% 106.06/15.15 | | (46) ~ (e2 = e0)
% 106.06/15.15 | |
% 106.06/15.15 | | GROUND_INST: instantiating (13) with e0, e4, e2, e2, simplifying with (5),
% 106.06/15.15 | | (25) gives:
% 106.06/15.15 | | (47) e4 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | COMBINE_EQS: (16), (47) imply:
% 106.06/15.15 | | (48) all_9_10 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (13), (14),
% 106.06/15.15 | | (15), (17), (18), (19), (20), (21), (26), (27), (28), (29), (30),
% 106.06/15.15 | | (31), (32), (33), (34), (35), (36), (42), (44), (46), (48) are
% 106.06/15.15 | | inconsistent by sub-proof #161.
% 106.06/15.15 | |
% 106.06/15.15 | End of split
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #124 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (2) op(e2, e2) = e4
% 106.06/15.15 (3) op(e2, e2) = e1
% 106.06/15.15 (4) ~ (e4 = e1)
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | GROUND_INST: instantiating (1) with e1, e4, e2, e2, simplifying with (2), (3)
% 106.06/15.15 | gives:
% 106.06/15.15 | (5) e4 = e1
% 106.06/15.15 |
% 106.06/15.15 | REDUCE: (4), (5) imply:
% 106.06/15.15 | (6) $false
% 106.06/15.15 |
% 106.06/15.15 | CLOSE: (6) is inconsistent.
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #125 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) all_9_12 = e0
% 106.06/15.15 (2) op(e4, e4) = e1
% 106.06/15.15 (3) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.15 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.15 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.15 (4) ~ (e4 = e3)
% 106.06/15.15 (5) ~ (all_4_6 = e2)
% 106.06/15.15 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (7) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.15 (8) ~ (e3 = e1)
% 106.06/15.15 (9) ~ (e3 = e2)
% 106.06/15.15 (10) all_6_5 = e2
% 106.06/15.15 (11) all_6_6 = e2 | all_6_6 = e0
% 106.06/15.15 (12) ~ (all_4_6 = e3)
% 106.06/15.15 (13) all_6_6 = all_4_6
% 106.06/15.15 (14) op(e0, e0) = e3
% 106.06/15.15 (15) op(e0, e0) = e0
% 106.06/15.15 (16) all_9_20 = e4
% 106.06/15.15 (17) all_9_6 = e3
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | BETA: splitting (11) gives:
% 106.06/15.15 |
% 106.06/15.15 | Case 1:
% 106.06/15.15 | |
% 106.06/15.15 | | (18) all_6_6 = e2
% 106.06/15.15 | |
% 106.06/15.15 | | REF_CLOSE: (5), (13), (18) are inconsistent by sub-proof #136.
% 106.06/15.15 | |
% 106.06/15.15 | Case 2:
% 106.06/15.15 | |
% 106.06/15.15 | | (19) all_6_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | COMBINE_EQS: (13), (19) imply:
% 106.06/15.15 | | (20) all_4_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | SIMP: (20) implies:
% 106.06/15.15 | | (21) all_4_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | REDUCE: (12), (21) imply:
% 106.06/15.15 | | (22) ~ (e3 = e0)
% 106.06/15.15 | |
% 106.06/15.15 | | SIMP: (22) implies:
% 106.06/15.15 | | (23) ~ (e3 = e0)
% 106.06/15.15 | |
% 106.06/15.15 | | GROUND_INST: instantiating (6) with e0, e3, e0, e0, simplifying with (14),
% 106.06/15.15 | | (15) gives:
% 106.06/15.15 | | (24) e3 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | COMBINE_EQS: (17), (24) imply:
% 106.06/15.15 | | (25) all_9_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (16), (23), (25)
% 106.06/15.15 | | are inconsistent by sub-proof #172.
% 106.06/15.15 | |
% 106.06/15.15 | End of split
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #126 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (2) op(e1, e1) = all_4_18
% 106.06/15.15 (3) op(e1, e1) = e3
% 106.06/15.15 (4) ~ (all_4_18 = e3)
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | GROUND_INST: instantiating (1) with all_4_18, e3, e1, e1, simplifying with
% 106.06/15.15 | (2), (3) gives:
% 106.06/15.15 | (5) all_4_18 = e3
% 106.06/15.15 |
% 106.06/15.15 | REDUCE: (4), (5) imply:
% 106.06/15.15 | (6) $false
% 106.06/15.15 |
% 106.06/15.15 | CLOSE: (6) is inconsistent.
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #127 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) ~ (all_4_5 = all_4_8)
% 106.06/15.15 (2) ~ (all_4_8 = e3)
% 106.06/15.15 (3) all_6_0 = e1
% 106.06/15.15 (4) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.15 (5) ~ (all_4_2 = e4)
% 106.06/15.15 (6) all_9_12 = e0
% 106.06/15.15 (7) ~ (all_4_9 = e4)
% 106.06/15.15 (8) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 106.06/15.15 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 106.06/15.15 (all_9_18 = e2 & op(e2, e0) = e2)
% 106.06/15.15 (9) ~ (op(e4, e3) = e4)
% 106.06/15.15 (10) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.15 (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 106.06/15.15 (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.15 (11) ~ (all_4_6 = all_4_8)
% 106.06/15.15 (12) all_9_8 = e4
% 106.06/15.15 (13) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.15 (14) op(e2, e2) = e4
% 106.06/15.15 (15) all_6_1 = all_4_5
% 106.06/15.15 (16) op(e4, e4) = e1
% 106.06/15.15 (17) op(e1, e3) = all_4_8
% 106.06/15.15 (18) ~ (all_4_8 = e0)
% 106.06/15.15 (19) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.15 (20) all_6_16 = all_4_8
% 106.06/15.15 (21) ~ (e4 = e1)
% 106.06/15.15 (22) all_9_15 = e2
% 106.06/15.15 (23) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.15 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.15 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.15 (24) op(e3, e3) = all_4_6
% 106.06/15.15 (25) all_9_9 = e3
% 106.06/15.15 (26) all_6_21 = e3
% 106.06/15.15 (27) ~ (e4 = e3)
% 106.06/15.15 (28) ~ (all_4_6 = e2)
% 106.06/15.15 (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (30) all_9_17 = e3
% 106.06/15.15 (31) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.15 (32) all_9_18 = e2
% 106.06/15.15 (33) all_6_1 = e2 | all_6_1 = e0
% 106.06/15.15 (34) ~ (e3 = e1)
% 106.06/15.15 (35) all_9_7 = e1
% 106.06/15.15 (36) all_9_5 = e1
% 106.06/15.15 (37) ~ (all_4_6 = e4)
% 106.06/15.15 (38) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.15 (39) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 106.06/15.15 (40) all_6_5 = e2
% 106.06/15.15 (41) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.15 (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 106.06/15.15 (all_9_21 = e1 & op(e0, e3) = e1)
% 106.06/15.15 (42) ~ (all_4_6 = e3)
% 106.06/15.15 (43) all_6_6 = all_4_6
% 106.06/15.15 (44) ~ (all_4_5 = e3)
% 106.06/15.15 (45) op(e2, e2) = e3
% 106.06/15.15 (46) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 106.06/15.15 (47) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.15 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.15 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.15 (48) ~ (all_4_5 = e1)
% 106.06/15.15 (49) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 106.06/15.15 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 106.06/15.15 (all_9_18 = e4 & op(e2, e0) = e4)
% 106.06/15.15 (50) all_9_20 = e4
% 106.06/15.15 (51) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.15 (52) ~ (all_4_2 = e2)
% 106.06/15.15 (53) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 106.06/15.15 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 106.06/15.15 (all_9_23 = e0 & op(e0, e1) = e0)
% 106.06/15.15 (54) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.15 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.15 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.15 (55) ~ (all_4_19 = e0)
% 106.06/15.15 (56) ~ (all_4_5 = e0)
% 106.06/15.15 (57) ~ (all_4_8 = e1)
% 106.06/15.15 (58) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.15 (59) all_9_21 = e3
% 106.06/15.15 (60) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.15 (61) all_9_6 = e3
% 106.06/15.15 (62) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.15 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.15 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.15 (63) ~ (op(e4, e4) = e4)
% 106.06/15.15 (64) (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 106.06/15.15 (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 & op(e1, e3) = e0) |
% 106.06/15.15 (all_9_21 = e0 & op(e0, e3) = e0)
% 106.06/15.15 (65) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16
% 106.06/15.15 = e0
% 106.06/15.15 (66) all_4_1 = e2
% 106.06/15.15 (67) all_9_2 = e2
% 106.06/15.15 (68) op(e0, e3) = all_4_9
% 106.06/15.15 (69) ~ (all_4_6 = e1)
% 106.06/15.15 (70) all_9_1 = e2
% 106.06/15.15 (71) ~ (all_4_5 = e4)
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | BETA: splitting (13) gives:
% 106.06/15.15 |
% 106.06/15.15 | Case 1:
% 106.06/15.15 | |
% 106.06/15.15 | | (72) all_6_6 = e3
% 106.06/15.15 | |
% 106.06/15.15 | | REF_CLOSE: (42), (43), (72) are inconsistent by sub-proof #138.
% 106.06/15.15 | |
% 106.06/15.15 | Case 2:
% 106.06/15.15 | |
% 106.06/15.15 | | (73) ~ (all_6_6 = e3)
% 106.06/15.15 | | (74) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | BETA: splitting (74) gives:
% 106.06/15.15 | |
% 106.06/15.15 | | Case 1:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (75) all_6_6 = e1
% 106.06/15.15 | | |
% 106.06/15.15 | | | REF_CLOSE: (43), (69), (75) are inconsistent by sub-proof #137.
% 106.06/15.15 | | |
% 106.06/15.15 | | Case 2:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (76) ~ (all_6_6 = e1)
% 106.06/15.15 | | | (77) all_6_6 = e2 | all_6_6 = e0
% 106.06/15.15 | | |
% 106.06/15.15 | | | BETA: splitting (77) gives:
% 106.06/15.15 | | |
% 106.06/15.15 | | | Case 1:
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | (78) all_6_6 = e2
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REF_CLOSE: (28), (43), (78) are inconsistent by sub-proof #136.
% 106.06/15.15 | | | |
% 106.06/15.15 | | | Case 2:
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | (79) all_6_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | COMBINE_EQS: (43), (79) imply:
% 106.06/15.15 | | | | (80) all_4_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (80) implies:
% 106.06/15.15 | | | | (81) all_4_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (37), (81) imply:
% 106.06/15.15 | | | | (82) ~ (e4 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (82) implies:
% 106.06/15.15 | | | | (83) ~ (e4 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (42), (81) imply:
% 106.06/15.15 | | | | (84) ~ (e3 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (84) implies:
% 106.06/15.15 | | | | (85) ~ (e3 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (69), (81) imply:
% 106.06/15.15 | | | | (86) ~ (e1 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (86) implies:
% 106.06/15.15 | | | | (87) ~ (e1 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | GROUND_INST: instantiating (29) with e3, e4, e2, e2, simplifying with
% 106.06/15.15 | | | | (14), (45) gives:
% 106.06/15.15 | | | | (88) e4 = e3
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | COMBINE_EQS: (12), (88) imply:
% 106.06/15.15 | | | | (89) all_9_8 = e3
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 106.06/15.15 | | | | (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 106.06/15.15 | | | | (25), (26), (27), (29), (30), (31), (32), (33), (34), (35),
% 106.06/15.15 | | | | (36), (38), (39), (40), (41), (44), (46), (47), (48), (49),
% 106.06/15.15 | | | | (50), (51), (52), (53), (54), (55), (56), (57), (58), (59),
% 106.06/15.15 | | | | (60), (61), (62), (63), (64), (65), (66), (67), (68), (70),
% 106.06/15.15 | | | | (71), (83), (85), (87), (89) are inconsistent by sub-proof
% 106.06/15.15 | | | | #148.
% 106.06/15.15 | | | |
% 106.06/15.15 | | | End of split
% 106.06/15.15 | | |
% 106.06/15.15 | | End of split
% 106.06/15.15 | |
% 106.06/15.15 | End of split
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #128 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) all_6_0 = e1
% 106.06/15.15 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.15 (3) all_9_12 = e0
% 106.06/15.15 (4) ~ (all_4_9 = e4)
% 106.06/15.15 (5) ~ (op(e4, e3) = e4)
% 106.06/15.15 (6) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.15 (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 106.06/15.15 (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.15 (7) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.15 (8) op(e4, e4) = e1
% 106.06/15.15 (9) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.15 (10) ~ (e4 = e1)
% 106.06/15.15 (11) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.15 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.15 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.15 (12) op(e3, e3) = all_4_6
% 106.06/15.15 (13) ~ (e4 = e3)
% 106.06/15.15 (14) ~ (all_4_6 = e2)
% 106.06/15.15 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (16) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.15 (17) ~ (e3 = e1)
% 106.06/15.15 (18) ~ (all_4_6 = e4)
% 106.06/15.15 (19) ~ (e3 = e2)
% 106.06/15.15 (20) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.15 (21) ~ (e2 = e1)
% 106.06/15.15 (22) all_6_5 = e2
% 106.06/15.15 (23) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.15 (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 106.06/15.15 (all_9_21 = e1 & op(e0, e3) = e1)
% 106.06/15.15 (24) ~ (all_4_6 = e3)
% 106.06/15.15 (25) op(e1, e1) = e4
% 106.06/15.15 (26) all_6_6 = all_4_6
% 106.06/15.15 (27) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.15 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.15 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.15 (28) op(e1, e1) = e2
% 106.06/15.15 (29) all_9_20 = e4
% 106.06/15.15 (30) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.15 (31) ~ (all_4_2 = e2)
% 106.06/15.15 (32) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.15 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.15 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.15 (33) all_9_21 = e3
% 106.06/15.15 (34) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.15 (35) all_9_6 = e3
% 106.06/15.15 (36) all_4_1 = e2
% 106.06/15.15 (37) all_9_2 = e2
% 106.06/15.15 (38) all_9_3 = e0
% 106.06/15.15 (39) op(e0, e3) = all_4_9
% 106.06/15.15 (40) ~ (all_4_6 = e1)
% 106.06/15.15 (41) all_9_13 = e4
% 106.06/15.15 (42) ~ (e4 = e2)
% 106.06/15.15 (43) all_9_1 = e2
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | BETA: splitting (7) gives:
% 106.06/15.15 |
% 106.06/15.15 | Case 1:
% 106.06/15.15 | |
% 106.06/15.15 | | (44) all_6_6 = e3
% 106.06/15.15 | |
% 106.06/15.15 | | REF_CLOSE: (24), (26), (44) are inconsistent by sub-proof #138.
% 106.06/15.15 | |
% 106.06/15.15 | Case 2:
% 106.06/15.15 | |
% 106.06/15.15 | | (45) ~ (all_6_6 = e3)
% 106.06/15.15 | | (46) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.15 | |
% 106.06/15.15 | | BETA: splitting (46) gives:
% 106.06/15.15 | |
% 106.06/15.15 | | Case 1:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (47) all_6_6 = e1
% 106.06/15.15 | | |
% 106.06/15.15 | | | REF_CLOSE: (26), (40), (47) are inconsistent by sub-proof #137.
% 106.06/15.15 | | |
% 106.06/15.15 | | Case 2:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (48) ~ (all_6_6 = e1)
% 106.06/15.15 | | | (49) all_6_6 = e2 | all_6_6 = e0
% 106.06/15.15 | | |
% 106.06/15.15 | | | BETA: splitting (49) gives:
% 106.06/15.15 | | |
% 106.06/15.15 | | | Case 1:
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | (50) all_6_6 = e2
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REF_CLOSE: (14), (26), (50) are inconsistent by sub-proof #136.
% 106.06/15.15 | | | |
% 106.06/15.15 | | | Case 2:
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | (51) all_6_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | COMBINE_EQS: (26), (51) imply:
% 106.06/15.15 | | | | (52) all_4_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (52) implies:
% 106.06/15.15 | | | | (53) all_4_6 = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (18), (53) imply:
% 106.06/15.15 | | | | (54) ~ (e4 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (54) implies:
% 106.06/15.15 | | | | (55) ~ (e4 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (24), (53) imply:
% 106.06/15.15 | | | | (56) ~ (e3 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (56) implies:
% 106.06/15.15 | | | | (57) ~ (e3 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (14), (53) imply:
% 106.06/15.15 | | | | (58) ~ (e2 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (58) implies:
% 106.06/15.15 | | | | (59) ~ (e2 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (40), (53) imply:
% 106.06/15.15 | | | | (60) ~ (e1 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | SIMP: (60) implies:
% 106.06/15.15 | | | | (61) ~ (e1 = e0)
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REDUCE: (12), (53) imply:
% 106.06/15.15 | | | | (62) op(e3, e3) = e0
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | GROUND_INST: instantiating (15) with e2, e4, e1, e1, simplifying with
% 106.06/15.15 | | | | (25), (28) gives:
% 106.06/15.15 | | | | (63) e4 = e2
% 106.06/15.15 | | | |
% 106.06/15.15 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (9), (10), (11), (13),
% 106.06/15.15 | | | | (15), (16), (17), (19), (20), (21), (22), (23), (27), (29),
% 106.06/15.15 | | | | (30), (31), (32), (33), (34), (35), (36), (37), (38), (39),
% 106.06/15.15 | | | | (41), (42), (43), (55), (57), (59), (61), (62), (63) are
% 106.06/15.15 | | | | inconsistent by sub-proof #150.
% 106.06/15.15 | | | |
% 106.06/15.15 | | | End of split
% 106.06/15.15 | | |
% 106.06/15.15 | | End of split
% 106.06/15.15 | |
% 106.06/15.15 | End of split
% 106.06/15.15 |
% 106.06/15.15 End of proof
% 106.06/15.15
% 106.06/15.15 Sub-proof #129 shows that the following formulas are inconsistent:
% 106.06/15.15 ----------------------------------------------------------------
% 106.06/15.15 (1) op(e4, e4) = e1
% 106.06/15.15 (2) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 = e4) & op(e4, e4) = e3 &
% 106.06/15.15 op(e4, e3) = all_8_40 & op(e3, e3) = e4 & $i(all_8_40)) | (all_8_57 =
% 106.06/15.15 e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4, e4) = e3 & op(e3, e4)
% 106.06/15.15 = all_8_44 & op(e3, e3) = e4 & $i(all_8_44)) | (all_8_57 = e2 &
% 106.06/15.15 all_8_61 = e4 & ~ (all_8_41 = e4) & op(e4, e4) = e2 & op(e4, e2) =
% 106.06/15.15 all_8_41 & op(e2, e2) = e4 & $i(all_8_41)) | (all_8_57 = e2 & all_8_61
% 106.06/15.15 = e4 & ~ (all_8_48 = e2) & op(e4, e4) = e2 & op(e2, e4) = all_8_48 &
% 106.06/15.15 op(e2, e2) = e4 & $i(all_8_48))
% 106.06/15.15 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.15 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.15 (4) ~ (e3 = e1)
% 106.06/15.15 (5) ~ (e2 = e1)
% 106.06/15.15
% 106.06/15.15 Begin of proof
% 106.06/15.15 |
% 106.06/15.15 | BETA: splitting (2) gives:
% 106.06/15.15 |
% 106.06/15.15 | Case 1:
% 106.06/15.15 | |
% 106.06/15.15 | | (6) (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 = e4) & op(e4, e4) = e3
% 106.06/15.15 | | & op(e4, e3) = all_8_40 & op(e3, e3) = e4 & $i(all_8_40)) |
% 106.06/15.15 | | (all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4, e4) = e3
% 106.06/15.15 | | & op(e3, e4) = all_8_44 & op(e3, e3) = e4 & $i(all_8_44))
% 106.06/15.15 | |
% 106.06/15.15 | | BETA: splitting (6) gives:
% 106.06/15.15 | |
% 106.06/15.15 | | Case 1:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (7) all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_40 = e4) & op(e4, e4) =
% 106.06/15.15 | | | e3 & op(e4, e3) = all_8_40 & op(e3, e3) = e4 & $i(all_8_40)
% 106.06/15.15 | | |
% 106.06/15.15 | | | ALPHA: (7) implies:
% 106.06/15.15 | | | (8) op(e4, e4) = e3
% 106.06/15.15 | | |
% 106.06/15.15 | | | REF_CLOSE: (1), (3), (4), (8) are inconsistent by sub-proof #216.
% 106.06/15.15 | | |
% 106.06/15.15 | | Case 2:
% 106.06/15.15 | | |
% 106.06/15.15 | | | (9) all_8_57 = e3 & all_8_59 = e4 & ~ (all_8_44 = e3) & op(e4, e4) =
% 106.06/15.15 | | | e3 & op(e3, e4) = all_8_44 & op(e3, e3) = e4 & $i(all_8_44)
% 106.06/15.15 | | |
% 106.06/15.15 | | | ALPHA: (9) implies:
% 106.06/15.15 | | | (10) op(e4, e4) = e3
% 106.06/15.15 | | |
% 106.06/15.15 | | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #216.
% 106.06/15.15 | | |
% 106.06/15.15 | | End of split
% 106.06/15.15 | |
% 106.06/15.15 | Case 2:
% 106.06/15.15 | |
% 106.06/15.16 | | (11) (all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_41 = e4) & op(e4, e4) =
% 106.06/15.16 | | e2 & op(e4, e2) = all_8_41 & op(e2, e2) = e4 & $i(all_8_41)) |
% 106.06/15.16 | | (all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_48 = e2) & op(e4, e4) =
% 106.06/15.16 | | e2 & op(e2, e4) = all_8_48 & op(e2, e2) = e4 & $i(all_8_48))
% 106.06/15.16 | |
% 106.06/15.16 | | BETA: splitting (11) gives:
% 106.06/15.16 | |
% 106.06/15.16 | | Case 1:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (12) all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_41 = e4) & op(e4, e4) =
% 106.06/15.16 | | | e2 & op(e4, e2) = all_8_41 & op(e2, e2) = e4 & $i(all_8_41)
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (12) implies:
% 106.06/15.16 | | | (13) op(e4, e4) = e2
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (1), (3), (5), (13) are inconsistent by sub-proof #222.
% 106.06/15.16 | | |
% 106.06/15.16 | | Case 2:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (14) all_8_57 = e2 & all_8_61 = e4 & ~ (all_8_48 = e2) & op(e4, e4) =
% 106.06/15.16 | | | e2 & op(e2, e4) = all_8_48 & op(e2, e2) = e4 & $i(all_8_48)
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (14) implies:
% 106.06/15.16 | | | (15) op(e4, e4) = e2
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (1), (3), (5), (15) are inconsistent by sub-proof #222.
% 106.06/15.16 | | |
% 106.06/15.16 | | End of split
% 106.06/15.16 | |
% 106.06/15.16 | End of split
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #130 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.16 (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1) |
% 106.06/15.16 (all_9_17 = e1 & op(e3, e0) = e1)
% 106.06/15.16 (2) all_6_0 = e1
% 106.06/15.16 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.16 (4) all_9_12 = e0
% 106.06/15.16 (5) ~ (e1 = e0)
% 106.06/15.16 (6) op(e4, e4) = e1
% 106.06/15.16 (7) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.16 (8) ~ (all_4_11 = e3)
% 106.06/15.16 (9) ~ (e4 = e1)
% 106.06/15.16 (10) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.16 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.16 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.16 (11) all_9_5 = e4 & op(e3, e2) = e4
% 106.06/15.16 (12) ~ (e4 = e3)
% 106.06/15.16 (13) ~ (e4 = e0)
% 106.06/15.16 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.16 (15) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.16 (16) ~ (e2 = e0)
% 106.06/15.16 (17) ~ (e3 = e1)
% 106.06/15.16 (18) ~ (e3 = e2)
% 106.06/15.16 (19) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.16 (20) ~ (e2 = e1)
% 106.06/15.16 (21) op(e3, e3) = e0
% 106.06/15.16 (22) all_6_5 = e2
% 106.06/15.16 (23) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 106.06/15.16 (24) ~ (all_4_6 = e3)
% 106.06/15.16 (25) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.16 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.16 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.16 (26) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 106.06/15.16 (27) all_9_20 = e4
% 106.06/15.16 (28) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.16 (29) ~ (all_4_2 = e2)
% 106.06/15.16 (30) all_6_7 = all_4_11
% 106.06/15.16 (31) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.16 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.16 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.16 (32) ~ (all_4_16 = e3)
% 106.06/15.16 (33) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 106.06/15.16 (34) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 106.06/15.16 (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 106.06/15.16 (all_9_17 = e3 & op(e3, e0) = e3)
% 106.06/15.16 (35) all_9_6 = e3
% 106.06/15.16 (36) all_4_1 = e2
% 106.06/15.16 (37) ~ (op(e3, e1) = e1)
% 106.06/15.16 (38) ~ (e3 = e0)
% 106.06/15.16 (39) ~ (e4 = e2)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | ALPHA: (11) implies:
% 106.06/15.16 | (40) all_9_5 = e4
% 106.06/15.16 |
% 106.06/15.16 | BETA: splitting (1) gives:
% 106.06/15.16 |
% 106.06/15.16 | Case 1:
% 106.06/15.16 | |
% 106.06/15.16 | | (41) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1)
% 106.06/15.16 | |
% 106.06/15.16 | | BETA: splitting (41) gives:
% 106.06/15.16 | |
% 106.06/15.16 | | Case 1:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (42) all_9_2 = e1 & op(e3, e4) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (42) implies:
% 106.06/15.16 | | | (43) all_9_2 = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (2), (3), (4), (6), (7), (9), (10), (12), (13), (14), (16),
% 106.06/15.16 | | | (17), (18), (19), (20), (25), (28), (29), (31), (36), (38),
% 106.06/15.16 | | | (39), (43) are inconsistent by sub-proof #181.
% 106.06/15.16 | | |
% 106.06/15.16 | | Case 2:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (44) all_9_3 = e1 & op(e3, e3) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (44) implies:
% 106.06/15.16 | | | (45) op(e3, e3) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (5), (14), (21), (45) are inconsistent by sub-proof #153.
% 106.06/15.16 | | |
% 106.06/15.16 | | End of split
% 106.06/15.16 | |
% 106.06/15.16 | Case 2:
% 106.06/15.16 | |
% 106.06/15.16 | | (46) (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1)
% 106.06/15.16 | | | (all_9_17 = e1 & op(e3, e0) = e1)
% 106.06/15.16 | |
% 106.06/15.16 | | BETA: splitting (46) gives:
% 106.06/15.16 | |
% 106.06/15.16 | | Case 1:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (47) all_9_5 = e1 & op(e3, e2) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (47) implies:
% 106.06/15.16 | | | (48) all_9_5 = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | COMBINE_EQS: (40), (48) imply:
% 106.06/15.16 | | | (49) e4 = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | REDUCE: (9), (49) imply:
% 106.06/15.16 | | | (50) $false
% 106.06/15.16 | | |
% 106.06/15.16 | | | CLOSE: (50) is inconsistent.
% 106.06/15.16 | | |
% 106.06/15.16 | | Case 2:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (51) (all_9_10 = e1 & op(e3, e1) = e1) | (all_9_17 = e1 & op(e3, e0) =
% 106.06/15.16 | | | e1)
% 106.06/15.16 | | |
% 106.06/15.16 | | | BETA: splitting (51) gives:
% 106.06/15.16 | | |
% 106.06/15.16 | | | Case 1:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (52) all_9_10 = e1 & op(e3, e1) = e1
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | REF_CLOSE: (37), (52) are inconsistent by sub-proof #134.
% 106.06/15.16 | | | |
% 106.06/15.16 | | | Case 2:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (53) all_9_17 = e1 & op(e3, e0) = e1
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | REF_CLOSE: (3), (4), (6), (8), (10), (12), (14), (15), (16), (17), (18),
% 106.06/15.16 | | | | (20), (22), (23), (24), (25), (26), (27), (29), (30), (32),
% 106.06/15.16 | | | | (33), (34), (35), (38), (39), (53) are inconsistent by
% 106.06/15.16 | | | | sub-proof #142.
% 106.06/15.16 | | | |
% 106.06/15.16 | | | End of split
% 106.06/15.16 | | |
% 106.06/15.16 | | End of split
% 106.06/15.16 | |
% 106.06/15.16 | End of split
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #131 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) op(e3, e3) = all_4_6
% 106.06/15.16 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.16 (3) ~ (all_4_6 = e4)
% 106.06/15.16 (4) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4)
% 106.06/15.16 (5) ~ (op(e3, e4) = e4)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | BETA: splitting (4) gives:
% 106.06/15.16 |
% 106.06/15.16 | Case 1:
% 106.06/15.16 | |
% 106.06/15.16 | | (6) all_9_2 = e4 & op(e3, e4) = e4
% 106.06/15.16 | |
% 106.06/15.16 | | REF_CLOSE: (5), (6) are inconsistent by sub-proof #132.
% 106.06/15.16 | |
% 106.06/15.16 | Case 2:
% 106.06/15.16 | |
% 106.06/15.16 | | (7) all_9_3 = e4 & op(e3, e3) = e4
% 106.06/15.16 | |
% 106.06/15.16 | | ALPHA: (7) implies:
% 106.06/15.16 | | (8) op(e3, e3) = e4
% 106.06/15.16 | |
% 106.06/15.16 | | REF_CLOSE: (1), (2), (3), (8) are inconsistent by sub-proof #163.
% 106.06/15.16 | |
% 106.06/15.16 | End of split
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #132 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_9_2 = e4 & op(e3, e4) = e4
% 106.06/15.16 (2) ~ (op(e3, e4) = e4)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | ALPHA: (1) implies:
% 106.06/15.16 | (3) op(e3, e4) = e4
% 106.06/15.16 |
% 106.06/15.16 | PRED_UNIFY: (2), (3) imply:
% 106.06/15.16 | (4) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (4) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #133 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.16 (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1) |
% 106.06/15.16 (all_9_17 = e1 & op(e3, e0) = e1)
% 106.06/15.16 (2) ~ (all_4_8 = e3)
% 106.06/15.16 (3) all_6_0 = e1
% 106.06/15.16 (4) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.16 (5) ~ (all_4_2 = e4)
% 106.06/15.16 (6) all_9_12 = e0
% 106.06/15.16 (7) ~ (all_4_8 = e2)
% 106.06/15.16 (8) op(e1, e3) = e4
% 106.06/15.16 (9) ~ (all_4_6 = all_4_8)
% 106.06/15.16 (10) ~ (all_4_11 = e2)
% 106.06/15.16 (11) op(e4, e4) = e1
% 106.06/15.16 (12) op(e1, e3) = all_4_8
% 106.06/15.16 (13) ~ (all_4_8 = e0)
% 106.06/15.16 (14) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.16 (15) all_6_16 = all_4_8
% 106.06/15.16 (16) ~ (all_4_11 = e3)
% 106.06/15.16 (17) ~ (e4 = e1)
% 106.06/15.16 (18) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.16 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.16 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.16 (19) op(e3, e3) = all_4_6
% 106.06/15.16 (20) ~ (e4 = e3)
% 106.06/15.16 (21) ~ (e4 = e0)
% 106.06/15.16 (22) ~ (all_4_6 = e2)
% 106.06/15.16 (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.16 (24) all_9_17 = e3
% 106.06/15.16 (25) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.16 (26) ~ (e2 = e0)
% 106.06/15.16 (27) ~ (e3 = e1)
% 106.06/15.16 (28) ~ (all_4_6 = e4)
% 106.06/15.16 (29) ~ (e3 = e2)
% 106.06/15.16 (30) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.16 (31) ~ (all_4_11 = e0)
% 106.06/15.16 (32) ~ (e2 = e1)
% 106.06/15.16 (33) all_6_5 = e2
% 106.06/15.16 (34) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 106.06/15.16 (35) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 106.06/15.16 (36) ~ (all_4_6 = e3)
% 106.06/15.16 (37) all_6_6 = all_4_6
% 106.06/15.16 (38) all_9_10 = e0 & op(e3, e1) = e0
% 106.06/15.16 (39) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.16 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.16 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.16 (40) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 106.06/15.16 (41) all_9_20 = e4
% 106.06/15.16 (42) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.16 (43) ~ (all_4_2 = e2)
% 106.06/15.16 (44) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.16 (45) all_6_7 = all_4_11
% 106.06/15.16 (46) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.16 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.16 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.16 (47) ~ (all_4_16 = e3)
% 106.06/15.16 (48) ~ (all_4_6 = all_4_11)
% 106.06/15.16 (49) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 106.06/15.16 (50) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 106.06/15.16 (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 106.06/15.16 (all_9_17 = e3 & op(e3, e0) = e3)
% 106.06/15.16 (51) ~ (all_4_8 = e1)
% 106.06/15.16 (52) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.16 (53) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.16 (54) all_9_6 = e3
% 106.06/15.16 (55) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.16 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.16 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.16 (56) ~ (op(e4, e4) = e4)
% 106.06/15.16 (57) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16
% 106.06/15.16 = e0
% 106.06/15.16 (58) all_4_1 = e2
% 106.06/15.16 (59) ~ (op(e3, e1) = e1)
% 106.06/15.16 (60) ~ (e3 = e0)
% 106.06/15.16 (61) ~ (e4 = e2)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | ALPHA: (38) implies:
% 106.06/15.16 | (62) all_9_10 = e0
% 106.06/15.16 |
% 106.06/15.16 | BETA: splitting (1) gives:
% 106.06/15.16 |
% 106.06/15.16 | Case 1:
% 106.06/15.16 | |
% 106.06/15.16 | | (63) (all_9_2 = e1 & op(e3, e4) = e1) | (all_9_3 = e1 & op(e3, e3) = e1)
% 106.06/15.16 | |
% 106.06/15.16 | | BETA: splitting (63) gives:
% 106.06/15.16 | |
% 106.06/15.16 | | Case 1:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (64) all_9_2 = e1 & op(e3, e4) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (64) implies:
% 106.06/15.16 | | | (65) all_9_2 = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (3), (4), (6), (11), (14), (17), (18), (20), (21), (23), (26),
% 106.06/15.16 | | | (27), (29), (30), (32), (39), (42), (43), (46), (58), (60),
% 106.06/15.16 | | | (61), (65) are inconsistent by sub-proof #181.
% 106.06/15.16 | | |
% 106.06/15.16 | | Case 2:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (66) all_9_3 = e1 & op(e3, e3) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (66) implies:
% 106.06/15.16 | | | (67) op(e3, e3) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | BETA: splitting (34) gives:
% 106.06/15.16 | | |
% 106.06/15.16 | | | Case 1:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (68) all_6_7 = e3
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | COMBINE_EQS: (45), (68) imply:
% 106.06/15.16 | | | | (69) all_4_11 = e3
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | SIMP: (69) implies:
% 106.06/15.16 | | | | (70) all_4_11 = e3
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | REDUCE: (16), (70) imply:
% 106.06/15.16 | | | | (71) $false
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | CLOSE: (71) is inconsistent.
% 106.06/15.16 | | | |
% 106.06/15.16 | | | Case 2:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (72) all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | BETA: splitting (72) gives:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | Case 1:
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | (73) all_6_7 = e1
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | COMBINE_EQS: (45), (73) imply:
% 106.06/15.16 | | | | | (74) all_4_11 = e1
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | SIMP: (74) implies:
% 106.06/15.16 | | | | | (75) all_4_11 = e1
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | REDUCE: (48), (75) imply:
% 106.06/15.16 | | | | | (76) ~ (all_4_6 = e1)
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | BETA: splitting (44) gives:
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | Case 1:
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | | (77) all_6_6 = e4
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | | REF_CLOSE: (28), (37), (77) are inconsistent by sub-proof #139.
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | Case 2:
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | | (78) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | | BETA: splitting (78) gives:
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | | Case 1:
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | | (79) all_6_6 = e3
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | | REF_CLOSE: (36), (37), (79) are inconsistent by sub-proof #138.
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | Case 2:
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | | (80) all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | | BETA: splitting (80) gives:
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | | Case 1:
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | | (81) all_6_6 = e1
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | | REF_CLOSE: (37), (76), (81) are inconsistent by sub-proof #137.
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | Case 2:
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | | (82) ~ (all_6_6 = e1)
% 106.06/15.16 | | | | | | | | (83) all_6_6 = e2 | all_6_6 = e0
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | | BETA: splitting (83) gives:
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | | Case 1:
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | (84) all_6_6 = e2
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | REF_CLOSE: (22), (37), (84) are inconsistent by sub-proof
% 106.06/15.16 | | | | | | | | | #136.
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | Case 2:
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | (85) all_6_6 = e0
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | COMBINE_EQS: (37), (85) imply:
% 106.06/15.16 | | | | | | | | | (86) all_4_6 = e0
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | SIMP: (86) implies:
% 106.06/15.16 | | | | | | | | | (87) all_4_6 = e0
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | REDUCE: (76), (87) imply:
% 106.06/15.16 | | | | | | | | | (88) ~ (e1 = e0)
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | SIMP: (88) implies:
% 106.06/15.16 | | | | | | | | | (89) ~ (e1 = e0)
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | REDUCE: (19), (87) imply:
% 106.06/15.16 | | | | | | | | | (90) op(e3, e3) = e0
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | | REF_CLOSE: (23), (67), (89), (90) are inconsistent by
% 106.06/15.16 | | | | | | | | | sub-proof #153.
% 106.06/15.16 | | | | | | | | |
% 106.06/15.16 | | | | | | | | End of split
% 106.06/15.16 | | | | | | | |
% 106.06/15.16 | | | | | | | End of split
% 106.06/15.16 | | | | | | |
% 106.06/15.16 | | | | | | End of split
% 106.06/15.16 | | | | | |
% 106.06/15.16 | | | | | End of split
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | Case 2:
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | (91) all_6_7 = e2 | all_6_7 = e0
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | | REF_CLOSE: (10), (31), (45), (91) are inconsistent by sub-proof #135.
% 106.06/15.16 | | | | |
% 106.06/15.16 | | | | End of split
% 106.06/15.16 | | | |
% 106.06/15.16 | | | End of split
% 106.06/15.16 | | |
% 106.06/15.16 | | End of split
% 106.06/15.16 | |
% 106.06/15.16 | Case 2:
% 106.06/15.16 | |
% 106.06/15.16 | | (92) (all_9_5 = e1 & op(e3, e2) = e1) | (all_9_10 = e1 & op(e3, e1) = e1)
% 106.06/15.16 | | | (all_9_17 = e1 & op(e3, e0) = e1)
% 106.06/15.16 | |
% 106.06/15.16 | | BETA: splitting (92) gives:
% 106.06/15.16 | |
% 106.06/15.16 | | Case 1:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (93) all_9_5 = e1 & op(e3, e2) = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | ALPHA: (93) implies:
% 106.06/15.16 | | | (94) all_9_5 = e1
% 106.06/15.16 | | |
% 106.06/15.16 | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (14),
% 106.06/15.16 | | | (15), (18), (19), (23), (24), (26), (27), (29), (30), (32),
% 106.06/15.16 | | | (39), (41), (42), (43), (46), (51), (52), (53), (55), (56),
% 106.06/15.16 | | | (57), (58), (60), (62), (94) are inconsistent by sub-proof
% 106.06/15.16 | | | #159.
% 106.06/15.16 | | |
% 106.06/15.16 | | Case 2:
% 106.06/15.16 | | |
% 106.06/15.16 | | | (95) (all_9_10 = e1 & op(e3, e1) = e1) | (all_9_17 = e1 & op(e3, e0) =
% 106.06/15.16 | | | e1)
% 106.06/15.16 | | |
% 106.06/15.16 | | | BETA: splitting (95) gives:
% 106.06/15.16 | | |
% 106.06/15.16 | | | Case 1:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (96) all_9_10 = e1 & op(e3, e1) = e1
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | REF_CLOSE: (59), (96) are inconsistent by sub-proof #134.
% 106.06/15.16 | | | |
% 106.06/15.16 | | | Case 2:
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | (97) all_9_17 = e1 & op(e3, e0) = e1
% 106.06/15.16 | | | |
% 106.06/15.16 | | | | REF_CLOSE: (4), (6), (11), (16), (18), (20), (23), (25), (26), (27),
% 106.06/15.16 | | | | (29), (32), (33), (35), (36), (39), (40), (41), (43), (45),
% 106.06/15.16 | | | | (47), (49), (50), (54), (60), (61), (97) are inconsistent by
% 106.06/15.16 | | | | sub-proof #142.
% 106.06/15.16 | | | |
% 106.06/15.16 | | | End of split
% 106.06/15.16 | | |
% 106.06/15.16 | | End of split
% 106.06/15.16 | |
% 106.06/15.16 | End of split
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #134 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_9_10 = e1 & op(e3, e1) = e1
% 106.06/15.16 (2) ~ (op(e3, e1) = e1)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | ALPHA: (1) implies:
% 106.06/15.16 | (3) op(e3, e1) = e1
% 106.06/15.16 |
% 106.06/15.16 | PRED_UNIFY: (2), (3) imply:
% 106.06/15.16 | (4) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (4) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #135 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_6_7 = e2 | all_6_7 = e0
% 106.06/15.16 (2) all_6_7 = all_4_11
% 106.06/15.16 (3) ~ (all_4_11 = e2)
% 106.06/15.16 (4) ~ (all_4_11 = e0)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | BETA: splitting (1) gives:
% 106.06/15.16 |
% 106.06/15.16 | Case 1:
% 106.06/15.16 | |
% 106.06/15.16 | | (5) all_6_7 = e2
% 106.06/15.16 | |
% 106.06/15.16 | | COMBINE_EQS: (2), (5) imply:
% 106.06/15.16 | | (6) all_4_11 = e2
% 106.06/15.16 | |
% 106.06/15.16 | | REDUCE: (3), (6) imply:
% 106.06/15.16 | | (7) $false
% 106.06/15.16 | |
% 106.06/15.16 | | CLOSE: (7) is inconsistent.
% 106.06/15.16 | |
% 106.06/15.16 | Case 2:
% 106.06/15.16 | |
% 106.06/15.16 | | (8) all_6_7 = e0
% 106.06/15.16 | |
% 106.06/15.16 | | COMBINE_EQS: (2), (8) imply:
% 106.06/15.16 | | (9) all_4_11 = e0
% 106.06/15.16 | |
% 106.06/15.16 | | REDUCE: (4), (9) imply:
% 106.06/15.16 | | (10) $false
% 106.06/15.16 | |
% 106.06/15.16 | | CLOSE: (10) is inconsistent.
% 106.06/15.16 | |
% 106.06/15.16 | End of split
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #136 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_6_6 = all_4_6
% 106.06/15.16 (2) all_6_6 = e2
% 106.06/15.16 (3) ~ (all_4_6 = e2)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.16 | (4) all_4_6 = e2
% 106.06/15.16 |
% 106.06/15.16 | SIMP: (4) implies:
% 106.06/15.16 | (5) all_4_6 = e2
% 106.06/15.16 |
% 106.06/15.16 | REDUCE: (3), (5) imply:
% 106.06/15.16 | (6) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (6) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #137 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_6_6 = all_4_6
% 106.06/15.16 (2) all_6_6 = e1
% 106.06/15.16 (3) ~ (all_4_6 = e1)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.16 | (4) all_4_6 = e1
% 106.06/15.16 |
% 106.06/15.16 | SIMP: (4) implies:
% 106.06/15.16 | (5) all_4_6 = e1
% 106.06/15.16 |
% 106.06/15.16 | REDUCE: (3), (5) imply:
% 106.06/15.16 | (6) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (6) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #138 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_6_6 = all_4_6
% 106.06/15.16 (2) all_6_6 = e3
% 106.06/15.16 (3) ~ (all_4_6 = e3)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.16 | (4) all_4_6 = e3
% 106.06/15.16 |
% 106.06/15.16 | SIMP: (4) implies:
% 106.06/15.16 | (5) all_4_6 = e3
% 106.06/15.16 |
% 106.06/15.16 | REDUCE: (3), (5) imply:
% 106.06/15.16 | (6) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (6) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #139 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_6_6 = all_4_6
% 106.06/15.16 (2) all_6_6 = e4
% 106.06/15.16 (3) ~ (all_4_6 = e4)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.16 | (4) all_4_6 = e4
% 106.06/15.16 |
% 106.06/15.16 | SIMP: (4) implies:
% 106.06/15.16 | (5) all_4_6 = e4
% 106.06/15.16 |
% 106.06/15.16 | REDUCE: (3), (5) imply:
% 106.06/15.16 | (6) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (6) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #140 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) all_9_7 = e4 & op(e2, e3) = e4
% 106.06/15.16 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.16 (3) op(e2, e3) = all_4_7
% 106.06/15.16 (4) ~ (all_4_7 = e4)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | ALPHA: (1) implies:
% 106.06/15.16 | (5) op(e2, e3) = e4
% 106.06/15.16 |
% 106.06/15.16 | GROUND_INST: instantiating (2) with all_4_7, e4, e3, e2, simplifying with (3),
% 106.06/15.16 | (5) gives:
% 106.06/15.16 | (6) all_4_7 = e4
% 106.06/15.16 |
% 106.06/15.16 | REDUCE: (4), (6) imply:
% 106.06/15.16 | (7) $false
% 106.06/15.16 |
% 106.06/15.16 | CLOSE: (7) is inconsistent.
% 106.06/15.16 |
% 106.06/15.16 End of proof
% 106.06/15.16
% 106.06/15.16 Sub-proof #141 shows that the following formulas are inconsistent:
% 106.06/15.16 ----------------------------------------------------------------
% 106.06/15.16 (1) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4)
% 106.06/15.16 (2) ~ (op(e4, e3) = e4)
% 106.06/15.16 (3) op(e3, e3) = all_4_6
% 106.06/15.16 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.16 (5) ~ (all_4_6 = e4)
% 106.06/15.16
% 106.06/15.16 Begin of proof
% 106.06/15.16 |
% 106.06/15.16 | BETA: splitting (1) gives:
% 106.06/15.16 |
% 106.06/15.16 | Case 1:
% 106.06/15.16 | |
% 106.06/15.16 | | (6) all_9_1 = e4 & op(e4, e3) = e4
% 106.06/15.16 | |
% 106.06/15.16 | | REF_CLOSE: (2), (6) are inconsistent by sub-proof #179.
% 106.06/15.16 | |
% 106.06/15.16 | Case 2:
% 106.06/15.16 | |
% 106.06/15.16 | | (7) all_9_3 = e4 & op(e3, e3) = e4
% 106.06/15.17 | |
% 106.06/15.17 | | ALPHA: (7) implies:
% 106.06/15.17 | | (8) op(e3, e3) = e4
% 106.06/15.17 | |
% 106.06/15.17 | | REF_CLOSE: (3), (4), (5), (8) are inconsistent by sub-proof #163.
% 106.06/15.17 | |
% 106.06/15.17 | End of split
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #142 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (2) all_9_12 = e0
% 106.06/15.17 (3) op(e4, e4) = e1
% 106.06/15.17 (4) all_9_17 = e1 & op(e3, e0) = e1
% 106.06/15.17 (5) ~ (all_4_11 = e3)
% 106.06/15.17 (6) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (7) ~ (e4 = e3)
% 106.06/15.17 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (9) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.17 (10) ~ (e2 = e0)
% 106.06/15.17 (11) ~ (e3 = e1)
% 106.06/15.17 (12) ~ (e3 = e2)
% 106.06/15.17 (13) ~ (e2 = e1)
% 106.06/15.17 (14) all_6_5 = e2
% 106.06/15.17 (15) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 106.06/15.17 (16) ~ (all_4_6 = e3)
% 106.06/15.17 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (18) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 106.06/15.17 (19) all_9_20 = e4
% 106.06/15.17 (20) ~ (all_4_2 = e2)
% 106.06/15.17 (21) all_6_7 = all_4_11
% 106.06/15.17 (22) ~ (all_4_16 = e3)
% 106.06/15.17 (23) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 106.06/15.17 (24) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3) |
% 106.06/15.17 (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3) |
% 106.06/15.17 (all_9_17 = e3 & op(e3, e0) = e3)
% 106.06/15.17 (25) all_9_6 = e3
% 106.06/15.17 (26) ~ (e3 = e0)
% 106.06/15.17 (27) ~ (e4 = e2)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | ALPHA: (4) implies:
% 106.06/15.17 | (28) all_9_17 = e1
% 106.06/15.17 |
% 106.06/15.17 | BETA: splitting (24) gives:
% 106.06/15.17 |
% 106.06/15.17 | Case 1:
% 106.06/15.17 | |
% 106.06/15.17 | | (29) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3)
% 106.06/15.17 | |
% 106.06/15.17 | | REF_CLOSE: (9), (12), (14), (16), (23), (29) are inconsistent by sub-proof
% 106.06/15.17 | | #201.
% 106.06/15.17 | |
% 106.06/15.17 | Case 2:
% 106.06/15.17 | |
% 106.06/15.17 | | (30) (all_9_5 = e3 & op(e3, e2) = e3) | (all_9_10 = e3 & op(e3, e1) = e3)
% 106.06/15.17 | | | (all_9_17 = e3 & op(e3, e0) = e3)
% 106.06/15.17 | |
% 106.06/15.17 | | BETA: splitting (30) gives:
% 106.06/15.17 | |
% 106.06/15.17 | | Case 1:
% 106.06/15.17 | | |
% 106.06/15.17 | | | (31) all_9_5 = e3 & op(e3, e2) = e3
% 106.06/15.17 | | |
% 106.06/15.17 | | | REF_CLOSE: (5), (18), (21), (31) are inconsistent by sub-proof #200.
% 106.06/15.17 | | |
% 106.06/15.17 | | Case 2:
% 106.06/15.17 | | |
% 106.06/15.17 | | | (32) (all_9_10 = e3 & op(e3, e1) = e3) | (all_9_17 = e3 & op(e3, e0) =
% 106.06/15.17 | | | e3)
% 106.06/15.17 | | |
% 106.06/15.17 | | | BETA: splitting (32) gives:
% 106.06/15.17 | | |
% 106.06/15.17 | | | Case 1:
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | (33) all_9_10 = e3 & op(e3, e1) = e3
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | ALPHA: (33) implies:
% 106.06/15.17 | | | | (34) op(e3, e1) = e3
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | REF_CLOSE: (15), (22), (34) are inconsistent by sub-proof #199.
% 106.06/15.17 | | | |
% 106.06/15.17 | | | Case 2:
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | (35) all_9_17 = e3 & op(e3, e0) = e3
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | ALPHA: (35) implies:
% 106.06/15.17 | | | | (36) all_9_17 = e3
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | COMBINE_EQS: (28), (36) imply:
% 106.06/15.17 | | | | (37) e3 = e1
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (10), (11), (12), (13), (17),
% 106.06/15.17 | | | | (19), (20), (25), (26), (27), (37) are inconsistent by
% 106.06/15.17 | | | | sub-proof #143.
% 106.06/15.17 | | | |
% 106.06/15.17 | | | End of split
% 106.06/15.17 | | |
% 106.06/15.17 | | End of split
% 106.06/15.17 | |
% 106.06/15.17 | End of split
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #143 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (2) all_9_12 = e0
% 106.06/15.17 (3) op(e4, e4) = e1
% 106.06/15.17 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (5) ~ (e4 = e3)
% 106.06/15.17 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (7) ~ (e2 = e0)
% 106.06/15.17 (8) ~ (e3 = e1)
% 106.06/15.17 (9) e3 = e1
% 106.06/15.17 (10) ~ (e3 = e2)
% 106.06/15.17 (11) ~ (e2 = e1)
% 106.06/15.17 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (13) all_9_20 = e4
% 106.06/15.17 (14) ~ (all_4_2 = e2)
% 106.06/15.17 (15) all_9_6 = e3
% 106.06/15.17 (16) ~ (e3 = e0)
% 106.06/15.17 (17) ~ (e4 = e2)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | SIMP: (9) implies:
% 106.06/15.17 | (18) e3 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (15), (18) imply:
% 106.06/15.17 | (19) all_9_6 = e1
% 106.06/15.17 |
% 106.06/15.17 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (10), (11), (12), (13),
% 106.06/15.17 | (14), (16), (17), (19) are inconsistent by sub-proof #185.
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #144 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_6_0 = e1
% 106.06/15.17 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (3) all_9_12 = e0
% 106.06/15.17 (4) op(e4, e4) = e1
% 106.06/15.17 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.17 (6) ~ (e4 = e1)
% 106.06/15.17 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (8) ~ (e4 = e3)
% 106.06/15.17 (9) ~ (e4 = e0)
% 106.06/15.17 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (11) ~ (e2 = e0)
% 106.06/15.17 (12) ~ (e3 = e1)
% 106.06/15.17 (13) ~ (e3 = e2)
% 106.06/15.17 (14) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.17 (15) ~ (e2 = e1)
% 106.06/15.17 (16) all_9_22 = e1 & op(e0, e2) = e1
% 106.06/15.17 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (18) all_9_22 = e2
% 106.06/15.17 (19) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.17 (20) ~ (all_4_2 = e2)
% 106.06/15.17 (21) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.17 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.17 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.17 (22) all_4_1 = e2
% 106.06/15.17 (23) all_9_2 = e2
% 106.06/15.17 (24) ~ (e3 = e0)
% 106.06/15.17 (25) ~ (e4 = e2)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | ALPHA: (16) implies:
% 106.06/15.17 | (26) all_9_22 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (18), (26) imply:
% 106.06/15.17 | (27) e2 = e1
% 106.06/15.17 |
% 106.06/15.17 | SIMP: (27) implies:
% 106.06/15.17 | (28) e2 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (23), (28) imply:
% 106.06/15.17 | (29) all_9_2 = e1
% 106.06/15.17 |
% 106.06/15.17 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 106.06/15.17 | (13), (14), (15), (17), (19), (20), (21), (22), (24), (25), (29)
% 106.06/15.17 | are inconsistent by sub-proof #181.
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #145 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_6_17 = e1 | ~ (op(e1, e2) = e1)
% 106.06/15.17 (2) op(e1, e2) = e1
% 106.06/15.17 (3) all_6_17 = all_4_13
% 106.06/15.17 (4) ~ (all_4_13 = e1)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | BETA: splitting (1) gives:
% 106.06/15.17 |
% 106.06/15.17 | Case 1:
% 106.06/15.17 | |
% 106.06/15.17 | | (5) ~ (op(e1, e2) = e1)
% 106.06/15.17 | |
% 106.06/15.17 | | PRED_UNIFY: (2), (5) imply:
% 106.06/15.17 | | (6) $false
% 106.06/15.17 | |
% 106.06/15.17 | | CLOSE: (6) is inconsistent.
% 106.06/15.17 | |
% 106.06/15.17 | Case 2:
% 106.06/15.17 | |
% 106.06/15.17 | | (7) all_6_17 = e1
% 106.06/15.17 | |
% 106.06/15.17 | | COMBINE_EQS: (3), (7) imply:
% 106.06/15.17 | | (8) all_4_13 = e1
% 106.06/15.17 | |
% 106.06/15.17 | | SIMP: (8) implies:
% 106.06/15.17 | | (9) all_4_13 = e1
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (4), (9) imply:
% 106.06/15.17 | | (10) $false
% 106.06/15.17 | |
% 106.06/15.17 | | CLOSE: (10) is inconsistent.
% 106.06/15.17 | |
% 106.06/15.17 | End of split
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #146 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_6_0 = e1
% 106.06/15.17 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (3) all_9_12 = e0
% 106.06/15.17 (4) op(e4, e4) = e1
% 106.06/15.17 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.17 (6) ~ (e4 = e1)
% 106.06/15.17 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (8) ~ (e4 = e3)
% 106.06/15.17 (9) ~ (e4 = e0)
% 106.06/15.17 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (11) ~ (e2 = e0)
% 106.06/15.17 (12) all_9_18 = e2
% 106.06/15.17 (13) ~ (e3 = e1)
% 106.06/15.17 (14) ~ (e3 = e2)
% 106.06/15.17 (15) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.17 (16) ~ (e2 = e1)
% 106.06/15.17 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (18) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.17 (19) ~ (all_4_2 = e2)
% 106.06/15.17 (20) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.17 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.17 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.17 (21) all_9_18 = e1 & op(e2, e0) = e1
% 106.06/15.17 (22) all_4_1 = e2
% 106.06/15.17 (23) all_9_2 = e2
% 106.06/15.17 (24) ~ (e3 = e0)
% 106.06/15.17 (25) ~ (e4 = e2)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | ALPHA: (21) implies:
% 106.06/15.17 | (26) all_9_18 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (12), (26) imply:
% 106.06/15.17 | (27) e2 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (23), (27) imply:
% 106.06/15.17 | (28) all_9_2 = e1
% 106.06/15.17 |
% 106.06/15.17 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13),
% 106.06/15.17 | (14), (15), (16), (17), (18), (19), (20), (22), (24), (25), (28)
% 106.06/15.17 | are inconsistent by sub-proof #181.
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #147 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (2) all_9_12 = e0
% 106.06/15.17 (3) op(e4, e4) = e1
% 106.06/15.17 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (5) all_9_8 = e3
% 106.06/15.17 (6) ~ (e4 = e3)
% 106.06/15.17 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (8) ~ (e2 = e0)
% 106.06/15.17 (9) ~ (e3 = e1)
% 106.06/15.17 (10) ~ (e3 = e2)
% 106.06/15.17 (11) ~ (e2 = e1)
% 106.06/15.17 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (13) all_9_8 = e1 & op(e2, e2) = e1
% 106.06/15.17 (14) all_9_20 = e4
% 106.06/15.17 (15) ~ (all_4_2 = e2)
% 106.06/15.17 (16) all_9_6 = e3
% 106.06/15.17 (17) ~ (e3 = e0)
% 106.06/15.17 (18) ~ (e4 = e2)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | ALPHA: (13) implies:
% 106.06/15.17 | (19) all_9_8 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (5), (19) imply:
% 106.06/15.17 | (20) e3 = e1
% 106.06/15.17 |
% 106.06/15.17 | COMBINE_EQS: (16), (20) imply:
% 106.06/15.17 | (21) all_9_6 = e1
% 106.06/15.17 |
% 106.06/15.17 | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 106.06/15.17 | (15), (17), (18), (21) are inconsistent by sub-proof #185.
% 106.06/15.17 |
% 106.06/15.17 End of proof
% 106.06/15.17
% 106.06/15.17 Sub-proof #148 shows that the following formulas are inconsistent:
% 106.06/15.17 ----------------------------------------------------------------
% 106.06/15.17 (1) ~ (all_4_5 = all_4_8)
% 106.06/15.17 (2) ~ (all_4_8 = e3)
% 106.06/15.17 (3) all_6_0 = e1
% 106.06/15.17 (4) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.17 (5) ~ (all_4_2 = e4)
% 106.06/15.17 (6) all_9_12 = e0
% 106.06/15.17 (7) ~ (all_4_9 = e4)
% 106.06/15.17 (8) ~ (e1 = e0)
% 106.06/15.17 (9) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 & op(e2, e3) = e2) |
% 106.06/15.17 (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2 & op(e2, e1) = e2) |
% 106.06/15.17 (all_9_18 = e2 & op(e2, e0) = e2)
% 106.06/15.17 (10) ~ (op(e4, e3) = e4)
% 106.06/15.17 (11) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.17 (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 106.06/15.17 (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.17 (12) ~ (all_4_6 = all_4_8)
% 106.06/15.17 (13) all_6_1 = all_4_5
% 106.06/15.17 (14) op(e4, e4) = e1
% 106.06/15.17 (15) op(e1, e3) = all_4_8
% 106.06/15.17 (16) ~ (all_4_8 = e0)
% 106.06/15.17 (17) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.17 (18) all_6_16 = all_4_8
% 106.06/15.17 (19) ~ (e4 = e1)
% 106.06/15.17 (20) all_9_15 = e2
% 106.06/15.17 (21) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.17 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.17 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.17 (22) op(e3, e3) = all_4_6
% 106.06/15.17 (23) all_9_9 = e3
% 106.06/15.17 (24) all_9_8 = e3
% 106.06/15.17 (25) all_6_21 = e3
% 106.06/15.17 (26) ~ (e4 = e3)
% 106.06/15.17 (27) ~ (e4 = e0)
% 106.06/15.17 (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.17 (29) all_9_17 = e3
% 106.06/15.17 (30) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.17 (31) all_9_18 = e2
% 106.06/15.17 (32) all_6_1 = e2 | all_6_1 = e0
% 106.06/15.17 (33) ~ (e3 = e1)
% 106.06/15.17 (34) all_9_7 = e1
% 106.06/15.17 (35) all_9_5 = e1
% 106.06/15.17 (36) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.17 (37) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 106.06/15.17 (38) all_6_5 = e2
% 106.06/15.17 (39) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.17 (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 106.06/15.17 (all_9_21 = e1 & op(e0, e3) = e1)
% 106.06/15.17 (40) ~ (all_4_5 = e3)
% 106.06/15.17 (41) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 106.06/15.17 (42) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.17 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.17 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.17 (43) ~ (all_4_5 = e1)
% 106.06/15.17 (44) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 & op(e2, e3) = e4) |
% 106.06/15.17 (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 & op(e2, e1) = e4) |
% 106.06/15.17 (all_9_18 = e4 & op(e2, e0) = e4)
% 106.06/15.17 (45) all_9_20 = e4
% 106.06/15.17 (46) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.17 (47) ~ (all_4_2 = e2)
% 106.06/15.17 (48) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0 & op(e3, e1) = e0) |
% 106.06/15.17 (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0 & op(e1, e1) = e0) |
% 106.06/15.17 (all_9_23 = e0 & op(e0, e1) = e0)
% 106.06/15.17 (49) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.17 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.17 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.17 (50) ~ (all_4_19 = e0)
% 106.06/15.17 (51) ~ (all_4_5 = e0)
% 106.06/15.17 (52) ~ (all_4_8 = e1)
% 106.06/15.17 (53) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.17 (54) all_9_21 = e3
% 106.06/15.17 (55) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.17 (56) all_9_6 = e3
% 106.06/15.17 (57) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.17 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.17 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.17 (58) ~ (op(e4, e4) = e4)
% 106.06/15.17 (59) (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3, e3) = e0) |
% 106.06/15.17 (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 & op(e1, e3) = e0) |
% 106.06/15.17 (all_9_21 = e0 & op(e0, e3) = e0)
% 106.06/15.17 (60) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16
% 106.06/15.17 = e0
% 106.06/15.17 (61) all_4_1 = e2
% 106.06/15.17 (62) all_9_2 = e2
% 106.06/15.17 (63) ~ (e3 = e0)
% 106.06/15.17 (64) op(e0, e3) = all_4_9
% 106.06/15.17 (65) all_9_1 = e2
% 106.06/15.17 (66) ~ (all_4_5 = e4)
% 106.06/15.17
% 106.06/15.17 Begin of proof
% 106.06/15.17 |
% 106.06/15.17 | BETA: splitting (32) gives:
% 106.06/15.17 |
% 106.06/15.17 | Case 1:
% 106.06/15.17 | |
% 106.06/15.17 | | (67) all_6_1 = e2
% 106.06/15.17 | |
% 106.06/15.17 | | COMBINE_EQS: (13), (67) imply:
% 106.06/15.17 | | (68) all_4_5 = e2
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (1), (68) imply:
% 106.06/15.17 | | (69) ~ (all_4_8 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | SIMP: (69) implies:
% 106.06/15.17 | | (70) ~ (all_4_8 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (66), (68) imply:
% 106.06/15.17 | | (71) ~ (e4 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | SIMP: (71) implies:
% 106.06/15.17 | | (72) ~ (e4 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (40), (68) imply:
% 106.06/15.17 | | (73) ~ (e3 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | SIMP: (73) implies:
% 106.06/15.17 | | (74) ~ (e3 = e2)
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (43), (68) imply:
% 106.06/15.17 | | (75) ~ (e2 = e1)
% 106.06/15.17 | |
% 106.06/15.17 | | REDUCE: (51), (68) imply:
% 106.06/15.17 | | (76) ~ (e2 = e0)
% 106.06/15.17 | |
% 106.06/15.17 | | BETA: splitting (59) gives:
% 106.06/15.17 | |
% 106.06/15.17 | | Case 1:
% 106.06/15.17 | | |
% 106.06/15.17 | | | (77) (all_9_1 = e0 & op(e4, e3) = e0) | (all_9_3 = e0 & op(e3, e3) =
% 106.06/15.17 | | | e0)
% 106.06/15.17 | | |
% 106.06/15.17 | | | BETA: splitting (77) gives:
% 106.06/15.17 | | |
% 106.06/15.17 | | | Case 1:
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | (78) all_9_1 = e0 & op(e4, e3) = e0
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | REF_CLOSE: (65), (76), (78) are inconsistent by sub-proof #176.
% 106.06/15.17 | | | |
% 106.06/15.17 | | | Case 2:
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | (79) all_9_3 = e0 & op(e3, e3) = e0
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | ALPHA: (79) implies:
% 106.06/15.17 | | | | (80) all_9_3 = e0
% 106.06/15.17 | | | | (81) op(e3, e3) = e0
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | BETA: splitting (11) gives:
% 106.06/15.17 | | | |
% 106.06/15.17 | | | | Case 1:
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | | (82) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3)
% 106.06/15.17 | | | | | = e4)
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | | REF_CLOSE: (10), (27), (80), (82) are inconsistent by sub-proof #168.
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | Case 2:
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | | (83) (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3)
% 106.06/15.17 | | | | | = e4) | (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | | BETA: splitting (83) gives:
% 106.06/15.17 | | | | |
% 106.06/15.17 | | | | | Case 1:
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | | (84) all_9_7 = e4 & op(e2, e3) = e4
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | | REF_CLOSE: (3), (4), (6), (14), (17), (19), (21), (26), (27), (28),
% 106.06/15.17 | | | | | | (33), (34), (36), (42), (45), (46), (47), (49), (55),
% 106.06/15.17 | | | | | | (61), (63), (72), (74), (75), (76), (84) are inconsistent
% 106.06/15.17 | | | | | | by sub-proof #167.
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | Case 2:
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | | (85) (all_9_13 = e4 & op(e1, e3) = e4) | (all_9_21 = e4 & op(e0,
% 106.06/15.17 | | | | | | e3) = e4)
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | | BETA: splitting (85) gives:
% 106.06/15.17 | | | | | |
% 106.06/15.17 | | | | | | Case 1:
% 106.06/15.17 | | | | | | |
% 106.06/15.17 | | | | | | | (86) all_9_13 = e4 & op(e1, e3) = e4
% 106.06/15.17 | | | | | | |
% 106.06/15.17 | | | | | | | ALPHA: (86) implies:
% 106.06/15.17 | | | | | | | (87) all_9_13 = e4
% 106.06/15.17 | | | | | | | (88) op(e1, e3) = e4
% 106.06/15.17 | | | | | | |
% 106.06/15.17 | | | | | | | BETA: splitting (44) gives:
% 106.06/15.17 | | | | | | |
% 106.06/15.17 | | | | | | | Case 1:
% 106.06/15.17 | | | | | | | |
% 106.06/15.17 | | | | | | | | (89) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_7 = e4 &
% 106.06/15.17 | | | | | | | | op(e2, e3) = e4)
% 106.06/15.17 | | | | | | | |
% 106.06/15.17 | | | | | | | | BETA: splitting (89) gives:
% 106.06/15.17 | | | | | | | |
% 106.06/15.17 | | | | | | | | Case 1:
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | | (90) all_9_6 = e4 & op(e2, e4) = e4
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | | ALPHA: (90) implies:
% 106.06/15.17 | | | | | | | | | (91) op(e2, e4) = e4
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | | REF_CLOSE: (5), (53), (91) are inconsistent by sub-proof #205.
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | Case 2:
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | | (92) all_9_7 = e4 & op(e2, e3) = e4
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | | REF_CLOSE: (3), (4), (6), (14), (17), (19), (21), (26), (27),
% 106.06/15.17 | | | | | | | | | (28), (33), (34), (36), (42), (45), (46), (47),
% 106.06/15.17 | | | | | | | | | (49), (55), (61), (63), (72), (74), (75), (76),
% 106.06/15.17 | | | | | | | | | (92) are inconsistent by sub-proof #167.
% 106.06/15.17 | | | | | | | | |
% 106.06/15.17 | | | | | | | | End of split
% 106.06/15.17 | | | | | | | |
% 106.06/15.17 | | | | | | | Case 2:
% 106.06/15.17 | | | | | | | |
% 106.06/15.18 | | | | | | | | (93) (all_9_8 = e4 & op(e2, e2) = e4) | (all_9_11 = e4 &
% 106.06/15.18 | | | | | | | | op(e2, e1) = e4) | (all_9_18 = e4 & op(e2, e0) = e4)
% 106.06/15.18 | | | | | | | |
% 106.06/15.18 | | | | | | | | BETA: splitting (93) gives:
% 106.06/15.18 | | | | | | | |
% 106.06/15.18 | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | (94) all_9_8 = e4 & op(e2, e2) = e4
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | ALPHA: (94) implies:
% 106.06/15.18 | | | | | | | | | (95) all_9_8 = e4
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | COMBINE_EQS: (24), (95) imply:
% 106.06/15.18 | | | | | | | | | (96) e4 = e3
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | COMBINE_EQS: (45), (96) imply:
% 106.06/15.18 | | | | | | | | | (97) all_9_20 = e3
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | REF_CLOSE: (5), (26), (27), (36), (46), (49), (53), (58),
% 106.06/15.18 | | | | | | | | | (61), (72), (97) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | | | #165.
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | (98) (all_9_11 = e4 & op(e2, e1) = e4) | (all_9_18 = e4 &
% 106.06/15.18 | | | | | | | | | op(e2, e0) = e4)
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | BETA: splitting (98) gives:
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | (99) all_9_11 = e4 & op(e2, e1) = e4
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | ALPHA: (99) implies:
% 106.06/15.18 | | | | | | | | | | (100) all_9_11 = e4
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | BETA: splitting (48) gives:
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | (101) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_10 = e0
% 106.06/15.18 | | | | | | | | | | | & op(e3, e1) = e0)
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | BETA: splitting (101) gives:
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | (102) all_9_9 = e0 & op(e4, e1) = e0
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | REF_CLOSE: (6), (14), (21), (23), (26), (28), (30), (33),
% 106.06/15.18 | | | | | | | | | | | | (38), (45), (56), (63), (74), (102) are
% 106.06/15.18 | | | | | | | | | | | | inconsistent by sub-proof #164.
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | (103) all_9_10 = e0 & op(e3, e1) = e0
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | ALPHA: (103) implies:
% 106.06/15.18 | | | | | | | | | | | | (104) all_9_10 = e0
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (12), (14), (15), (16),
% 106.06/15.18 | | | | | | | | | | | | (17), (18), (21), (22), (28), (29), (33), (35),
% 106.06/15.18 | | | | | | | | | | | | (36), (42), (45), (46), (47), (49), (52), (53),
% 106.06/15.18 | | | | | | | | | | | | (55), (57), (58), (60), (61), (63), (70), (74),
% 106.06/15.18 | | | | | | | | | | | | (75), (76), (88), (104) are inconsistent by
% 106.06/15.18 | | | | | | | | | | | | sub-proof #159.
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | (105) (all_9_11 = e0 & op(e2, e1) = e0) | (all_9_15 = e0
% 106.06/15.18 | | | | | | | | | | | & op(e1, e1) = e0) | (all_9_23 = e0 & op(e0, e1)
% 106.06/15.18 | | | | | | | | | | | = e0)
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | BETA: splitting (105) gives:
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | (106) all_9_11 = e0 & op(e2, e1) = e0
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | ALPHA: (106) implies:
% 106.06/15.18 | | | | | | | | | | | | (107) all_9_11 = e0
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | REF_CLOSE: (27), (100), (107) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | | | | | | #158.
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | (108) (all_9_15 = e0 & op(e1, e1) = e0) | (all_9_23 = e0
% 106.06/15.18 | | | | | | | | | | | | & op(e0, e1) = e0)
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | BETA: splitting (108) gives:
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | (109) all_9_15 = e0 & op(e1, e1) = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | ALPHA: (109) implies:
% 106.06/15.18 | | | | | | | | | | | | | (110) all_9_15 = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | COMBINE_EQS: (20), (110) imply:
% 106.06/15.18 | | | | | | | | | | | | | (111) e2 = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | SIMP: (111) implies:
% 106.06/15.18 | | | | | | | | | | | | | (112) e2 = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | COMBINE_EQS: (31), (112) imply:
% 106.06/15.18 | | | | | | | | | | | | | (113) all_9_18 = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | BETA: splitting (9) gives:
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | (114) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_7 = e2 &
% 106.06/15.18 | | | | | | | | | | | | | | op(e2, e3) = e2)
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | BETA: splitting (114) gives:
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | (115) all_9_6 = e2 & op(e2, e4) = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | REF_CLOSE: (4), (47), (115) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | | | | | | | | | #210.
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | (116) all_9_7 = e2 & op(e2, e3) = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | ALPHA: (116) implies:
% 106.06/15.18 | | | | | | | | | | | | | | | (117) all_9_7 = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | COMBINE_EQS: (34), (117) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | (118) e2 = e1
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | SIMP: (118) implies:
% 106.06/15.18 | | | | | | | | | | | | | | | (119) e2 = e1
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | COMBINE_EQS: (62), (119) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | (120) all_9_2 = e1
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | REF_CLOSE: (3), (4), (6), (14), (17), (19), (21), (26), (27),
% 106.06/15.18 | | | | | | | | | | | | | | | (28), (33), (36), (42), (46), (47), (49), (61),
% 106.06/15.18 | | | | | | | | | | | | | | | (63), (72), (74), (75), (76), (120) are
% 106.06/15.18 | | | | | | | | | | | | | | | inconsistent by sub-proof #181.
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | (121) (all_9_8 = e2 & op(e2, e2) = e2) | (all_9_11 = e2
% 106.06/15.18 | | | | | | | | | | | | | | & op(e2, e1) = e2) | (all_9_18 = e2 & op(e2, e0)
% 106.06/15.18 | | | | | | | | | | | | | | = e2)
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | BETA: splitting (121) gives:
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | (122) all_9_8 = e2 & op(e2, e2) = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | ALPHA: (122) implies:
% 106.06/15.18 | | | | | | | | | | | | | | | (123) all_9_8 = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | COMBINE_EQS: (24), (123) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | (124) e3 = e2
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | REDUCE: (74), (124) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | (125) $false
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | (126) (all_9_11 = e2 & op(e2, e1) = e2) | (all_9_18 = e2
% 106.06/15.18 | | | | | | | | | | | | | | | & op(e2, e0) = e2)
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | BETA: splitting (126) gives:
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | Case 1:
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | (127) all_9_11 = e2 & op(e2, e1) = e2
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | ALPHA: (127) implies:
% 106.06/15.18 | | | | | | | | | | | | | | | | (128) all_9_11 = e2
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (100), (128) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | | (129) e4 = e2
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (45), (129) imply:
% 106.06/15.18 | | | | | | | | | | | | | | | | (130) all_9_20 = e2
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (14), (17), (19), (21), (26), (27),
% 106.06/15.18 | | | | | | | | | | | | | | | | (28), (30), (33), (36), (38), (46), (49), (61),
% 106.06/15.18 | | | | | | | | | | | | | | | | (63), (72), (74), (130) are inconsistent by
% 106.06/15.18 | | | | | | | | | | | | | | | | sub-proof #156.
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | (131) all_9_18 = e2 & op(e2, e0) = e2
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | | REF_CLOSE: (76), (113), (131) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | | | | | | | | | | #155.
% 106.06/15.18 | | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | (132) all_9_23 = e0 & op(e0, e1) = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | ALPHA: (132) implies:
% 106.06/15.18 | | | | | | | | | | | | | (133) op(e0, e1) = e0
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | | REF_CLOSE: (41), (50), (133) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | | | | | | | #154.
% 106.06/15.18 | | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | Case 2:
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | (134) all_9_18 = e4 & op(e2, e0) = e4
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | ALPHA: (134) implies:
% 106.06/15.18 | | | | | | | | | | (135) all_9_18 = e4
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | COMBINE_EQS: (31), (135) imply:
% 106.06/15.18 | | | | | | | | | | (136) e4 = e2
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | SIMP: (136) implies:
% 106.06/15.18 | | | | | | | | | | (137) e4 = e2
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (11), (14), (17),
% 106.06/15.18 | | | | | | | | | | (19), (21), (26), (27), (28), (30), (33), (36),
% 106.06/15.18 | | | | | | | | | | (38), (39), (42), (45), (46), (47), (49), (54),
% 106.06/15.18 | | | | | | | | | | (55), (56), (61), (62), (63), (64), (65), (72),
% 106.06/15.18 | | | | | | | | | | (74), (75), (76), (80), (81), (87), (137) are
% 106.06/15.18 | | | | | | | | | | inconsistent by sub-proof #150.
% 106.06/15.18 | | | | | | | | | |
% 106.06/15.18 | | | | | | | | | End of split
% 106.06/15.18 | | | | | | | | |
% 106.06/15.18 | | | | | | | | End of split
% 106.06/15.18 | | | | | | | |
% 106.06/15.18 | | | | | | | End of split
% 106.06/15.18 | | | | | | |
% 106.06/15.18 | | | | | | Case 2:
% 106.06/15.18 | | | | | | |
% 106.06/15.18 | | | | | | | (138) all_9_21 = e4 & op(e0, e3) = e4
% 106.06/15.18 | | | | | | |
% 106.06/15.18 | | | | | | | ALPHA: (138) implies:
% 106.06/15.18 | | | | | | | (139) op(e0, e3) = e4
% 106.06/15.18 | | | | | | |
% 106.06/15.18 | | | | | | | REF_CLOSE: (7), (28), (64), (139) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | | #151.
% 106.06/15.18 | | | | | | |
% 106.06/15.18 | | | | | | End of split
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | End of split
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | End of split
% 106.06/15.18 | | | |
% 106.06/15.18 | | | End of split
% 106.06/15.18 | | |
% 106.06/15.18 | | Case 2:
% 106.06/15.18 | | |
% 106.06/15.18 | | | (140) (all_9_7 = e0 & op(e2, e3) = e0) | (all_9_13 = e0 & op(e1, e3) =
% 106.06/15.18 | | | e0) | (all_9_21 = e0 & op(e0, e3) = e0)
% 106.06/15.18 | | |
% 106.06/15.18 | | | BETA: splitting (140) gives:
% 106.06/15.18 | | |
% 106.06/15.18 | | | Case 1:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (141) all_9_7 = e0 & op(e2, e3) = e0
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | ALPHA: (141) implies:
% 106.06/15.18 | | | | (142) all_9_7 = e0
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | COMBINE_EQS: (34), (142) imply:
% 106.06/15.18 | | | | (143) e1 = e0
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | REDUCE: (8), (143) imply:
% 106.06/15.18 | | | | (144) $false
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | CLOSE: (144) is inconsistent.
% 106.06/15.18 | | | |
% 106.06/15.18 | | | Case 2:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (145) (all_9_13 = e0 & op(e1, e3) = e0) | (all_9_21 = e0 & op(e0, e3)
% 106.06/15.18 | | | | = e0)
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | BETA: splitting (145) gives:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | Case 1:
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | (146) all_9_13 = e0 & op(e1, e3) = e0
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | ALPHA: (146) implies:
% 106.06/15.18 | | | | | (147) op(e1, e3) = e0
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | GROUND_INST: instantiating (28) with all_4_8, e0, e3, e1, simplifying
% 106.06/15.18 | | | | | with (15), (147) gives:
% 106.06/15.18 | | | | | (148) all_4_8 = e0
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | REDUCE: (16), (148) imply:
% 106.06/15.18 | | | | | (149) $false
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | CLOSE: (149) is inconsistent.
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | Case 2:
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | (150) all_9_21 = e0 & op(e0, e3) = e0
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | REF_CLOSE: (6), (14), (21), (25), (26), (28), (30), (33), (37), (38),
% 106.06/15.18 | | | | | (45), (56), (63), (74), (150) are inconsistent by sub-proof
% 106.06/15.18 | | | | | #149.
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | End of split
% 106.06/15.18 | | | |
% 106.06/15.18 | | | End of split
% 106.06/15.18 | | |
% 106.06/15.18 | | End of split
% 106.06/15.18 | |
% 106.06/15.18 | Case 2:
% 106.06/15.18 | |
% 106.06/15.18 | | (151) all_6_1 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | COMBINE_EQS: (13), (151) imply:
% 106.06/15.18 | | (152) all_4_5 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | REDUCE: (51), (152) imply:
% 106.06/15.18 | | (153) $false
% 106.06/15.18 | |
% 106.06/15.18 | | CLOSE: (153) is inconsistent.
% 106.06/15.18 | |
% 106.06/15.18 | End of split
% 106.06/15.18 |
% 106.06/15.18 End of proof
% 106.06/15.18
% 106.06/15.18 Sub-proof #149 shows that the following formulas are inconsistent:
% 106.06/15.18 ----------------------------------------------------------------
% 106.06/15.18 (1) all_9_12 = e0
% 106.06/15.18 (2) op(e4, e4) = e1
% 106.06/15.18 (3) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.18 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.18 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.18 (4) all_6_21 = e3
% 106.06/15.18 (5) ~ (e4 = e3)
% 106.06/15.18 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.18 (7) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.18 (8) ~ (e3 = e1)
% 106.06/15.18 (9) all_9_21 = e0 & op(e0, e3) = e0
% 106.06/15.18 (10) ~ (e3 = e2)
% 106.06/15.18 (11) all_6_21 = e0 | ~ (op(e0, e3) = e0)
% 106.06/15.18 (12) all_6_5 = e2
% 106.06/15.18 (13) all_9_20 = e4
% 106.06/15.18 (14) all_9_6 = e3
% 106.06/15.18 (15) ~ (e3 = e0)
% 106.06/15.18
% 106.06/15.18 Begin of proof
% 106.06/15.18 |
% 106.06/15.18 | ALPHA: (9) implies:
% 106.06/15.18 | (16) op(e0, e3) = e0
% 106.06/15.18 |
% 106.06/15.18 | BETA: splitting (11) gives:
% 106.06/15.18 |
% 106.06/15.18 | Case 1:
% 106.06/15.18 | |
% 106.06/15.18 | | (17) ~ (op(e0, e3) = e0)
% 106.06/15.18 | |
% 106.06/15.18 | | PRED_UNIFY: (16), (17) imply:
% 106.06/15.18 | | (18) $false
% 106.06/15.18 | |
% 106.06/15.18 | | CLOSE: (18) is inconsistent.
% 106.06/15.18 | |
% 106.06/15.18 | Case 2:
% 106.06/15.18 | |
% 106.06/15.18 | | (19) all_6_21 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | COMBINE_EQS: (4), (19) imply:
% 106.06/15.18 | | (20) e3 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | SIMP: (20) implies:
% 106.06/15.18 | | (21) e3 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | COMBINE_EQS: (14), (21) imply:
% 106.06/15.18 | | (22) all_9_6 = e0
% 106.06/15.18 | |
% 106.06/15.18 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (12), (13), (15), (22)
% 106.06/15.18 | | are inconsistent by sub-proof #172.
% 106.06/15.18 | |
% 106.06/15.18 | End of split
% 106.06/15.18 |
% 106.06/15.18 End of proof
% 106.06/15.18
% 106.06/15.18 Sub-proof #150 shows that the following formulas are inconsistent:
% 106.06/15.18 ----------------------------------------------------------------
% 106.06/15.18 (1) all_6_0 = e1
% 106.06/15.18 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.18 (3) all_9_12 = e0
% 106.06/15.18 (4) ~ (all_4_9 = e4)
% 106.06/15.18 (5) ~ (e1 = e0)
% 106.06/15.18 (6) ~ (op(e4, e3) = e4)
% 106.06/15.18 (7) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.18 (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4) |
% 106.06/15.18 (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.18 (8) op(e4, e4) = e1
% 106.06/15.18 (9) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.18 (10) ~ (e4 = e1)
% 106.06/15.18 (11) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.18 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.18 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.18 (12) ~ (e4 = e3)
% 106.06/15.18 (13) ~ (e4 = e0)
% 106.06/15.18 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.18 (15) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.18 (16) ~ (e2 = e0)
% 106.06/15.18 (17) ~ (e3 = e1)
% 106.06/15.18 (18) ~ (e3 = e2)
% 106.06/15.18 (19) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.18 (20) ~ (e2 = e1)
% 106.06/15.18 (21) op(e3, e3) = e0
% 106.06/15.18 (22) all_6_5 = e2
% 106.06/15.18 (23) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1) |
% 106.06/15.18 (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) = e1) |
% 106.06/15.18 (all_9_21 = e1 & op(e0, e3) = e1)
% 106.06/15.18 (24) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.18 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.18 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.18 (25) all_9_20 = e4
% 106.06/15.18 (26) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.18 (27) ~ (all_4_2 = e2)
% 106.06/15.18 (28) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.18 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.18 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.18 (29) all_9_21 = e3
% 106.06/15.18 (30) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.18 (31) all_9_6 = e3
% 106.06/15.18 (32) all_4_1 = e2
% 106.06/15.18 (33) all_9_2 = e2
% 106.06/15.18 (34) all_9_3 = e0
% 106.06/15.18 (35) ~ (e3 = e0)
% 106.06/15.18 (36) op(e0, e3) = all_4_9
% 106.06/15.18 (37) all_9_13 = e4
% 106.06/15.18 (38) ~ (e4 = e2)
% 106.06/15.18 (39) e4 = e2
% 106.06/15.18 (40) all_9_1 = e2
% 106.06/15.18
% 106.06/15.18 Begin of proof
% 106.06/15.18 |
% 106.06/15.18 | COMBINE_EQS: (37), (39) imply:
% 106.06/15.18 | (41) all_9_13 = e2
% 106.06/15.18 |
% 106.06/15.18 | BETA: splitting (7) gives:
% 106.06/15.18 |
% 106.06/15.18 | Case 1:
% 106.06/15.18 | |
% 106.06/15.18 | | (42) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4)
% 106.06/15.18 | |
% 106.06/15.18 | | REF_CLOSE: (6), (13), (34), (42) are inconsistent by sub-proof #168.
% 106.06/15.18 | |
% 106.06/15.18 | Case 2:
% 106.06/15.18 | |
% 106.06/15.18 | | (43) (all_9_7 = e4 & op(e2, e3) = e4) | (all_9_13 = e4 & op(e1, e3) = e4)
% 106.06/15.18 | | | (all_9_21 = e4 & op(e0, e3) = e4)
% 106.06/15.18 | |
% 106.06/15.18 | | BETA: splitting (43) gives:
% 106.06/15.18 | |
% 106.06/15.18 | | Case 1:
% 106.06/15.18 | | |
% 106.06/15.18 | | | (44) all_9_7 = e4 & op(e2, e3) = e4
% 106.06/15.18 | | |
% 106.06/15.18 | | | ALPHA: (44) implies:
% 106.06/15.18 | | | (45) all_9_7 = e4
% 106.06/15.18 | | |
% 106.06/15.18 | | | BETA: splitting (23) gives:
% 106.06/15.18 | | |
% 106.06/15.18 | | | Case 1:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (46) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) =
% 106.06/15.18 | | | | e1)
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | REF_CLOSE: (1), (2), (3), (5), (8), (9), (10), (11), (12), (13), (14),
% 106.06/15.18 | | | | (16), (17), (18), (19), (20), (21), (24), (26), (27), (28),
% 106.06/15.18 | | | | (32), (33), (35), (38), (40), (46) are inconsistent by
% 106.06/15.18 | | | | sub-proof #152.
% 106.06/15.18 | | | |
% 106.06/15.18 | | | Case 2:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (47) (all_9_7 = e1 & op(e2, e3) = e1) | (all_9_13 = e1 & op(e1, e3) =
% 106.06/15.18 | | | | e1) | (all_9_21 = e1 & op(e0, e3) = e1)
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | BETA: splitting (47) gives:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | Case 1:
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | (48) all_9_7 = e1 & op(e2, e3) = e1
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | ALPHA: (48) implies:
% 106.06/15.18 | | | | | (49) all_9_7 = e1
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | COMBINE_EQS: (45), (49) imply:
% 106.06/15.18 | | | | | (50) e4 = e1
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | COMBINE_EQS: (25), (50) imply:
% 106.06/15.18 | | | | | (51) all_9_20 = e1
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (11), (12), (13), (14),
% 106.06/15.18 | | | | | (16), (17), (18), (19), (20), (24), (26), (27), (28), (30),
% 106.06/15.18 | | | | | (32), (35), (38), (51) are inconsistent by sub-proof #188.
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | Case 2:
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | (52) (all_9_13 = e1 & op(e1, e3) = e1) | (all_9_21 = e1 & op(e0,
% 106.06/15.18 | | | | | e3) = e1)
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | BETA: splitting (52) gives:
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | | Case 1:
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | (53) all_9_13 = e1 & op(e1, e3) = e1
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | ALPHA: (53) implies:
% 106.06/15.18 | | | | | | (54) all_9_13 = e1
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | COMBINE_EQS: (41), (54) imply:
% 106.06/15.18 | | | | | | (55) e2 = e1
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | COMBINE_EQS: (33), (55) imply:
% 106.06/15.18 | | | | | | (56) all_9_2 = e1
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | REF_CLOSE: (1), (2), (3), (8), (9), (10), (11), (12), (13), (14),
% 106.06/15.18 | | | | | | (16), (17), (18), (19), (20), (24), (26), (27), (28),
% 106.06/15.18 | | | | | | (32), (35), (38), (56) are inconsistent by sub-proof
% 106.06/15.18 | | | | | | #181.
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | Case 2:
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | (57) all_9_21 = e1 & op(e0, e3) = e1
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | | REF_CLOSE: (2), (3), (8), (11), (12), (14), (16), (17), (18), (20),
% 106.06/15.18 | | | | | | (24), (25), (27), (29), (31), (35), (38), (57) are
% 106.06/15.18 | | | | | | inconsistent by sub-proof #184.
% 106.06/15.18 | | | | | |
% 106.06/15.18 | | | | | End of split
% 106.06/15.18 | | | | |
% 106.06/15.18 | | | | End of split
% 106.06/15.18 | | | |
% 106.06/15.18 | | | End of split
% 106.06/15.18 | | |
% 106.06/15.18 | | Case 2:
% 106.06/15.18 | | |
% 106.06/15.18 | | | (58) (all_9_13 = e4 & op(e1, e3) = e4) | (all_9_21 = e4 & op(e0, e3) =
% 106.06/15.18 | | | e4)
% 106.06/15.18 | | |
% 106.06/15.18 | | | BETA: splitting (58) gives:
% 106.06/15.18 | | |
% 106.06/15.18 | | | Case 1:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (59) all_9_13 = e4 & op(e1, e3) = e4
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | COMBINE_EQS: (37), (41) imply:
% 106.06/15.18 | | | | (60) e4 = e2
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | COMBINE_EQS: (25), (39) imply:
% 106.06/15.18 | | | | (61) all_9_20 = e2
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | REF_CLOSE: (1), (3), (8), (9), (10), (11), (12), (13), (14), (15), (17),
% 106.06/15.18 | | | | (18), (19), (22), (26), (28), (32), (35), (38), (61) are
% 106.06/15.18 | | | | inconsistent by sub-proof #156.
% 106.06/15.18 | | | |
% 106.06/15.18 | | | Case 2:
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | (62) all_9_21 = e4 & op(e0, e3) = e4
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | ALPHA: (62) implies:
% 106.06/15.18 | | | | (63) op(e0, e3) = e4
% 106.06/15.18 | | | |
% 106.06/15.18 | | | | REF_CLOSE: (4), (14), (36), (63) are inconsistent by sub-proof #151.
% 106.06/15.18 | | | |
% 106.06/15.18 | | | End of split
% 106.06/15.18 | | |
% 106.06/15.18 | | End of split
% 106.06/15.18 | |
% 106.06/15.18 | End of split
% 106.06/15.18 |
% 106.06/15.18 End of proof
% 106.06/15.18
% 106.06/15.18 Sub-proof #151 shows that the following formulas are inconsistent:
% 106.06/15.18 ----------------------------------------------------------------
% 106.06/15.18 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.18 (2) op(e0, e3) = all_4_9
% 106.06/15.18 (3) op(e0, e3) = e4
% 106.06/15.18 (4) ~ (all_4_9 = e4)
% 106.06/15.18
% 106.06/15.18 Begin of proof
% 106.06/15.18 |
% 106.06/15.18 | GROUND_INST: instantiating (1) with all_4_9, e4, e3, e0, simplifying with (2),
% 106.06/15.18 | (3) gives:
% 106.06/15.18 | (5) all_4_9 = e4
% 106.06/15.18 |
% 106.06/15.18 | REDUCE: (4), (5) imply:
% 106.06/15.18 | (6) $false
% 106.06/15.18 |
% 106.06/15.18 | CLOSE: (6) is inconsistent.
% 106.06/15.18 |
% 106.06/15.18 End of proof
% 106.06/15.18
% 106.06/15.18 Sub-proof #152 shows that the following formulas are inconsistent:
% 106.06/15.18 ----------------------------------------------------------------
% 106.06/15.18 (1) all_6_0 = e1
% 106.06/15.18 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.18 (3) all_9_12 = e0
% 106.06/15.18 (4) ~ (e1 = e0)
% 106.06/15.18 (5) op(e4, e4) = e1
% 106.06/15.18 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.18 (7) ~ (e4 = e1)
% 106.06/15.18 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.18 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.18 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.18 (9) ~ (e4 = e3)
% 106.06/15.18 (10) ~ (e4 = e0)
% 106.06/15.18 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.18 (12) ~ (e2 = e0)
% 106.06/15.18 (13) ~ (e3 = e1)
% 106.06/15.18 (14) ~ (e3 = e2)
% 106.06/15.18 (15) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.18 (16) ~ (e2 = e1)
% 106.06/15.18 (17) op(e3, e3) = e0
% 106.06/15.18 (18) (all_9_1 = e1 & op(e4, e3) = e1) | (all_9_3 = e1 & op(e3, e3) = e1)
% 106.06/15.18 (19) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.18 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.18 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.18 (20) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.18 (21) ~ (all_4_2 = e2)
% 106.06/15.18 (22) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.18 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.18 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.18 (23) all_4_1 = e2
% 106.06/15.19 (24) all_9_2 = e2
% 106.06/15.19 (25) ~ (e3 = e0)
% 106.06/15.19 (26) ~ (e4 = e2)
% 106.06/15.19 (27) all_9_1 = e2
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (18) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (28) all_9_1 = e1 & op(e4, e3) = e1
% 106.06/15.19 | |
% 106.06/15.19 | | ALPHA: (28) implies:
% 106.06/15.19 | | (29) all_9_1 = e1
% 106.06/15.19 | |
% 106.06/15.19 | | COMBINE_EQS: (27), (29) imply:
% 106.06/15.19 | | (30) e2 = e1
% 106.06/15.19 | |
% 106.06/15.19 | | COMBINE_EQS: (24), (30) imply:
% 106.06/15.19 | | (31) all_9_2 = e1
% 106.06/15.19 | |
% 106.06/15.19 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 106.06/15.19 | | (14), (15), (16), (19), (20), (21), (22), (23), (25), (26), (31)
% 106.06/15.19 | | are inconsistent by sub-proof #181.
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (32) all_9_3 = e1 & op(e3, e3) = e1
% 106.06/15.19 | |
% 106.06/15.19 | | ALPHA: (32) implies:
% 106.06/15.19 | | (33) op(e3, e3) = e1
% 106.06/15.19 | |
% 106.06/15.19 | | REF_CLOSE: (4), (11), (17), (33) are inconsistent by sub-proof #153.
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #153 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (2) op(e3, e3) = e1
% 106.06/15.19 (3) op(e3, e3) = e0
% 106.06/15.19 (4) ~ (e1 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | GROUND_INST: instantiating (1) with e0, e1, e3, e3, simplifying with (2), (3)
% 106.06/15.19 | gives:
% 106.06/15.19 | (5) e1 = e0
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (4), (5) imply:
% 106.06/15.19 | (6) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (6) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #154 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_4_19 = e0 | ~ (op(e0, e1) = e0)
% 106.06/15.19 (2) op(e0, e1) = e0
% 106.06/15.19 (3) ~ (all_4_19 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (1) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (4) ~ (op(e0, e1) = e0)
% 106.06/15.19 | |
% 106.06/15.19 | | PRED_UNIFY: (2), (4) imply:
% 106.06/15.19 | | (5) $false
% 106.06/15.19 | |
% 106.06/15.19 | | CLOSE: (5) is inconsistent.
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (6) all_4_19 = e0
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (3), (6) imply:
% 106.06/15.19 | | (7) $false
% 106.06/15.19 | |
% 106.06/15.19 | | CLOSE: (7) is inconsistent.
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #155 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_9_18 = e2 & op(e2, e0) = e2
% 106.06/15.19 (2) all_9_18 = e0
% 106.06/15.19 (3) ~ (e2 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | ALPHA: (1) implies:
% 106.06/15.19 | (4) all_9_18 = e2
% 106.06/15.19 |
% 106.06/15.19 | COMBINE_EQS: (2), (4) imply:
% 106.06/15.19 | (5) e2 = e0
% 106.06/15.19 |
% 106.06/15.19 | SIMP: (5) implies:
% 106.06/15.19 | (6) e2 = e0
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (3), (6) imply:
% 106.06/15.19 | (7) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (7) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #156 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_6_0 = e1
% 106.06/15.19 (2) all_9_12 = e0
% 106.06/15.19 (3) op(e4, e4) = e1
% 106.06/15.19 (4) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.19 (5) ~ (e4 = e1)
% 106.06/15.19 (6) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.19 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.19 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 (7) ~ (e4 = e3)
% 106.06/15.19 (8) ~ (e4 = e0)
% 106.06/15.19 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (10) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.19 (11) ~ (e3 = e1)
% 106.06/15.19 (12) ~ (e3 = e2)
% 106.06/15.19 (13) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.19 (14) all_6_5 = e2
% 106.06/15.19 (15) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.19 (16) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.19 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.19 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.19 (17) all_9_20 = e2
% 106.06/15.19 (18) all_4_1 = e2
% 106.06/15.19 (19) ~ (e3 = e0)
% 106.06/15.19 (20) ~ (e4 = e2)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (16) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (21) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | REF_CLOSE: (1), (4), (5), (15), (18), (20), (21) are inconsistent by
% 106.06/15.19 | | sub-proof #219.
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (22) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 106.06/15.19 | | | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | BETA: splitting (22) gives:
% 106.06/15.19 | |
% 106.06/15.19 | | Case 1:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (23) all_9_6 = e4 & op(e2, e4) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (23) implies:
% 106.06/15.19 | | | (24) all_9_6 = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (2), (3), (6), (7), (9), (10), (11), (12), (14), (17), (19),
% 106.06/15.19 | | | (24) are inconsistent by sub-proof #157.
% 106.06/15.19 | | |
% 106.06/15.19 | | Case 2:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (25) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 106.06/15.19 | | | e4)
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (8), (13), (17), (20), (25) are inconsistent by sub-proof #182.
% 106.06/15.19 | | |
% 106.06/15.19 | | End of split
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #157 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_9_12 = e0
% 106.06/15.19 (2) op(e4, e4) = e1
% 106.06/15.19 (3) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.19 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.19 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 (4) ~ (e4 = e3)
% 106.06/15.19 (5) all_9_6 = e4
% 106.06/15.19 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (7) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.19 (8) ~ (e3 = e1)
% 106.06/15.19 (9) ~ (e3 = e2)
% 106.06/15.19 (10) all_6_5 = e2
% 106.06/15.19 (11) all_9_20 = e2
% 106.06/15.19 (12) ~ (e3 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (3) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (13) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3)
% 106.06/15.19 | |
% 106.06/15.19 | | BETA: splitting (13) gives:
% 106.06/15.19 | |
% 106.06/15.19 | | Case 1:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (14) all_9_0 = e3 & op(e4, e4) = e3
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (14) implies:
% 106.06/15.19 | | | (15) op(e4, e4) = e3
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (2), (6), (8), (15) are inconsistent by sub-proof #216.
% 106.06/15.19 | | |
% 106.06/15.19 | | Case 2:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (16) all_9_2 = e3 & op(e3, e4) = e3
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (16) implies:
% 106.06/15.19 | | | (17) op(e3, e4) = e3
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (7), (9), (10), (17) are inconsistent by sub-proof #215.
% 106.06/15.19 | | |
% 106.06/15.19 | | End of split
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (18) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3)
% 106.06/15.19 | | | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 | |
% 106.06/15.19 | | BETA: splitting (18) gives:
% 106.06/15.19 | |
% 106.06/15.19 | | Case 1:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (19) all_9_6 = e3 & op(e2, e4) = e3
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (4), (5), (19) are inconsistent by sub-proof #197.
% 106.06/15.19 | | |
% 106.06/15.19 | | Case 2:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (20) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) =
% 106.06/15.19 | | | e3)
% 106.06/15.19 | | |
% 106.06/15.19 | | | BETA: splitting (20) gives:
% 106.06/15.19 | | |
% 106.06/15.19 | | | Case 1:
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | (21) all_9_12 = e3 & op(e1, e4) = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | REF_CLOSE: (1), (12), (21) are inconsistent by sub-proof #194.
% 106.06/15.19 | | | |
% 106.06/15.19 | | | Case 2:
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | (22) all_9_20 = e3 & op(e0, e4) = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | ALPHA: (22) implies:
% 106.06/15.19 | | | | (23) all_9_20 = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | COMBINE_EQS: (11), (23) imply:
% 106.06/15.19 | | | | (24) e3 = e2
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | REDUCE: (9), (24) imply:
% 106.06/15.19 | | | | (25) $false
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | CLOSE: (25) is inconsistent.
% 106.06/15.19 | | | |
% 106.06/15.19 | | | End of split
% 106.06/15.19 | | |
% 106.06/15.19 | | End of split
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #158 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_9_11 = e4
% 106.06/15.19 (2) all_9_11 = e0
% 106.06/15.19 (3) ~ (e4 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.19 | (4) e4 = e0
% 106.06/15.19 |
% 106.06/15.19 | SIMP: (4) implies:
% 106.06/15.19 | (5) e4 = e0
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (3), (5) imply:
% 106.06/15.19 | (6) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (6) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #159 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) ~ (all_4_8 = e3)
% 106.06/15.19 (2) all_6_0 = e1
% 106.06/15.19 (3) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.19 (4) ~ (all_4_2 = e4)
% 106.06/15.19 (5) all_9_12 = e0
% 106.06/15.19 (6) ~ (all_4_8 = e2)
% 106.06/15.19 (7) op(e1, e3) = e4
% 106.06/15.19 (8) ~ (all_4_6 = all_4_8)
% 106.06/15.19 (9) op(e4, e4) = e1
% 106.06/15.19 (10) op(e1, e3) = all_4_8
% 106.06/15.19 (11) ~ (all_4_8 = e0)
% 106.06/15.19 (12) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.19 (13) all_6_16 = all_4_8
% 106.06/15.19 (14) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.19 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.19 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 (15) op(e3, e3) = all_4_6
% 106.06/15.19 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (17) all_9_17 = e3
% 106.06/15.19 (18) ~ (e2 = e0)
% 106.06/15.19 (19) ~ (e3 = e1)
% 106.06/15.19 (20) all_9_5 = e1
% 106.06/15.19 (21) ~ (e3 = e2)
% 106.06/15.19 (22) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.19 (23) ~ (e2 = e1)
% 106.06/15.19 (24) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.19 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.19 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.19 (25) all_9_20 = e4
% 106.06/15.19 (26) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.19 (27) ~ (all_4_2 = e2)
% 106.06/15.19 (28) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.19 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.19 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.19 (29) ~ (all_4_8 = e1)
% 106.06/15.19 (30) all_9_10 = e0
% 106.06/15.19 (31) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.19 (32) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.19 (33) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.19 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.19 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.19 (34) ~ (op(e4, e4) = e4)
% 106.06/15.19 (35) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16
% 106.06/15.19 = e0
% 106.06/15.19 (36) all_4_1 = e2
% 106.06/15.19 (37) ~ (e3 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (35) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (38) all_6_16 = e4
% 106.06/15.19 | |
% 106.06/15.19 | | COMBINE_EQS: (13), (38) imply:
% 106.06/15.19 | | (39) all_4_8 = e4
% 106.06/15.19 | |
% 106.06/15.19 | | SIMP: (39) implies:
% 106.06/15.19 | | (40) all_4_8 = e4
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (8), (40) imply:
% 106.06/15.19 | | (41) ~ (all_4_6 = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (1), (40) imply:
% 106.06/15.19 | | (42) ~ (e4 = e3)
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (6), (40) imply:
% 106.06/15.19 | | (43) ~ (e4 = e2)
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (29), (40) imply:
% 106.06/15.19 | | (44) ~ (e4 = e1)
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (11), (40) imply:
% 106.06/15.19 | | (45) ~ (e4 = e0)
% 106.06/15.19 | |
% 106.06/15.19 | | REF_CLOSE: (2), (3), (4), (5), (9), (12), (14), (15), (16), (17), (18),
% 106.06/15.19 | | (19), (20), (21), (22), (23), (24), (25), (26), (27), (28), (30),
% 106.06/15.19 | | (31), (32), (33), (34), (36), (37), (41), (42), (43), (44), (45)
% 106.06/15.19 | | are inconsistent by sub-proof #161.
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (46) ~ (all_6_16 = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | REDUCE: (13), (46) imply:
% 106.06/15.19 | | (47) ~ (all_4_8 = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | REF_CLOSE: (7), (10), (16), (47) are inconsistent by sub-proof #160.
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #160 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (2) op(e1, e3) = all_4_8
% 106.06/15.19 (3) op(e1, e3) = e4
% 106.06/15.19 (4) ~ (all_4_8 = e4)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | GROUND_INST: instantiating (1) with all_4_8, e4, e3, e1, simplifying with (2),
% 106.06/15.19 | (3) gives:
% 106.06/15.19 | (5) all_4_8 = e4
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (4), (5) imply:
% 106.06/15.19 | (6) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (6) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #161 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_6_0 = e1
% 106.06/15.19 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.19 (3) ~ (all_4_2 = e4)
% 106.06/15.19 (4) all_9_12 = e0
% 106.06/15.19 (5) op(e4, e4) = e1
% 106.06/15.19 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.19 (7) ~ (e4 = e1)
% 106.06/15.19 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.19 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.19 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 (9) op(e3, e3) = all_4_6
% 106.06/15.19 (10) ~ (e4 = e3)
% 106.06/15.19 (11) ~ (e4 = e0)
% 106.06/15.19 (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (13) all_9_17 = e3
% 106.06/15.19 (14) ~ (e2 = e0)
% 106.06/15.19 (15) ~ (e3 = e1)
% 106.06/15.19 (16) all_9_5 = e1
% 106.06/15.19 (17) ~ (all_4_6 = e4)
% 106.06/15.19 (18) ~ (e3 = e2)
% 106.06/15.19 (19) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.19 (20) ~ (e2 = e1)
% 106.06/15.19 (21) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.19 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.19 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.19 (22) all_9_20 = e4
% 106.06/15.19 (23) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.19 (24) ~ (all_4_2 = e2)
% 106.06/15.19 (25) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.19 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.19 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.19 (26) all_9_10 = e0
% 106.06/15.19 (27) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.19 (28) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.19 (29) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4) |
% 106.06/15.19 (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4) |
% 106.06/15.19 (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.19 (30) ~ (op(e4, e4) = e4)
% 106.06/15.19 (31) all_4_1 = e2
% 106.06/15.19 (32) ~ (e3 = e0)
% 106.06/15.19 (33) ~ (e4 = e2)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | BETA: splitting (29) gives:
% 106.06/15.19 |
% 106.06/15.19 | Case 1:
% 106.06/15.19 | |
% 106.06/15.19 | | (34) (all_9_2 = e4 & op(e3, e4) = e4) | (all_9_3 = e4 & op(e3, e3) = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | BETA: splitting (34) gives:
% 106.06/15.19 | |
% 106.06/15.19 | | Case 1:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (35) all_9_2 = e4 & op(e3, e4) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (35) implies:
% 106.06/15.19 | | | (36) op(e3, e4) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (23), (31), (33), (36) are inconsistent by sub-proof #220.
% 106.06/15.19 | | |
% 106.06/15.19 | | Case 2:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (37) all_9_3 = e4 & op(e3, e3) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (37) implies:
% 106.06/15.19 | | | (38) op(e3, e3) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (9), (12), (17), (38) are inconsistent by sub-proof #163.
% 106.06/15.19 | | |
% 106.06/15.19 | | End of split
% 106.06/15.19 | |
% 106.06/15.19 | Case 2:
% 106.06/15.19 | |
% 106.06/15.19 | | (39) (all_9_5 = e4 & op(e3, e2) = e4) | (all_9_10 = e4 & op(e3, e1) = e4)
% 106.06/15.19 | | | (all_9_17 = e4 & op(e3, e0) = e4)
% 106.06/15.19 | |
% 106.06/15.19 | | BETA: splitting (39) gives:
% 106.06/15.19 | |
% 106.06/15.19 | | Case 1:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (40) all_9_5 = e4 & op(e3, e2) = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | ALPHA: (40) implies:
% 106.06/15.19 | | | (41) all_9_5 = e4
% 106.06/15.19 | | |
% 106.06/15.19 | | | COMBINE_EQS: (16), (41) imply:
% 106.06/15.19 | | | (42) e4 = e1
% 106.06/15.19 | | |
% 106.06/15.19 | | | COMBINE_EQS: (22), (42) imply:
% 106.06/15.19 | | | (43) all_9_20 = e1
% 106.06/15.19 | | |
% 106.06/15.19 | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (10), (11), (12), (14),
% 106.06/15.19 | | | (15), (18), (19), (20), (21), (23), (24), (25), (28), (31),
% 106.06/15.19 | | | (32), (33), (43) are inconsistent by sub-proof #188.
% 106.06/15.19 | | |
% 106.06/15.19 | | Case 2:
% 106.06/15.19 | | |
% 106.06/15.19 | | | (44) (all_9_10 = e4 & op(e3, e1) = e4) | (all_9_17 = e4 & op(e3, e0) =
% 106.06/15.19 | | | e4)
% 106.06/15.19 | | |
% 106.06/15.19 | | | BETA: splitting (44) gives:
% 106.06/15.19 | | |
% 106.06/15.19 | | | Case 1:
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | (45) all_9_10 = e4 & op(e3, e1) = e4
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | REF_CLOSE: (11), (26), (45) are inconsistent by sub-proof #162.
% 106.06/15.19 | | | |
% 106.06/15.19 | | | Case 2:
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | (46) all_9_17 = e4 & op(e3, e0) = e4
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | ALPHA: (46) implies:
% 106.06/15.19 | | | | (47) all_9_17 = e4
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | COMBINE_EQS: (13), (47) imply:
% 106.06/15.19 | | | | (48) e4 = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | SIMP: (48) implies:
% 106.06/15.19 | | | | (49) e4 = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | COMBINE_EQS: (22), (49) imply:
% 106.06/15.19 | | | | (50) all_9_20 = e3
% 106.06/15.19 | | | |
% 106.06/15.19 | | | | REF_CLOSE: (3), (10), (11), (19), (23), (25), (27), (30), (31), (33),
% 106.06/15.19 | | | | (50) are inconsistent by sub-proof #165.
% 106.06/15.19 | | | |
% 106.06/15.19 | | | End of split
% 106.06/15.19 | | |
% 106.06/15.19 | | End of split
% 106.06/15.19 | |
% 106.06/15.19 | End of split
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #162 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_9_10 = e4 & op(e3, e1) = e4
% 106.06/15.19 (2) all_9_10 = e0
% 106.06/15.19 (3) ~ (e4 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | ALPHA: (1) implies:
% 106.06/15.19 | (4) all_9_10 = e4
% 106.06/15.19 |
% 106.06/15.19 | COMBINE_EQS: (2), (4) imply:
% 106.06/15.19 | (5) e4 = e0
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (3), (5) imply:
% 106.06/15.19 | (6) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (6) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #163 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (2) op(e3, e3) = all_4_6
% 106.06/15.19 (3) op(e3, e3) = e4
% 106.06/15.19 (4) ~ (all_4_6 = e4)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | GROUND_INST: instantiating (1) with all_4_6, e4, e3, e3, simplifying with (2),
% 106.06/15.19 | (3) gives:
% 106.06/15.19 | (5) all_4_6 = e4
% 106.06/15.19 |
% 106.06/15.19 | REDUCE: (4), (5) imply:
% 106.06/15.19 | (6) $false
% 106.06/15.19 |
% 106.06/15.19 | CLOSE: (6) is inconsistent.
% 106.06/15.19 |
% 106.06/15.19 End of proof
% 106.06/15.19
% 106.06/15.19 Sub-proof #164 shows that the following formulas are inconsistent:
% 106.06/15.19 ----------------------------------------------------------------
% 106.06/15.19 (1) all_9_12 = e0
% 106.06/15.19 (2) op(e4, e4) = e1
% 106.06/15.19 (3) all_9_9 = e0 & op(e4, e1) = e0
% 106.06/15.19 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.19 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.19 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.19 (5) all_9_9 = e3
% 106.06/15.19 (6) ~ (e4 = e3)
% 106.06/15.19 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.19 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.19 (8) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.19 (9) ~ (e3 = e1)
% 106.06/15.19 (10) ~ (e3 = e2)
% 106.06/15.19 (11) all_6_5 = e2
% 106.06/15.19 (12) all_9_20 = e4
% 106.06/15.19 (13) all_9_6 = e3
% 106.06/15.19 (14) ~ (e3 = e0)
% 106.06/15.19
% 106.06/15.19 Begin of proof
% 106.06/15.19 |
% 106.06/15.19 | ALPHA: (3) implies:
% 106.06/15.19 | (15) all_9_9 = e0
% 106.06/15.19 |
% 106.06/15.19 | COMBINE_EQS: (5), (15) imply:
% 106.06/15.19 | (16) e3 = e0
% 106.06/15.19 |
% 106.06/15.19 | SIMP: (16) implies:
% 106.06/15.19 | (17) e3 = e0
% 106.06/15.19 |
% 106.06/15.19 | COMBINE_EQS: (13), (17) imply:
% 106.06/15.19 | (18) all_9_6 = e0
% 106.06/15.19 |
% 106.06/15.19 | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (14), (18) are
% 106.06/15.19 | inconsistent by sub-proof #172.
% 106.06/15.19 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #165 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) ~ (all_4_2 = e4)
% 106.06/15.20 (2) ~ (e4 = e3)
% 106.06/15.20 (3) ~ (e4 = e0)
% 106.06/15.20 (4) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.20 (5) all_9_20 = e3
% 106.06/15.20 (6) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.20 (7) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.20 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.20 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.20 (8) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.06/15.20 (9) ~ (op(e4, e4) = e4)
% 106.06/15.20 (10) all_4_1 = e2
% 106.06/15.20 (11) ~ (e4 = e2)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | BETA: splitting (7) gives:
% 106.06/15.20 |
% 106.06/15.20 | Case 1:
% 106.06/15.20 | |
% 106.06/15.20 | | (12) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 106.06/15.20 | |
% 106.06/15.20 | | REF_CLOSE: (6), (9), (10), (11), (12) are inconsistent by sub-proof #206.
% 106.06/15.20 | |
% 106.06/15.20 | Case 2:
% 106.06/15.20 | |
% 106.06/15.20 | | (13) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 106.06/15.20 | | | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.20 | |
% 106.06/15.20 | | BETA: splitting (13) gives:
% 106.06/15.20 | |
% 106.06/15.20 | | Case 1:
% 106.06/15.20 | | |
% 106.06/15.20 | | | (14) all_9_6 = e4 & op(e2, e4) = e4
% 106.06/15.20 | | |
% 106.06/15.20 | | | ALPHA: (14) implies:
% 106.06/15.20 | | | (15) op(e2, e4) = e4
% 106.06/15.20 | | |
% 106.06/15.20 | | | REF_CLOSE: (1), (8), (15) are inconsistent by sub-proof #205.
% 106.06/15.20 | | |
% 106.06/15.20 | | Case 2:
% 106.06/15.20 | | |
% 106.06/15.20 | | | (16) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 106.06/15.20 | | | e4)
% 106.06/15.20 | | |
% 106.06/15.20 | | | BETA: splitting (16) gives:
% 106.06/15.20 | | |
% 106.06/15.20 | | | Case 1:
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | (17) all_9_12 = e4 & op(e1, e4) = e4
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | ALPHA: (17) implies:
% 106.06/15.20 | | | | (18) op(e1, e4) = e4
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | REF_CLOSE: (3), (4), (18) are inconsistent by sub-proof #217.
% 106.06/15.20 | | | |
% 106.06/15.20 | | | Case 2:
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | (19) all_9_20 = e4 & op(e0, e4) = e4
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | ALPHA: (19) implies:
% 106.06/15.20 | | | | (20) all_9_20 = e4
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | REF_CLOSE: (2), (5), (20) are inconsistent by sub-proof #166.
% 106.06/15.20 | | | |
% 106.06/15.20 | | | End of split
% 106.06/15.20 | | |
% 106.06/15.20 | | End of split
% 106.06/15.20 | |
% 106.06/15.20 | End of split
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #166 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_20 = e4
% 106.06/15.20 (2) all_9_20 = e3
% 106.06/15.20 (3) ~ (e4 = e3)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (1), (2) imply:
% 106.06/15.20 | (4) e4 = e3
% 106.06/15.20 |
% 106.06/15.20 | SIMP: (4) implies:
% 106.06/15.20 | (5) e4 = e3
% 106.06/15.20 |
% 106.06/15.20 | REDUCE: (3), (5) imply:
% 106.06/15.20 | (6) $false
% 106.06/15.20 |
% 106.06/15.20 | CLOSE: (6) is inconsistent.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #167 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_6_0 = e1
% 106.06/15.20 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.06/15.20 (3) all_9_12 = e0
% 106.06/15.20 (4) op(e4, e4) = e1
% 106.06/15.20 (5) all_9_7 = e4 & op(e2, e3) = e4
% 106.06/15.20 (6) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.06/15.20 (7) ~ (e4 = e1)
% 106.06/15.20 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.20 (9) ~ (e4 = e3)
% 106.06/15.20 (10) ~ (e4 = e0)
% 106.06/15.20 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.20 (12) ~ (e2 = e0)
% 106.06/15.20 (13) ~ (e3 = e1)
% 106.06/15.20 (14) all_9_7 = e1
% 106.06/15.20 (15) ~ (e3 = e2)
% 106.06/15.20 (16) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.06/15.20 (17) ~ (e2 = e1)
% 106.06/15.20 (18) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.06/15.20 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.06/15.20 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.06/15.20 (19) all_9_20 = e4
% 106.06/15.20 (20) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.06/15.20 (21) ~ (all_4_2 = e2)
% 106.06/15.20 (22) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.06/15.20 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.06/15.20 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.06/15.20 (23) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.06/15.20 (24) all_4_1 = e2
% 106.06/15.20 (25) ~ (e3 = e0)
% 106.06/15.20 (26) ~ (e4 = e2)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | ALPHA: (5) implies:
% 106.06/15.20 | (27) all_9_7 = e4
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (14), (27) imply:
% 106.06/15.20 | (28) e4 = e1
% 106.06/15.20 |
% 106.06/15.20 | SIMP: (28) implies:
% 106.06/15.20 | (29) e4 = e1
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (19), (29) imply:
% 106.06/15.20 | (30) all_9_20 = e1
% 106.06/15.20 |
% 106.06/15.20 | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (11), (12), (13),
% 106.06/15.20 | (15), (16), (17), (18), (20), (21), (22), (23), (24), (25), (26),
% 106.06/15.20 | (30) are inconsistent by sub-proof #188.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #168 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) (all_9_1 = e4 & op(e4, e3) = e4) | (all_9_3 = e4 & op(e3, e3) = e4)
% 106.06/15.20 (2) ~ (op(e4, e3) = e4)
% 106.06/15.20 (3) all_9_3 = e0
% 106.06/15.20 (4) ~ (e4 = e0)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | BETA: splitting (1) gives:
% 106.06/15.20 |
% 106.06/15.20 | Case 1:
% 106.06/15.20 | |
% 106.06/15.20 | | (5) all_9_1 = e4 & op(e4, e3) = e4
% 106.06/15.20 | |
% 106.06/15.20 | | REF_CLOSE: (2), (5) are inconsistent by sub-proof #179.
% 106.06/15.20 | |
% 106.06/15.20 | Case 2:
% 106.06/15.20 | |
% 106.06/15.20 | | (6) all_9_3 = e4 & op(e3, e3) = e4
% 106.06/15.20 | |
% 106.06/15.20 | | ALPHA: (6) implies:
% 106.06/15.20 | | (7) all_9_3 = e4
% 106.06/15.20 | |
% 106.06/15.20 | | COMBINE_EQS: (3), (7) imply:
% 106.06/15.20 | | (8) e4 = e0
% 106.06/15.20 | |
% 106.06/15.20 | | SIMP: (8) implies:
% 106.06/15.20 | | (9) e4 = e0
% 106.06/15.20 | |
% 106.06/15.20 | | REDUCE: (4), (9) imply:
% 106.06/15.20 | | (10) $false
% 106.06/15.20 | |
% 106.06/15.20 | | CLOSE: (10) is inconsistent.
% 106.06/15.20 | |
% 106.06/15.20 | End of split
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #169 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_4 = e1 & op(e4, e2) = e1
% 106.06/15.20 (2) all_9_4 = e0
% 106.06/15.20 (3) ~ (e1 = e0)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | ALPHA: (1) implies:
% 106.06/15.20 | (4) all_9_4 = e1
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (2), (4) imply:
% 106.06/15.20 | (5) e1 = e0
% 106.06/15.20 |
% 106.06/15.20 | SIMP: (5) implies:
% 106.06/15.20 | (6) e1 = e0
% 106.06/15.20 |
% 106.06/15.20 | REDUCE: (3), (6) imply:
% 106.06/15.20 | (7) $false
% 106.06/15.20 |
% 106.06/15.20 | CLOSE: (7) is inconsistent.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #170 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_12 = e0
% 106.06/15.20 (2) op(e4, e4) = e1
% 106.06/15.20 (3) all_9_16 = e4
% 106.06/15.20 (4) (all_9_9 = e0 & op(e4, e1) = e0) | (all_9_16 = e0 & op(e4, e0) = e0)
% 106.06/15.20 (5) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.20 (6) all_9_9 = e3
% 106.06/15.20 (7) ~ (e4 = e3)
% 106.06/15.20 (8) ~ (e4 = e0)
% 106.06/15.20 (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.20 (10) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.20 (11) ~ (e3 = e1)
% 106.06/15.20 (12) ~ (e3 = e2)
% 106.06/15.20 (13) all_6_5 = e2
% 106.06/15.20 (14) all_9_20 = e4
% 106.06/15.20 (15) all_9_6 = e3
% 106.06/15.20 (16) ~ (e3 = e0)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | BETA: splitting (4) gives:
% 106.06/15.20 |
% 106.06/15.20 | Case 1:
% 106.06/15.20 | |
% 106.06/15.20 | | (17) all_9_9 = e0 & op(e4, e1) = e0
% 106.06/15.20 | |
% 106.06/15.20 | | REF_CLOSE: (1), (2), (5), (6), (7), (9), (10), (11), (12), (13), (14), (15),
% 106.06/15.20 | | (16), (17) are inconsistent by sub-proof #171.
% 106.06/15.20 | |
% 106.06/15.20 | Case 2:
% 106.06/15.20 | |
% 106.06/15.20 | | (18) all_9_16 = e0 & op(e4, e0) = e0
% 106.06/15.20 | |
% 106.06/15.20 | | ALPHA: (18) implies:
% 106.06/15.20 | | (19) all_9_16 = e0
% 106.06/15.20 | |
% 106.06/15.20 | | COMBINE_EQS: (3), (19) imply:
% 106.06/15.20 | | (20) e4 = e0
% 106.06/15.20 | |
% 106.06/15.20 | | REDUCE: (8), (20) imply:
% 106.06/15.20 | | (21) $false
% 106.06/15.20 | |
% 106.06/15.20 | | CLOSE: (21) is inconsistent.
% 106.06/15.20 | |
% 106.06/15.20 | End of split
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #171 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_12 = e0
% 106.06/15.20 (2) op(e4, e4) = e1
% 106.06/15.20 (3) all_9_9 = e0 & op(e4, e1) = e0
% 106.06/15.20 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.20 (5) all_9_9 = e3
% 106.06/15.20 (6) ~ (e4 = e3)
% 106.06/15.20 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.20 (8) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.20 (9) ~ (e3 = e1)
% 106.06/15.20 (10) ~ (e3 = e2)
% 106.06/15.20 (11) all_6_5 = e2
% 106.06/15.20 (12) all_9_20 = e4
% 106.06/15.20 (13) all_9_6 = e3
% 106.06/15.20 (14) ~ (e3 = e0)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | ALPHA: (3) implies:
% 106.06/15.20 | (15) all_9_9 = e0
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (5), (15) imply:
% 106.06/15.20 | (16) e3 = e0
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (13), (16) imply:
% 106.06/15.20 | (17) all_9_6 = e0
% 106.06/15.20 |
% 106.06/15.20 | REF_CLOSE: (1), (2), (4), (6), (7), (8), (9), (10), (11), (12), (14), (17) are
% 106.06/15.20 | inconsistent by sub-proof #172.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #172 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_12 = e0
% 106.06/15.20 (2) op(e4, e4) = e1
% 106.06/15.20 (3) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.06/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.06/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.20 (4) ~ (e4 = e3)
% 106.06/15.20 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.20 (6) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.06/15.20 (7) ~ (e3 = e1)
% 106.06/15.20 (8) ~ (e3 = e2)
% 106.06/15.20 (9) all_6_5 = e2
% 106.06/15.20 (10) all_9_20 = e4
% 106.06/15.20 (11) all_9_6 = e0
% 106.06/15.20 (12) ~ (e3 = e0)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | BETA: splitting (3) gives:
% 106.06/15.20 |
% 106.06/15.20 | Case 1:
% 106.06/15.20 | |
% 106.06/15.20 | | (13) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3)
% 106.06/15.20 | |
% 106.06/15.20 | | REF_CLOSE: (2), (5), (6), (7), (8), (9), (13) are inconsistent by sub-proof
% 106.06/15.20 | | #214.
% 106.06/15.20 | |
% 106.06/15.20 | Case 2:
% 106.06/15.20 | |
% 106.06/15.20 | | (14) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3)
% 106.06/15.20 | | | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.06/15.20 | |
% 106.06/15.20 | | BETA: splitting (14) gives:
% 106.06/15.20 | |
% 106.06/15.20 | | Case 1:
% 106.06/15.20 | | |
% 106.06/15.20 | | | (15) all_9_6 = e3 & op(e2, e4) = e3
% 106.06/15.20 | | |
% 106.06/15.20 | | | REF_CLOSE: (11), (12), (15) are inconsistent by sub-proof #213.
% 106.06/15.20 | | |
% 106.06/15.20 | | Case 2:
% 106.06/15.20 | | |
% 106.06/15.20 | | | (16) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) =
% 106.06/15.20 | | | e3)
% 106.06/15.20 | | |
% 106.06/15.20 | | | BETA: splitting (16) gives:
% 106.06/15.20 | | |
% 106.06/15.20 | | | Case 1:
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | (17) all_9_12 = e3 & op(e1, e4) = e3
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | REF_CLOSE: (1), (12), (17) are inconsistent by sub-proof #194.
% 106.06/15.20 | | | |
% 106.06/15.20 | | | Case 2:
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | (18) all_9_20 = e3 & op(e0, e4) = e3
% 106.06/15.20 | | | |
% 106.06/15.20 | | | | REF_CLOSE: (4), (10), (18) are inconsistent by sub-proof #187.
% 106.06/15.20 | | | |
% 106.06/15.20 | | | End of split
% 106.06/15.20 | | |
% 106.06/15.20 | | End of split
% 106.06/15.20 | |
% 106.06/15.20 | End of split
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #173 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_10 = e2 & op(e3, e1) = e2
% 106.06/15.20 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.06/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.06/15.20 (3) op(e3, e1) = all_4_16
% 106.06/15.20 (4) ~ (all_4_16 = e2)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | ALPHA: (1) implies:
% 106.06/15.20 | (5) op(e3, e1) = e2
% 106.06/15.20 |
% 106.06/15.20 | GROUND_INST: instantiating (2) with all_4_16, e2, e1, e3, simplifying with
% 106.06/15.20 | (3), (5) gives:
% 106.06/15.20 | (6) all_4_16 = e2
% 106.06/15.20 |
% 106.06/15.20 | REDUCE: (4), (6) imply:
% 106.06/15.20 | (7) $false
% 106.06/15.20 |
% 106.06/15.20 | CLOSE: (7) is inconsistent.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #174 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) all_9_9 = e2 & op(e4, e1) = e2
% 106.06/15.20 (2) all_9_9 = e3
% 106.06/15.20 (3) ~ (e3 = e2)
% 106.06/15.20
% 106.06/15.20 Begin of proof
% 106.06/15.20 |
% 106.06/15.20 | ALPHA: (1) implies:
% 106.06/15.20 | (4) all_9_9 = e2
% 106.06/15.20 |
% 106.06/15.20 | COMBINE_EQS: (2), (4) imply:
% 106.06/15.20 | (5) e3 = e2
% 106.06/15.20 |
% 106.06/15.20 | REDUCE: (3), (5) imply:
% 106.06/15.20 | (6) $false
% 106.06/15.20 |
% 106.06/15.20 | CLOSE: (6) is inconsistent.
% 106.06/15.20 |
% 106.06/15.20 End of proof
% 106.06/15.20
% 106.06/15.20 Sub-proof #175 shows that the following formulas are inconsistent:
% 106.06/15.20 ----------------------------------------------------------------
% 106.06/15.20 (1) ~ (e1 = e0)
% 106.06/15.20 (2) op(e4, e4) = e1
% 106.06/15.20 (3) (all_9_0 = e0 & op(e4, e4) = e0) | (all_9_1 = e0 & op(e4, e3) = e0)
% 106.06/15.20 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.20 (5) ~ (e2 = e0)
% 106.29/15.20 (6) all_9_1 = e2
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | BETA: splitting (3) gives:
% 106.29/15.20 |
% 106.29/15.20 | Case 1:
% 106.29/15.20 | |
% 106.29/15.20 | | (7) all_9_0 = e0 & op(e4, e4) = e0
% 106.29/15.20 | |
% 106.29/15.20 | | ALPHA: (7) implies:
% 106.29/15.20 | | (8) op(e4, e4) = e0
% 106.29/15.20 | |
% 106.29/15.20 | | REF_CLOSE: (1), (2), (4), (8) are inconsistent by sub-proof #224.
% 106.29/15.20 | |
% 106.29/15.20 | Case 2:
% 106.29/15.20 | |
% 106.29/15.20 | | (9) all_9_1 = e0 & op(e4, e3) = e0
% 106.29/15.20 | |
% 106.29/15.20 | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #176.
% 106.29/15.20 | |
% 106.29/15.20 | End of split
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #176 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_9_1 = e0 & op(e4, e3) = e0
% 106.29/15.20 (2) all_9_1 = e2
% 106.29/15.20 (3) ~ (e2 = e0)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | ALPHA: (1) implies:
% 106.29/15.20 | (4) all_9_1 = e0
% 106.29/15.20 |
% 106.29/15.20 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.20 | (5) e2 = e0
% 106.29/15.20 |
% 106.29/15.20 | REDUCE: (3), (5) imply:
% 106.29/15.20 | (6) $false
% 106.29/15.20 |
% 106.29/15.20 | CLOSE: (6) is inconsistent.
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #177 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_4_15 = e4 | ~ (op(e4, e1) = e4)
% 106.29/15.20 (2) op(e4, e1) = e4
% 106.29/15.20 (3) all_4_15 = e3
% 106.29/15.20 (4) ~ (e4 = e3)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | BETA: splitting (1) gives:
% 106.29/15.20 |
% 106.29/15.20 | Case 1:
% 106.29/15.20 | |
% 106.29/15.20 | | (5) ~ (op(e4, e1) = e4)
% 106.29/15.20 | |
% 106.29/15.20 | | PRED_UNIFY: (2), (5) imply:
% 106.29/15.20 | | (6) $false
% 106.29/15.20 | |
% 106.29/15.20 | | CLOSE: (6) is inconsistent.
% 106.29/15.20 | |
% 106.29/15.20 | Case 2:
% 106.29/15.20 | |
% 106.29/15.20 | | (7) all_4_15 = e4
% 106.29/15.20 | |
% 106.29/15.20 | | COMBINE_EQS: (3), (7) imply:
% 106.29/15.20 | | (8) e4 = e3
% 106.29/15.20 | |
% 106.29/15.20 | | SIMP: (8) implies:
% 106.29/15.20 | | (9) e4 = e3
% 106.29/15.20 | |
% 106.29/15.20 | | REDUCE: (4), (9) imply:
% 106.29/15.20 | | (10) $false
% 106.29/15.20 | |
% 106.29/15.20 | | CLOSE: (10) is inconsistent.
% 106.29/15.20 | |
% 106.29/15.20 | End of split
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #178 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_4_10 = e4 | ~ (op(e4, e2) = e4)
% 106.29/15.20 (2) op(e4, e2) = e4
% 106.29/15.20 (3) ~ (all_4_10 = e4)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | BETA: splitting (1) gives:
% 106.29/15.20 |
% 106.29/15.20 | Case 1:
% 106.29/15.20 | |
% 106.29/15.20 | | (4) ~ (op(e4, e2) = e4)
% 106.29/15.20 | |
% 106.29/15.20 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.20 | | (5) $false
% 106.29/15.20 | |
% 106.29/15.20 | | CLOSE: (5) is inconsistent.
% 106.29/15.20 | |
% 106.29/15.20 | Case 2:
% 106.29/15.20 | |
% 106.29/15.20 | | (6) all_4_10 = e4
% 106.29/15.20 | |
% 106.29/15.20 | | REDUCE: (3), (6) imply:
% 106.29/15.20 | | (7) $false
% 106.29/15.20 | |
% 106.29/15.20 | | CLOSE: (7) is inconsistent.
% 106.29/15.20 | |
% 106.29/15.20 | End of split
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #179 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_9_1 = e4 & op(e4, e3) = e4
% 106.29/15.20 (2) ~ (op(e4, e3) = e4)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | ALPHA: (1) implies:
% 106.29/15.20 | (3) op(e4, e3) = e4
% 106.29/15.20 |
% 106.29/15.20 | PRED_UNIFY: (2), (3) imply:
% 106.29/15.20 | (4) $false
% 106.29/15.20 |
% 106.29/15.20 | CLOSE: (4) is inconsistent.
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #180 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_6_0 = e1
% 106.29/15.20 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.20 (3) all_9_12 = e0
% 106.29/15.20 (4) op(e4, e4) = e1
% 106.29/15.20 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.29/15.20 (6) ~ (e4 = e1)
% 106.29/15.20 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.20 (8) ~ (e4 = e3)
% 106.29/15.20 (9) ~ (e4 = e0)
% 106.29/15.20 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.20 (11) ~ (e2 = e0)
% 106.29/15.20 (12) ~ (e3 = e1)
% 106.29/15.20 (13) ~ (e3 = e2)
% 106.29/15.20 (14) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.20 (15) ~ (e2 = e1)
% 106.29/15.20 (16) all_9_22 = e1 & op(e0, e2) = e1
% 106.29/15.20 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.20 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.20 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.20 (18) all_9_22 = e2
% 106.29/15.20 (19) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.20 (20) ~ (all_4_2 = e2)
% 106.29/15.20 (21) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.29/15.20 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.29/15.20 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.20 (22) all_4_1 = e2
% 106.29/15.20 (23) all_9_2 = e2
% 106.29/15.20 (24) ~ (e3 = e0)
% 106.29/15.20 (25) ~ (e4 = e2)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | ALPHA: (16) implies:
% 106.29/15.20 | (26) all_9_22 = e1
% 106.29/15.20 |
% 106.29/15.20 | COMBINE_EQS: (18), (26) imply:
% 106.29/15.20 | (27) e2 = e1
% 106.29/15.20 |
% 106.29/15.20 | COMBINE_EQS: (23), (27) imply:
% 106.29/15.20 | (28) all_9_2 = e1
% 106.29/15.20 |
% 106.29/15.20 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 106.29/15.20 | (13), (14), (15), (17), (19), (20), (21), (22), (24), (25), (28)
% 106.29/15.20 | are inconsistent by sub-proof #181.
% 106.29/15.20 |
% 106.29/15.20 End of proof
% 106.29/15.20
% 106.29/15.20 Sub-proof #181 shows that the following formulas are inconsistent:
% 106.29/15.20 ----------------------------------------------------------------
% 106.29/15.20 (1) all_6_0 = e1
% 106.29/15.20 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.20 (3) all_9_12 = e0
% 106.29/15.20 (4) op(e4, e4) = e1
% 106.29/15.20 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.29/15.20 (6) ~ (e4 = e1)
% 106.29/15.20 (7) all_9_2 = e1
% 106.29/15.20 (8) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.20 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.20 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.20 (9) ~ (e4 = e3)
% 106.29/15.20 (10) ~ (e4 = e0)
% 106.29/15.20 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.20 (12) ~ (e2 = e0)
% 106.29/15.20 (13) ~ (e3 = e1)
% 106.29/15.20 (14) ~ (e3 = e2)
% 106.29/15.20 (15) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.20 (16) ~ (e2 = e1)
% 106.29/15.20 (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.20 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.20 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.20 (18) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.20 (19) ~ (all_4_2 = e2)
% 106.29/15.20 (20) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.29/15.20 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.29/15.20 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.20 (21) all_4_1 = e2
% 106.29/15.20 (22) ~ (e3 = e0)
% 106.29/15.20 (23) ~ (e4 = e2)
% 106.29/15.20
% 106.29/15.20 Begin of proof
% 106.29/15.20 |
% 106.29/15.20 | BETA: splitting (17) gives:
% 106.29/15.20 |
% 106.29/15.20 | Case 1:
% 106.29/15.20 | |
% 106.29/15.20 | | (24) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2)
% 106.29/15.20 | |
% 106.29/15.20 | | REF_CLOSE: (4), (7), (11), (16), (24) are inconsistent by sub-proof #183.
% 106.29/15.20 | |
% 106.29/15.20 | Case 2:
% 106.29/15.20 | |
% 106.29/15.21 | | (25) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2)
% 106.29/15.21 | | | (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 | |
% 106.29/15.21 | | BETA: splitting (25) gives:
% 106.29/15.21 | |
% 106.29/15.21 | | Case 1:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (26) all_9_6 = e2 & op(e2, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | REF_CLOSE: (2), (19), (26) are inconsistent by sub-proof #210.
% 106.29/15.21 | | |
% 106.29/15.21 | | Case 2:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (27) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) =
% 106.29/15.21 | | | e2)
% 106.29/15.21 | | |
% 106.29/15.21 | | | BETA: splitting (27) gives:
% 106.29/15.21 | | |
% 106.29/15.21 | | | Case 1:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (28) all_9_12 = e2 & op(e1, e4) = e2
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | REF_CLOSE: (3), (12), (28) are inconsistent by sub-proof #191.
% 106.29/15.21 | | | |
% 106.29/15.21 | | | Case 2:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (29) all_9_20 = e2 & op(e0, e4) = e2
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | ALPHA: (29) implies:
% 106.29/15.21 | | | | (30) all_9_20 = e2
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | BETA: splitting (20) gives:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | Case 1:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (31) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4)
% 106.29/15.21 | | | | | = e4)
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | REF_CLOSE: (1), (5), (6), (18), (21), (23), (31) are inconsistent by
% 106.29/15.21 | | | | | sub-proof #219.
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | Case 2:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (32) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4)
% 106.29/15.21 | | | | | = e4) | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | BETA: splitting (32) gives:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | Case 1:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (33) all_9_6 = e4 & op(e2, e4) = e4
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | ALPHA: (33) implies:
% 106.29/15.21 | | | | | | (34) all_9_6 = e4
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | BETA: splitting (8) gives:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | Case 1:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | (35) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3,
% 106.29/15.21 | | | | | | | e4) = e3)
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | BETA: splitting (35) gives:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (36) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | ALPHA: (36) implies:
% 106.29/15.21 | | | | | | | | (37) op(e4, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REF_CLOSE: (4), (11), (13), (37) are inconsistent by sub-proof
% 106.29/15.21 | | | | | | | | #216.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (38) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | ALPHA: (38) implies:
% 106.29/15.21 | | | | | | | | (39) all_9_2 = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | COMBINE_EQS: (7), (39) imply:
% 106.29/15.21 | | | | | | | | (40) e3 = e1
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | SIMP: (40) implies:
% 106.29/15.21 | | | | | | | | (41) e3 = e1
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REDUCE: (13), (41) imply:
% 106.29/15.21 | | | | | | | | (42) $false
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | CLOSE: (42) is inconsistent.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | End of split
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | Case 2:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | (43) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1,
% 106.29/15.21 | | | | | | | e4) = e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | BETA: splitting (43) gives:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (44) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REF_CLOSE: (9), (34), (44) are inconsistent by sub-proof #195.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (45) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 &
% 106.29/15.21 | | | | | | | | op(e0, e4) = e3)
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | BETA: splitting (45) gives:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | (46) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | REF_CLOSE: (3), (22), (46) are inconsistent by sub-proof #194.
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | (47) all_9_20 = e3 & op(e0, e4) = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | ALPHA: (47) implies:
% 106.29/15.21 | | | | | | | | | (48) all_9_20 = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | COMBINE_EQS: (30), (48) imply:
% 106.29/15.21 | | | | | | | | | (49) e3 = e2
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | SIMP: (49) implies:
% 106.29/15.21 | | | | | | | | | (50) e3 = e2
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | REDUCE: (14), (50) imply:
% 106.29/15.21 | | | | | | | | | (51) $false
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | CLOSE: (51) is inconsistent.
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | End of split
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | End of split
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | End of split
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | Case 2:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (52) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0,
% 106.29/15.21 | | | | | | e4) = e4)
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | REF_CLOSE: (10), (15), (23), (30), (52) are inconsistent by
% 106.29/15.21 | | | | | | sub-proof #182.
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | End of split
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | End of split
% 106.29/15.21 | | | |
% 106.29/15.21 | | | End of split
% 106.29/15.21 | | |
% 106.29/15.21 | | End of split
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #182 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) ~ (e4 = e0)
% 106.29/15.21 (2) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.21 (3) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.21 (4) all_9_20 = e2
% 106.29/15.21 (5) ~ (e4 = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (3) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (6) all_9_12 = e4 & op(e1, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (6) implies:
% 106.29/15.21 | | (7) op(e1, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | REF_CLOSE: (1), (2), (7) are inconsistent by sub-proof #217.
% 106.29/15.21 | |
% 106.29/15.21 | Case 2:
% 106.29/15.21 | |
% 106.29/15.21 | | (8) all_9_20 = e4 & op(e0, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (8) implies:
% 106.29/15.21 | | (9) all_9_20 = e4
% 106.29/15.21 | |
% 106.29/15.21 | | COMBINE_EQS: (4), (9) imply:
% 106.29/15.21 | | (10) e4 = e2
% 106.29/15.21 | |
% 106.29/15.21 | | REDUCE: (5), (10) imply:
% 106.29/15.21 | | (11) $false
% 106.29/15.21 | |
% 106.29/15.21 | | CLOSE: (11) is inconsistent.
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #183 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) op(e4, e4) = e1
% 106.29/15.21 (2) all_9_2 = e1
% 106.29/15.21 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.21 (4) ~ (e2 = e1)
% 106.29/15.21 (5) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (5) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (6) all_9_0 = e2 & op(e4, e4) = e2
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (6) implies:
% 106.29/15.21 | | (7) op(e4, e4) = e2
% 106.29/15.21 | |
% 106.29/15.21 | | REF_CLOSE: (1), (3), (4), (7) are inconsistent by sub-proof #222.
% 106.29/15.21 | |
% 106.29/15.21 | Case 2:
% 106.29/15.21 | |
% 106.29/15.21 | | (8) all_9_2 = e2 & op(e3, e4) = e2
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (8) implies:
% 106.29/15.21 | | (9) all_9_2 = e2
% 106.29/15.21 | |
% 106.29/15.21 | | COMBINE_EQS: (2), (9) imply:
% 106.29/15.21 | | (10) e2 = e1
% 106.29/15.21 | |
% 106.29/15.21 | | SIMP: (10) implies:
% 106.29/15.21 | | (11) e2 = e1
% 106.29/15.21 | |
% 106.29/15.21 | | REDUCE: (4), (11) imply:
% 106.29/15.21 | | (12) $false
% 106.29/15.21 | |
% 106.29/15.21 | | CLOSE: (12) is inconsistent.
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #184 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_9_21 = e1 & op(e0, e3) = e1
% 106.29/15.21 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.21 (3) all_9_12 = e0
% 106.29/15.21 (4) op(e4, e4) = e1
% 106.29/15.21 (5) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.21 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.21 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 (6) ~ (e4 = e3)
% 106.29/15.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.21 (8) ~ (e2 = e0)
% 106.29/15.21 (9) ~ (e3 = e1)
% 106.29/15.21 (10) ~ (e3 = e2)
% 106.29/15.21 (11) ~ (e2 = e1)
% 106.29/15.21 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.21 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.21 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 (13) all_9_20 = e4
% 106.29/15.21 (14) ~ (all_4_2 = e2)
% 106.29/15.21 (15) all_9_21 = e3
% 106.29/15.21 (16) all_9_6 = e3
% 106.29/15.21 (17) ~ (e3 = e0)
% 106.29/15.21 (18) ~ (e4 = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | ALPHA: (1) implies:
% 106.29/15.21 | (19) all_9_21 = e1
% 106.29/15.21 |
% 106.29/15.21 | COMBINE_EQS: (15), (19) imply:
% 106.29/15.21 | (20) e3 = e1
% 106.29/15.21 |
% 106.29/15.21 | COMBINE_EQS: (16), (20) imply:
% 106.29/15.21 | (21) all_9_6 = e1
% 106.29/15.21 |
% 106.29/15.21 | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 106.29/15.21 | (14), (17), (18), (21) are inconsistent by sub-proof #185.
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #185 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.21 (2) all_9_12 = e0
% 106.29/15.21 (3) op(e4, e4) = e1
% 106.29/15.21 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.21 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.21 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 (5) all_9_6 = e1
% 106.29/15.21 (6) ~ (e4 = e3)
% 106.29/15.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.21 (8) ~ (e2 = e0)
% 106.29/15.21 (9) ~ (e3 = e1)
% 106.29/15.21 (10) ~ (e3 = e2)
% 106.29/15.21 (11) ~ (e2 = e1)
% 106.29/15.21 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.21 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.21 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 (13) all_9_20 = e4
% 106.29/15.21 (14) ~ (all_4_2 = e2)
% 106.29/15.21 (15) ~ (e3 = e0)
% 106.29/15.21 (16) ~ (e4 = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (12) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2)
% 106.29/15.21 | |
% 106.29/15.21 | | BETA: splitting (17) gives:
% 106.29/15.21 | |
% 106.29/15.21 | | Case 1:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (18) all_9_0 = e2 & op(e4, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | ALPHA: (18) implies:
% 106.29/15.21 | | | (19) op(e4, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | REF_CLOSE: (3), (7), (11), (19) are inconsistent by sub-proof #222.
% 106.29/15.21 | | |
% 106.29/15.21 | | Case 2:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (20) all_9_2 = e2 & op(e3, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | ALPHA: (20) implies:
% 106.29/15.21 | | | (21) all_9_2 = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | BETA: splitting (4) gives:
% 106.29/15.21 | | |
% 106.29/15.21 | | | Case 1:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (22) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) =
% 106.29/15.21 | | | | e3)
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | BETA: splitting (22) gives:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | Case 1:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (23) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | ALPHA: (23) implies:
% 106.29/15.21 | | | | | (24) op(e4, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | REF_CLOSE: (3), (7), (9), (24) are inconsistent by sub-proof #216.
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | Case 2:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (25) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | REF_CLOSE: (10), (21), (25) are inconsistent by sub-proof #192.
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | End of split
% 106.29/15.21 | | | |
% 106.29/15.21 | | | Case 2:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (26) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) =
% 106.29/15.21 | | | | e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | BETA: splitting (26) gives:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | Case 1:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (27) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | ALPHA: (27) implies:
% 106.29/15.21 | | | | | (28) all_9_6 = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | COMBINE_EQS: (5), (28) imply:
% 106.29/15.21 | | | | | (29) e3 = e1
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | REDUCE: (9), (29) imply:
% 106.29/15.21 | | | | | (30) $false
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | CLOSE: (30) is inconsistent.
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | Case 2:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (31) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0,
% 106.29/15.21 | | | | | e4) = e3)
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | BETA: splitting (31) gives:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | Case 1:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (32) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | REF_CLOSE: (2), (15), (32) are inconsistent by sub-proof #194.
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | Case 2:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (33) all_9_20 = e3 & op(e0, e4) = e3
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | REF_CLOSE: (6), (13), (33) are inconsistent by sub-proof #187.
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | End of split
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | End of split
% 106.29/15.21 | | | |
% 106.29/15.21 | | | End of split
% 106.29/15.21 | | |
% 106.29/15.21 | | End of split
% 106.29/15.21 | |
% 106.29/15.21 | Case 2:
% 106.29/15.21 | |
% 106.29/15.21 | | (34) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2)
% 106.29/15.21 | | | (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 | |
% 106.29/15.21 | | BETA: splitting (34) gives:
% 106.29/15.21 | |
% 106.29/15.21 | | Case 1:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (35) all_9_6 = e2 & op(e2, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | REF_CLOSE: (1), (14), (35) are inconsistent by sub-proof #210.
% 106.29/15.21 | | |
% 106.29/15.21 | | Case 2:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (36) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) =
% 106.29/15.21 | | | e2)
% 106.29/15.21 | | |
% 106.29/15.21 | | | BETA: splitting (36) gives:
% 106.29/15.21 | | |
% 106.29/15.21 | | | Case 1:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (37) all_9_12 = e2 & op(e1, e4) = e2
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | REF_CLOSE: (2), (8), (37) are inconsistent by sub-proof #191.
% 106.29/15.21 | | | |
% 106.29/15.21 | | | Case 2:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (38) all_9_20 = e2 & op(e0, e4) = e2
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | REF_CLOSE: (13), (16), (38) are inconsistent by sub-proof #186.
% 106.29/15.21 | | | |
% 106.29/15.21 | | | End of split
% 106.29/15.21 | | |
% 106.29/15.21 | | End of split
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #186 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_9_20 = e2 & op(e0, e4) = e2
% 106.29/15.21 (2) all_9_20 = e4
% 106.29/15.21 (3) ~ (e4 = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | ALPHA: (1) implies:
% 106.29/15.21 | (4) all_9_20 = e2
% 106.29/15.21 |
% 106.29/15.21 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.21 | (5) e4 = e2
% 106.29/15.21 |
% 106.29/15.21 | SIMP: (5) implies:
% 106.29/15.21 | (6) e4 = e2
% 106.29/15.21 |
% 106.29/15.21 | REDUCE: (3), (6) imply:
% 106.29/15.21 | (7) $false
% 106.29/15.21 |
% 106.29/15.21 | CLOSE: (7) is inconsistent.
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #187 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_9_20 = e3 & op(e0, e4) = e3
% 106.29/15.21 (2) all_9_20 = e4
% 106.29/15.21 (3) ~ (e4 = e3)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | ALPHA: (1) implies:
% 106.29/15.21 | (4) all_9_20 = e3
% 106.29/15.21 |
% 106.29/15.21 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.21 | (5) e4 = e3
% 106.29/15.21 |
% 106.29/15.21 | REDUCE: (3), (5) imply:
% 106.29/15.21 | (6) $false
% 106.29/15.21 |
% 106.29/15.21 | CLOSE: (6) is inconsistent.
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #188 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_6_0 = e1
% 106.29/15.21 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.21 (3) all_9_12 = e0
% 106.29/15.21 (4) op(e4, e4) = e1
% 106.29/15.21 (5) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.29/15.21 (6) ~ (e4 = e1)
% 106.29/15.21 (7) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.21 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.21 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 (8) ~ (e4 = e3)
% 106.29/15.21 (9) ~ (e4 = e0)
% 106.29/15.21 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.21 (11) ~ (e2 = e0)
% 106.29/15.21 (12) ~ (e3 = e1)
% 106.29/15.21 (13) ~ (e3 = e2)
% 106.29/15.21 (14) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.21 (15) ~ (e2 = e1)
% 106.29/15.21 (16) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.21 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.21 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 (17) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.21 (18) ~ (all_4_2 = e2)
% 106.29/15.21 (19) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4) |
% 106.29/15.21 (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4) |
% 106.29/15.21 (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.21 (20) all_9_20 = e1
% 106.29/15.21 (21) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.29/15.21 (22) all_4_1 = e2
% 106.29/15.21 (23) ~ (e3 = e0)
% 106.29/15.21 (24) ~ (e4 = e2)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (19) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (25) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 106.29/15.21 | |
% 106.29/15.21 | | REF_CLOSE: (1), (5), (6), (17), (22), (24), (25) are inconsistent by
% 106.29/15.21 | | sub-proof #219.
% 106.29/15.21 | |
% 106.29/15.21 | Case 2:
% 106.29/15.21 | |
% 106.29/15.21 | | (26) (all_9_6 = e4 & op(e2, e4) = e4) | (all_9_12 = e4 & op(e1, e4) = e4)
% 106.29/15.21 | | | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.21 | |
% 106.29/15.21 | | BETA: splitting (26) gives:
% 106.29/15.21 | |
% 106.29/15.21 | | Case 1:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (27) all_9_6 = e4 & op(e2, e4) = e4
% 106.29/15.21 | | |
% 106.29/15.21 | | | ALPHA: (27) implies:
% 106.29/15.21 | | | (28) all_9_6 = e4
% 106.29/15.21 | | |
% 106.29/15.21 | | | REF_CLOSE: (2), (3), (4), (7), (8), (10), (11), (12), (13), (15), (16),
% 106.29/15.21 | | | (18), (20), (21), (23), (28) are inconsistent by sub-proof
% 106.29/15.21 | | | #190.
% 106.29/15.21 | | |
% 106.29/15.21 | | Case 2:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (29) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) =
% 106.29/15.21 | | | e4)
% 106.29/15.21 | | |
% 106.29/15.21 | | | REF_CLOSE: (6), (9), (14), (20), (29) are inconsistent by sub-proof #189.
% 106.29/15.21 | | |
% 106.29/15.21 | | End of split
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #189 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) ~ (e4 = e1)
% 106.29/15.21 (2) ~ (e4 = e0)
% 106.29/15.21 (3) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.21 (4) (all_9_12 = e4 & op(e1, e4) = e4) | (all_9_20 = e4 & op(e0, e4) = e4)
% 106.29/15.21 (5) all_9_20 = e1
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (4) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (6) all_9_12 = e4 & op(e1, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (6) implies:
% 106.29/15.21 | | (7) op(e1, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | REF_CLOSE: (2), (3), (7) are inconsistent by sub-proof #217.
% 106.29/15.21 | |
% 106.29/15.21 | Case 2:
% 106.29/15.21 | |
% 106.29/15.21 | | (8) all_9_20 = e4 & op(e0, e4) = e4
% 106.29/15.21 | |
% 106.29/15.21 | | ALPHA: (8) implies:
% 106.29/15.21 | | (9) all_9_20 = e4
% 106.29/15.21 | |
% 106.29/15.21 | | COMBINE_EQS: (5), (9) imply:
% 106.29/15.21 | | (10) e4 = e1
% 106.29/15.21 | |
% 106.29/15.21 | | REDUCE: (1), (10) imply:
% 106.29/15.21 | | (11) $false
% 106.29/15.21 | |
% 106.29/15.21 | | CLOSE: (11) is inconsistent.
% 106.29/15.21 | |
% 106.29/15.21 | End of split
% 106.29/15.21 |
% 106.29/15.21 End of proof
% 106.29/15.21
% 106.29/15.21 Sub-proof #190 shows that the following formulas are inconsistent:
% 106.29/15.21 ----------------------------------------------------------------
% 106.29/15.21 (1) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.21 (2) all_9_12 = e0
% 106.29/15.21 (3) op(e4, e4) = e1
% 106.29/15.21 (4) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3) |
% 106.29/15.21 (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.21 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 (5) ~ (e4 = e3)
% 106.29/15.21 (6) all_9_6 = e4
% 106.29/15.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.21 (8) ~ (e2 = e0)
% 106.29/15.21 (9) ~ (e3 = e1)
% 106.29/15.21 (10) ~ (e3 = e2)
% 106.29/15.21 (11) ~ (e2 = e1)
% 106.29/15.21 (12) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2) |
% 106.29/15.21 (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2) |
% 106.29/15.21 (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.21 (13) ~ (all_4_2 = e2)
% 106.29/15.21 (14) all_9_20 = e1
% 106.29/15.21 (15) e3 = e2 | ~ (op(e3, e4) = e3)
% 106.29/15.21 (16) ~ (e3 = e0)
% 106.29/15.21
% 106.29/15.21 Begin of proof
% 106.29/15.21 |
% 106.29/15.21 | BETA: splitting (12) gives:
% 106.29/15.21 |
% 106.29/15.21 | Case 1:
% 106.29/15.21 | |
% 106.29/15.21 | | (17) (all_9_0 = e2 & op(e4, e4) = e2) | (all_9_2 = e2 & op(e3, e4) = e2)
% 106.29/15.21 | |
% 106.29/15.21 | | BETA: splitting (17) gives:
% 106.29/15.21 | |
% 106.29/15.21 | | Case 1:
% 106.29/15.21 | | |
% 106.29/15.21 | | | (18) all_9_0 = e2 & op(e4, e4) = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | ALPHA: (18) implies:
% 106.29/15.21 | | | (19) all_9_0 = e2
% 106.29/15.21 | | |
% 106.29/15.21 | | | BETA: splitting (4) gives:
% 106.29/15.21 | | |
% 106.29/15.21 | | | Case 1:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | (20) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) =
% 106.29/15.21 | | | | e3)
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | BETA: splitting (20) gives:
% 106.29/15.21 | | | |
% 106.29/15.21 | | | | Case 1:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (21) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | REF_CLOSE: (10), (19), (21) are inconsistent by sub-proof #198.
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | Case 2:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | (22) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | ALPHA: (22) implies:
% 106.29/15.21 | | | | | (23) all_9_2 = e3
% 106.29/15.21 | | | | | (24) op(e3, e4) = e3
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | BETA: splitting (15) gives:
% 106.29/15.21 | | | | |
% 106.29/15.21 | | | | | Case 1:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (25) ~ (op(e3, e4) = e3)
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | PRED_UNIFY: (24), (25) imply:
% 106.29/15.21 | | | | | | (26) $false
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | CLOSE: (26) is inconsistent.
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | Case 2:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | (27) e3 = e2
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | COMBINE_EQS: (23), (27) imply:
% 106.29/15.21 | | | | | | (28) all_9_2 = e2
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | BETA: splitting (4) gives:
% 106.29/15.21 | | | | | |
% 106.29/15.21 | | | | | | Case 1:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | BETA: splitting (20) gives:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (29) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REF_CLOSE: (10), (19), (29) are inconsistent by sub-proof #198.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REDUCE: (10), (27) imply:
% 106.29/15.21 | | | | | | | | (30) $false
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | CLOSE: (30) is inconsistent.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | End of split
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | Case 2:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | (31) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1,
% 106.29/15.21 | | | | | | | e4) = e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | BETA: splitting (31) gives:
% 106.29/15.21 | | | | | | |
% 106.29/15.21 | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (32) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | REF_CLOSE: (5), (6), (32) are inconsistent by sub-proof #197.
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | (33) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 &
% 106.29/15.21 | | | | | | | | op(e0, e4) = e3)
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | BETA: splitting (33) gives:
% 106.29/15.21 | | | | | | | |
% 106.29/15.21 | | | | | | | | Case 1:
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | (34) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | REF_CLOSE: (2), (16), (34) are inconsistent by sub-proof #196.
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | Case 2:
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | (35) all_9_20 = e3 & op(e0, e4) = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | ALPHA: (35) implies:
% 106.29/15.21 | | | | | | | | | (36) all_9_20 = e3
% 106.29/15.21 | | | | | | | | |
% 106.29/15.21 | | | | | | | | | COMBINE_EQS: (14), (36) imply:
% 106.29/15.22 | | | | | | | | | (37) e3 = e1
% 106.29/15.22 | | | | | | | | |
% 106.29/15.22 | | | | | | | | | REDUCE: (9), (37) imply:
% 106.29/15.22 | | | | | | | | | (38) $false
% 106.29/15.22 | | | | | | | | |
% 106.29/15.22 | | | | | | | | | CLOSE: (38) is inconsistent.
% 106.29/15.22 | | | | | | | | |
% 106.29/15.22 | | | | | | | | End of split
% 106.29/15.22 | | | | | | | |
% 106.29/15.22 | | | | | | | End of split
% 106.29/15.22 | | | | | | |
% 106.29/15.22 | | | | | | End of split
% 106.29/15.22 | | | | | |
% 106.29/15.22 | | | | | End of split
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | End of split
% 106.29/15.22 | | | |
% 106.29/15.22 | | | Case 2:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | (39) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) =
% 106.29/15.22 | | | | e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | REF_CLOSE: (2), (5), (6), (9), (14), (16), (39) are inconsistent by
% 106.29/15.22 | | | | sub-proof #193.
% 106.29/15.22 | | | |
% 106.29/15.22 | | | End of split
% 106.29/15.22 | | |
% 106.29/15.22 | | Case 2:
% 106.29/15.22 | | |
% 106.29/15.22 | | | (40) all_9_2 = e2 & op(e3, e4) = e2
% 106.29/15.22 | | |
% 106.29/15.22 | | | ALPHA: (40) implies:
% 106.29/15.22 | | | (41) all_9_2 = e2
% 106.29/15.22 | | |
% 106.29/15.22 | | | BETA: splitting (4) gives:
% 106.29/15.22 | | |
% 106.29/15.22 | | | Case 1:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | (42) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) =
% 106.29/15.22 | | | | e3)
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | BETA: splitting (42) gives:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | Case 1:
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | (43) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | ALPHA: (43) implies:
% 106.29/15.22 | | | | | (44) op(e4, e4) = e3
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | GROUND_INST: instantiating (7) with e1, e3, e4, e4, simplifying with
% 106.29/15.22 | | | | | (3), (44) gives:
% 106.29/15.22 | | | | | (45) e3 = e1
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | REDUCE: (9), (45) imply:
% 106.29/15.22 | | | | | (46) $false
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | CLOSE: (46) is inconsistent.
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | Case 2:
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | (47) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | | REF_CLOSE: (10), (41), (47) are inconsistent by sub-proof #192.
% 106.29/15.22 | | | | |
% 106.29/15.22 | | | | End of split
% 106.29/15.22 | | | |
% 106.29/15.22 | | | Case 2:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | (48) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) =
% 106.29/15.22 | | | | e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | REF_CLOSE: (2), (5), (6), (9), (14), (16), (48) are inconsistent by
% 106.29/15.22 | | | | sub-proof #193.
% 106.29/15.22 | | | |
% 106.29/15.22 | | | End of split
% 106.29/15.22 | | |
% 106.29/15.22 | | End of split
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (49) (all_9_6 = e2 & op(e2, e4) = e2) | (all_9_12 = e2 & op(e1, e4) = e2)
% 106.29/15.22 | | | (all_9_20 = e2 & op(e0, e4) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | BETA: splitting (49) gives:
% 106.29/15.22 | |
% 106.29/15.22 | | Case 1:
% 106.29/15.22 | | |
% 106.29/15.22 | | | (50) all_9_6 = e2 & op(e2, e4) = e2
% 106.29/15.22 | | |
% 106.29/15.22 | | | REF_CLOSE: (1), (13), (50) are inconsistent by sub-proof #210.
% 106.29/15.22 | | |
% 106.29/15.22 | | Case 2:
% 106.29/15.22 | | |
% 106.29/15.22 | | | (51) (all_9_12 = e2 & op(e1, e4) = e2) | (all_9_20 = e2 & op(e0, e4) =
% 106.29/15.22 | | | e2)
% 106.29/15.22 | | |
% 106.29/15.22 | | | BETA: splitting (51) gives:
% 106.29/15.22 | | |
% 106.29/15.22 | | | Case 1:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | (52) all_9_12 = e2 & op(e1, e4) = e2
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | REF_CLOSE: (2), (8), (52) are inconsistent by sub-proof #191.
% 106.29/15.22 | | | |
% 106.29/15.22 | | | Case 2:
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | (53) all_9_20 = e2 & op(e0, e4) = e2
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | ALPHA: (53) implies:
% 106.29/15.22 | | | | (54) all_9_20 = e2
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | COMBINE_EQS: (14), (54) imply:
% 106.29/15.22 | | | | (55) e2 = e1
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | REDUCE: (11), (55) imply:
% 106.29/15.22 | | | | (56) $false
% 106.29/15.22 | | | |
% 106.29/15.22 | | | | CLOSE: (56) is inconsistent.
% 106.29/15.22 | | | |
% 106.29/15.22 | | | End of split
% 106.29/15.22 | | |
% 106.29/15.22 | | End of split
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #191 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_12 = e2 & op(e1, e4) = e2
% 106.29/15.22 (2) all_9_12 = e0
% 106.29/15.22 (3) ~ (e2 = e0)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_12 = e2
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e2 = e0
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (5) imply:
% 106.29/15.22 | (6) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (6) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #192 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.22 (2) all_9_2 = e2
% 106.29/15.22 (3) ~ (e3 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_2 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e3 = e2
% 106.29/15.22 |
% 106.29/15.22 | SIMP: (5) implies:
% 106.29/15.22 | (6) e3 = e2
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (6) imply:
% 106.29/15.22 | (7) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (7) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #193 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) (all_9_6 = e3 & op(e2, e4) = e3) | (all_9_12 = e3 & op(e1, e4) = e3) |
% 106.29/15.22 (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.22 (2) all_9_12 = e0
% 106.29/15.22 (3) ~ (e4 = e3)
% 106.29/15.22 (4) all_9_6 = e4
% 106.29/15.22 (5) ~ (e3 = e1)
% 106.29/15.22 (6) all_9_20 = e1
% 106.29/15.22 (7) ~ (e3 = e0)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (8) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #195.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (9) (all_9_12 = e3 & op(e1, e4) = e3) | (all_9_20 = e3 & op(e0, e4) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | BETA: splitting (9) gives:
% 106.29/15.22 | |
% 106.29/15.22 | | Case 1:
% 106.29/15.22 | | |
% 106.29/15.22 | | | (10) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.22 | | |
% 106.29/15.22 | | | REF_CLOSE: (2), (7), (10) are inconsistent by sub-proof #194.
% 106.29/15.22 | | |
% 106.29/15.22 | | Case 2:
% 106.29/15.22 | | |
% 106.29/15.22 | | | (11) all_9_20 = e3 & op(e0, e4) = e3
% 106.29/15.22 | | |
% 106.29/15.22 | | | ALPHA: (11) implies:
% 106.29/15.22 | | | (12) all_9_20 = e3
% 106.29/15.22 | | |
% 106.29/15.22 | | | COMBINE_EQS: (6), (12) imply:
% 106.29/15.22 | | | (13) e3 = e1
% 106.29/15.22 | | |
% 106.29/15.22 | | | SIMP: (13) implies:
% 106.29/15.22 | | | (14) e3 = e1
% 106.29/15.22 | | |
% 106.29/15.22 | | | REDUCE: (5), (14) imply:
% 106.29/15.22 | | | (15) $false
% 106.29/15.22 | | |
% 106.29/15.22 | | | CLOSE: (15) is inconsistent.
% 106.29/15.22 | | |
% 106.29/15.22 | | End of split
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #194 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.22 (2) all_9_12 = e0
% 106.29/15.22 (3) ~ (e3 = e0)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_12 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e3 = e0
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (5) imply:
% 106.29/15.22 | (6) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (6) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #195 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.22 (2) all_9_6 = e4
% 106.29/15.22 (3) ~ (e4 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_6 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e4 = e3
% 106.29/15.22 |
% 106.29/15.22 | SIMP: (5) implies:
% 106.29/15.22 | (6) e4 = e3
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (6) imply:
% 106.29/15.22 | (7) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (7) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #196 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_12 = e3 & op(e1, e4) = e3
% 106.29/15.22 (2) all_9_12 = e0
% 106.29/15.22 (3) ~ (e3 = e0)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_12 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e3 = e0
% 106.29/15.22 |
% 106.29/15.22 | SIMP: (5) implies:
% 106.29/15.22 | (6) e3 = e0
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (6) imply:
% 106.29/15.22 | (7) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (7) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #197 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.22 (2) all_9_6 = e4
% 106.29/15.22 (3) ~ (e4 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_6 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e4 = e3
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (5) imply:
% 106.29/15.22 | (6) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (6) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #198 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.22 (2) all_9_0 = e2
% 106.29/15.22 (3) ~ (e3 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_0 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e3 = e2
% 106.29/15.22 |
% 106.29/15.22 | SIMP: (5) implies:
% 106.29/15.22 | (6) e3 = e2
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (6) imply:
% 106.29/15.22 | (7) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (7) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #199 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_4_16 = e3 | ~ (op(e3, e1) = e3)
% 106.29/15.22 (2) op(e3, e1) = e3
% 106.29/15.22 (3) ~ (all_4_16 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (4) ~ (op(e3, e1) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.22 | | (5) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (5) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_4_16 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #200 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_5 = e3 & op(e3, e2) = e3
% 106.29/15.22 (2) all_6_7 = e3 | ~ (op(e3, e2) = e3)
% 106.29/15.22 (3) all_6_7 = all_4_11
% 106.29/15.22 (4) ~ (all_4_11 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (5) op(e3, e2) = e3
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (2) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) ~ (op(e3, e2) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (5), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (8) all_6_7 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | COMBINE_EQS: (3), (8) imply:
% 106.29/15.22 | | (9) all_4_11 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (4), (9) imply:
% 106.29/15.22 | | (10) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (10) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #201 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) (all_9_2 = e3 & op(e3, e4) = e3) | (all_9_3 = e3 & op(e3, e3) = e3)
% 106.29/15.22 (2) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.29/15.22 (3) ~ (e3 = e2)
% 106.29/15.22 (4) all_6_5 = e2
% 106.29/15.22 (5) ~ (all_4_6 = e3)
% 106.29/15.22 (6) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | ALPHA: (7) implies:
% 106.29/15.22 | | (8) op(e3, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (2), (3), (4), (8) are inconsistent by sub-proof #215.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (9) all_9_3 = e3 & op(e3, e3) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (5), (6), (9) are inconsistent by sub-proof #212.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #202 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_4_13 = e2 | ~ (op(e1, e2) = e2)
% 106.29/15.22 (2) op(e1, e2) = e2
% 106.29/15.22 (3) ~ (all_4_13 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (4) ~ (op(e1, e2) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.22 | | (5) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (5) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_4_13 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #203 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_4_11 = e2 | ~ (op(e3, e2) = e2)
% 106.29/15.22 (2) op(e3, e2) = e2
% 106.29/15.22 (3) ~ (all_4_11 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (4) ~ (op(e3, e2) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.22 | | (5) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (5) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_4_11 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #204 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_4 = e2 & op(e4, e2) = e2
% 106.29/15.22 (2) all_4_10 = e2 | ~ (op(e4, e2) = e2)
% 106.29/15.22 (3) ~ (all_4_10 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) op(e4, e2) = e2
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (2) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e4, e2) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (4), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_4_10 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (7) imply:
% 106.29/15.22 | | (8) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (8) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #205 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_4_2 = e4 | ~ (op(e2, e4) = e4)
% 106.29/15.22 (2) op(e2, e4) = e4
% 106.29/15.22 (3) ~ (all_4_2 = e4)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (4) ~ (op(e2, e4) = e4)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.22 | | (5) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (5) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_4_2 = e4
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #206 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 106.29/15.22 (2) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.22 (3) ~ (op(e4, e4) = e4)
% 106.29/15.22 (4) all_4_1 = e2
% 106.29/15.22 (5) ~ (e4 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_9_0 = e4 & op(e4, e4) = e4
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (3), (6) are inconsistent by sub-proof #207.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_9_2 = e4 & op(e3, e4) = e4
% 106.29/15.22 | |
% 106.29/15.22 | | ALPHA: (7) implies:
% 106.29/15.22 | | (8) op(e3, e4) = e4
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (2), (4), (5), (8) are inconsistent by sub-proof #220.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #207 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_0 = e4 & op(e4, e4) = e4
% 106.29/15.22 (2) ~ (op(e4, e4) = e4)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (3) op(e4, e4) = e4
% 106.29/15.22 |
% 106.29/15.22 | PRED_UNIFY: (2), (3) imply:
% 106.29/15.22 | (4) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (4) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #208 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_6_13 = e2 | ~ (op(e2, e1) = e2)
% 106.29/15.22 (2) op(e2, e1) = e2
% 106.29/15.22 (3) all_6_13 = all_4_17
% 106.29/15.22 (4) ~ (all_4_17 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e2, e1) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_6_13 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | COMBINE_EQS: (3), (7) imply:
% 106.29/15.22 | | (8) all_4_17 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (4), (8) imply:
% 106.29/15.22 | | (9) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (9) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #209 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_8 = e2 & op(e2, e2) = e2
% 106.29/15.22 (2) all_4_12 = e2 | ~ (op(e2, e2) = e2)
% 106.29/15.22 (3) ~ (all_4_12 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) op(e2, e2) = e2
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (2) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e2, e2) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (4), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_4_12 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (7) imply:
% 106.29/15.22 | | (8) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (8) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #210 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_6 = e2 & op(e2, e4) = e2
% 106.29/15.22 (2) all_4_2 = e2 | ~ (op(e2, e4) = e2)
% 106.29/15.22 (3) ~ (all_4_2 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) op(e2, e4) = e2
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (2) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e2, e4) = e2)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (4), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_4_2 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (7) imply:
% 106.29/15.22 | | (8) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (8) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #211 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_4_8 = e3 | ~ (op(e1, e3) = e3)
% 106.29/15.22 (2) op(e1, e3) = e3
% 106.29/15.22 (3) ~ (all_4_8 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (4) ~ (op(e1, e3) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.22 | | (5) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (5) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (6) all_4_8 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (6) imply:
% 106.29/15.22 | | (7) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (7) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #212 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_3 = e3 & op(e3, e3) = e3
% 106.29/15.22 (2) all_4_6 = e3 | ~ (op(e3, e3) = e3)
% 106.29/15.22 (3) ~ (all_4_6 = e3)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) op(e3, e3) = e3
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (2) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e3, e3) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (4), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_4_6 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (3), (7) imply:
% 106.29/15.22 | | (8) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (8) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #213 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_9_6 = e3 & op(e2, e4) = e3
% 106.29/15.22 (2) all_9_6 = e0
% 106.29/15.22 (3) ~ (e3 = e0)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | ALPHA: (1) implies:
% 106.29/15.22 | (4) all_9_6 = e3
% 106.29/15.22 |
% 106.29/15.22 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.22 | (5) e3 = e0
% 106.29/15.22 |
% 106.29/15.22 | SIMP: (5) implies:
% 106.29/15.22 | (6) e3 = e0
% 106.29/15.22 |
% 106.29/15.22 | REDUCE: (3), (6) imply:
% 106.29/15.22 | (7) $false
% 106.29/15.22 |
% 106.29/15.22 | CLOSE: (7) is inconsistent.
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #214 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) (all_9_0 = e3 & op(e4, e4) = e3) | (all_9_2 = e3 & op(e3, e4) = e3)
% 106.29/15.22 (2) op(e4, e4) = e1
% 106.29/15.22 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.22 (4) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.29/15.22 (5) ~ (e3 = e1)
% 106.29/15.22 (6) ~ (e3 = e2)
% 106.29/15.22 (7) all_6_5 = e2
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (8) all_9_0 = e3 & op(e4, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | ALPHA: (8) implies:
% 106.29/15.22 | | (9) op(e4, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #216.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (10) all_9_2 = e3 & op(e3, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | ALPHA: (10) implies:
% 106.29/15.22 | | (11) op(e3, e4) = e3
% 106.29/15.22 | |
% 106.29/15.22 | | REF_CLOSE: (4), (6), (7), (11) are inconsistent by sub-proof #215.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.22
% 106.29/15.22 Sub-proof #215 shows that the following formulas are inconsistent:
% 106.29/15.22 ----------------------------------------------------------------
% 106.29/15.22 (1) all_6_5 = e3 | ~ (op(e3, e4) = e3)
% 106.29/15.22 (2) op(e3, e4) = e3
% 106.29/15.22 (3) all_6_5 = e2
% 106.29/15.22 (4) ~ (e3 = e2)
% 106.29/15.22
% 106.29/15.22 Begin of proof
% 106.29/15.22 |
% 106.29/15.22 | BETA: splitting (1) gives:
% 106.29/15.22 |
% 106.29/15.22 | Case 1:
% 106.29/15.22 | |
% 106.29/15.22 | | (5) ~ (op(e3, e4) = e3)
% 106.29/15.22 | |
% 106.29/15.22 | | PRED_UNIFY: (2), (5) imply:
% 106.29/15.22 | | (6) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (6) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | Case 2:
% 106.29/15.22 | |
% 106.29/15.22 | | (7) all_6_5 = e3
% 106.29/15.22 | |
% 106.29/15.22 | | COMBINE_EQS: (3), (7) imply:
% 106.29/15.22 | | (8) e3 = e2
% 106.29/15.22 | |
% 106.29/15.22 | | REDUCE: (4), (8) imply:
% 106.29/15.22 | | (9) $false
% 106.29/15.22 | |
% 106.29/15.22 | | CLOSE: (9) is inconsistent.
% 106.29/15.22 | |
% 106.29/15.22 | End of split
% 106.29/15.22 |
% 106.29/15.22 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #216 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.23 (2) op(e4, e4) = e3
% 106.29/15.23 (3) op(e4, e4) = e1
% 106.29/15.23 (4) ~ (e3 = e1)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | GROUND_INST: instantiating (1) with e1, e3, e4, e4, simplifying with (2), (3)
% 106.29/15.23 | gives:
% 106.29/15.23 | (5) e3 = e1
% 106.29/15.23 |
% 106.29/15.23 | REDUCE: (4), (5) imply:
% 106.29/15.23 | (6) $false
% 106.29/15.23 |
% 106.29/15.23 | CLOSE: (6) is inconsistent.
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #217 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) e4 = e0 | ~ (op(e1, e4) = e4)
% 106.29/15.23 (2) op(e1, e4) = e4
% 106.29/15.23 (3) ~ (e4 = e0)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | BETA: splitting (1) gives:
% 106.29/15.23 |
% 106.29/15.23 | Case 1:
% 106.29/15.23 | |
% 106.29/15.23 | | (4) ~ (op(e1, e4) = e4)
% 106.29/15.23 | |
% 106.29/15.23 | | PRED_UNIFY: (2), (4) imply:
% 106.29/15.23 | | (5) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (5) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | Case 2:
% 106.29/15.23 | |
% 106.29/15.23 | | (6) e4 = e0
% 106.29/15.23 | |
% 106.29/15.23 | | REDUCE: (3), (6) imply:
% 106.29/15.23 | | (7) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (7) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | End of split
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #218 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) all_9_6 = e4 & op(e2, e4) = e4
% 106.29/15.23 (2) all_9_6 = e0
% 106.29/15.23 (3) ~ (e4 = e0)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | ALPHA: (1) implies:
% 106.29/15.23 | (4) all_9_6 = e4
% 106.29/15.23 |
% 106.29/15.23 | COMBINE_EQS: (2), (4) imply:
% 106.29/15.23 | (5) e4 = e0
% 106.29/15.23 |
% 106.29/15.23 | SIMP: (5) implies:
% 106.29/15.23 | (6) e4 = e0
% 106.29/15.23 |
% 106.29/15.23 | REDUCE: (3), (6) imply:
% 106.29/15.23 | (7) $false
% 106.29/15.23 |
% 106.29/15.23 | CLOSE: (7) is inconsistent.
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #219 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) all_6_0 = e1
% 106.29/15.23 (2) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.29/15.23 (3) ~ (e4 = e1)
% 106.29/15.23 (4) (all_9_0 = e4 & op(e4, e4) = e4) | (all_9_2 = e4 & op(e3, e4) = e4)
% 106.29/15.23 (5) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.23 (6) all_4_1 = e2
% 106.29/15.23 (7) ~ (e4 = e2)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | BETA: splitting (4) gives:
% 106.29/15.23 |
% 106.29/15.23 | Case 1:
% 106.29/15.23 | |
% 106.29/15.23 | | (8) all_9_0 = e4 & op(e4, e4) = e4
% 106.29/15.23 | |
% 106.29/15.23 | | ALPHA: (8) implies:
% 106.29/15.23 | | (9) op(e4, e4) = e4
% 106.29/15.23 | |
% 106.29/15.23 | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #221.
% 106.29/15.23 | |
% 106.29/15.23 | Case 2:
% 106.29/15.23 | |
% 106.29/15.23 | | (10) all_9_2 = e4 & op(e3, e4) = e4
% 106.29/15.23 | |
% 106.29/15.23 | | ALPHA: (10) implies:
% 106.29/15.23 | | (11) op(e3, e4) = e4
% 106.29/15.23 | |
% 106.29/15.23 | | REF_CLOSE: (5), (6), (7), (11) are inconsistent by sub-proof #220.
% 106.29/15.23 | |
% 106.29/15.23 | End of split
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #220 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) all_4_1 = e4 | ~ (op(e3, e4) = e4)
% 106.29/15.23 (2) op(e3, e4) = e4
% 106.29/15.23 (3) all_4_1 = e2
% 106.29/15.23 (4) ~ (e4 = e2)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | BETA: splitting (1) gives:
% 106.29/15.23 |
% 106.29/15.23 | Case 1:
% 106.29/15.23 | |
% 106.29/15.23 | | (5) ~ (op(e3, e4) = e4)
% 106.29/15.23 | |
% 106.29/15.23 | | PRED_UNIFY: (2), (5) imply:
% 106.29/15.23 | | (6) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (6) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | Case 2:
% 106.29/15.23 | |
% 106.29/15.23 | | (7) all_4_1 = e4
% 106.29/15.23 | |
% 106.29/15.23 | | COMBINE_EQS: (3), (7) imply:
% 106.29/15.23 | | (8) e4 = e2
% 106.29/15.23 | |
% 106.29/15.23 | | REDUCE: (4), (8) imply:
% 106.29/15.23 | | (9) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (9) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | End of split
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #221 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) all_6_0 = e4 | ~ (op(e4, e4) = e4)
% 106.29/15.23 (2) op(e4, e4) = e4
% 106.29/15.23 (3) all_6_0 = e1
% 106.29/15.23 (4) ~ (e4 = e1)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | BETA: splitting (1) gives:
% 106.29/15.23 |
% 106.29/15.23 | Case 1:
% 106.29/15.23 | |
% 106.29/15.23 | | (5) ~ (op(e4, e4) = e4)
% 106.29/15.23 | |
% 106.29/15.23 | | PRED_UNIFY: (2), (5) imply:
% 106.29/15.23 | | (6) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (6) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | Case 2:
% 106.29/15.23 | |
% 106.29/15.23 | | (7) all_6_0 = e4
% 106.29/15.23 | |
% 106.29/15.23 | | COMBINE_EQS: (3), (7) imply:
% 106.29/15.23 | | (8) e4 = e1
% 106.29/15.23 | |
% 106.29/15.23 | | REDUCE: (4), (8) imply:
% 106.29/15.23 | | (9) $false
% 106.29/15.23 | |
% 106.29/15.23 | | CLOSE: (9) is inconsistent.
% 106.29/15.23 | |
% 106.29/15.23 | End of split
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #222 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.23 (2) op(e4, e4) = e2
% 106.29/15.23 (3) op(e4, e4) = e1
% 106.29/15.23 (4) ~ (e2 = e1)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | GROUND_INST: instantiating (1) with e1, e2, e4, e4, simplifying with (2), (3)
% 106.29/15.23 | gives:
% 106.29/15.23 | (5) e2 = e1
% 106.29/15.23 |
% 106.29/15.23 | REDUCE: (4), (5) imply:
% 106.29/15.23 | (6) $false
% 106.29/15.23 |
% 106.29/15.23 | CLOSE: (6) is inconsistent.
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #223 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.23 (2) op(e3, e4) = e2
% 106.29/15.23 (3) op(e3, e4) = e0
% 106.29/15.23 (4) ~ (e2 = e0)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | GROUND_INST: instantiating (1) with e2, e0, e4, e3, simplifying with (2), (3)
% 106.29/15.23 | gives:
% 106.29/15.23 | (5) e2 = e0
% 106.29/15.23 |
% 106.29/15.23 | REDUCE: (4), (5) imply:
% 106.29/15.23 | (6) $false
% 106.29/15.23 |
% 106.29/15.23 | CLOSE: (6) is inconsistent.
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23
% 106.29/15.23 Sub-proof #224 shows that the following formulas are inconsistent:
% 106.29/15.23 ----------------------------------------------------------------
% 106.29/15.23 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 106.29/15.23 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 106.29/15.23 (2) op(e4, e4) = e1
% 106.29/15.23 (3) op(e4, e4) = e0
% 106.29/15.23 (4) ~ (e1 = e0)
% 106.29/15.23
% 106.29/15.23 Begin of proof
% 106.29/15.23 |
% 106.29/15.23 | GROUND_INST: instantiating (1) with e1, e0, e4, e4, simplifying with (2), (3)
% 106.29/15.23 | gives:
% 106.29/15.23 | (5) e1 = e0
% 106.29/15.23 |
% 106.29/15.23 | REDUCE: (4), (5) imply:
% 106.29/15.23 | (6) $false
% 106.29/15.23 |
% 106.29/15.23 | CLOSE: (6) is inconsistent.
% 106.29/15.23 |
% 106.29/15.23 End of proof
% 106.29/15.23 % SZS output end Proof for theBenchmark
% 106.29/15.23
% 106.29/15.23 14630ms
%------------------------------------------------------------------------------