TSTP Solution File: ALG047+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG047+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 : n009.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 16:35:51 EDT 2023
% Result : Theorem 22.49s 3.69s
% Output : Proof 76.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG047+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 04:50:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 ________ _____
% 0.19/0.59 ___ __ \_________(_)________________________________
% 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.59 (2023-06-19)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2023
% 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.59 Amanda Stjerna.
% 0.19/0.59 Free software under BSD-3-Clause.
% 0.19/0.59
% 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.66/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.66/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.66/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.66/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.66/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.66/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.66/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.37/1.70 Prover 3: Preprocessing ...
% 7.37/1.70 Prover 0: Preprocessing ...
% 7.37/1.70 Prover 5: Preprocessing ...
% 7.37/1.70 Prover 2: Preprocessing ...
% 7.37/1.73 Prover 1: Preprocessing ...
% 7.37/1.74 Prover 6: Preprocessing ...
% 7.37/1.75 Prover 4: Preprocessing ...
% 12.96/2.45 Prover 1: Constructing countermodel ...
% 12.96/2.45 Prover 3: Constructing countermodel ...
% 12.96/2.46 Prover 4: Constructing countermodel ...
% 12.96/2.46 Prover 2: Constructing countermodel ...
% 14.12/2.60 Prover 0: Constructing countermodel ...
% 14.12/2.64 Prover 6: Constructing countermodel ...
% 16.49/2.91 Prover 5: Constructing countermodel ...
% 22.49/3.68 Prover 0: proved (3067ms)
% 22.49/3.68
% 22.49/3.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.49/3.69
% 22.49/3.69 Prover 3: stopped
% 22.49/3.69 Prover 2: stopped
% 22.49/3.69 Prover 6: stopped
% 22.49/3.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 22.49/3.69 Prover 5: stopped
% 22.49/3.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.49/3.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 22.49/3.69 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.49/3.69 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.11/4.20 Prover 11: Preprocessing ...
% 26.11/4.21 Prover 7: Preprocessing ...
% 26.75/4.25 Prover 13: Preprocessing ...
% 27.03/4.29 Prover 8: Preprocessing ...
% 27.03/4.30 Prover 10: Preprocessing ...
% 29.20/4.56 Prover 8: Constructing countermodel ...
% 29.48/4.62 Prover 13: Constructing countermodel ...
% 29.93/4.67 Prover 11: Constructing countermodel ...
% 29.93/4.68 Prover 7: Constructing countermodel ...
% 30.37/4.74 Prover 10: Constructing countermodel ...
% 65.99/9.28 Prover 13: stopped
% 65.99/9.28 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 67.84/9.49 Prover 16: Preprocessing ...
% 68.36/9.54 Prover 1: Found proof (size 15834)
% 68.36/9.54 Prover 1: proved (8928ms)
% 68.36/9.54 Prover 11: stopped
% 68.36/9.54 Prover 10: stopped
% 68.36/9.54 Prover 7: stopped
% 68.36/9.54 Prover 4: stopped
% 68.36/9.54 Prover 8: stopped
% 68.36/9.56 Prover 16: stopped
% 68.36/9.56
% 68.36/9.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 68.36/9.56
% 70.13/10.02 % SZS output start Proof for theBenchmark
% 70.34/10.08 Assumptions after simplification:
% 70.34/10.08 ---------------------------------
% 70.34/10.08
% 70.34/10.08 (ax1)
% 70.34/10.13 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.34/10.13 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.34/10.13 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.34/10.13 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.34/10.13 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.34/10.13 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 70.34/10.13 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 70.34/10.13 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) =
% 70.34/10.13 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) =
% 70.34/10.13 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6
% 70.34/10.13 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 70.34/10.13 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 70.34/10.13 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 70.34/10.13 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.34/10.13 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 |
% 70.34/10.13 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 =
% 70.34/10.14 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) &
% 70.34/10.14 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 =
% 70.34/10.14 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 |
% 70.34/10.14 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 =
% 70.34/10.14 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 |
% 70.34/10.14 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 =
% 70.34/10.14 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 |
% 70.34/10.14 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12
% 70.34/10.14 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 |
% 70.34/10.14 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 =
% 70.34/10.14 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 =
% 70.34/10.14 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2
% 70.34/10.14 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) &
% 70.34/10.14 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4
% 70.34/10.14 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 =
% 70.34/10.14 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 =
% 70.34/10.14 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1
% 70.34/10.14 | v0 = e0))
% 70.34/10.14
% 70.34/10.14 (ax2)
% 70.34/10.14 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1
% 70.34/10.14 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) =
% 70.34/10.14 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) &
% 70.34/10.14 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 |
% 70.34/10.14 unit = e0)
% 70.34/10.14
% 70.34/10.14 (ax3)
% 70.34/10.16 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.34/10.16 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.34/10.16 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.34/10.16 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.34/10.16 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.34/10.16 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 70.34/10.16 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) =
% 70.34/10.16 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) =
% 70.34/10.16 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) =
% 70.34/10.16 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) =
% 70.34/10.16 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 70.34/10.16 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 70.34/10.16 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 70.34/10.16 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.34/10.16 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 |
% 70.34/10.16 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 =
% 70.34/10.16 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) &
% 70.34/10.16 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2
% 70.34/10.16 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 =
% 70.34/10.16 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) &
% 70.34/10.16 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0
% 70.34/10.16 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 =
% 70.34/10.16 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 70.34/10.16 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2
% 70.34/10.16 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 =
% 70.34/10.16 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) &
% 70.34/10.16 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3
% 70.34/10.16 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 =
% 70.34/10.16 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) &
% 70.34/10.16 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4
% 70.34/10.16 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 =
% 70.34/10.16 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 70.34/10.16 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0
% 70.34/10.16 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 =
% 70.34/10.16 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) &
% 70.34/10.16 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1
% 70.34/10.16 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 =
% 70.34/10.16 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) &
% 70.34/10.16 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2
% 70.34/10.16 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 =
% 70.34/10.16 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 70.34/10.16 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3
% 70.34/10.16 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 =
% 70.34/10.16 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) &
% 70.34/10.16 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 |
% 70.34/10.16 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0
% 70.34/10.16 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7
% 70.34/10.16 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 =
% 70.34/10.16 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 =
% 70.34/10.16 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1
% 70.34/10.16 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0)
% 70.34/10.16 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 70.34/10.16
% 70.34/10.16 (ax4)
% 70.34/10.16 unit = e0 & $i(e0)
% 70.34/10.16
% 70.34/10.16 (ax5)
% 70.77/10.17 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.77/10.17 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i]
% 70.77/10.17 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 70.77/10.17 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 70.77/10.17 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 70.77/10.17 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 70.77/10.17 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 =
% 70.77/10.17 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) &
% 70.77/10.17 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 =
% 70.77/10.17 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) &
% 70.77/10.17 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 =
% 70.77/10.17 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~
% 70.77/10.17 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 =
% 70.77/10.17 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) &
% 70.77/10.17 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 =
% 70.77/10.17 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) &
% 70.77/10.17 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 =
% 70.77/10.17 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) &
% 70.77/10.17 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 =
% 70.77/10.17 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) &
% 70.77/10.17 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 =
% 70.77/10.17 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~
% 70.77/10.17 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~
% 70.77/10.17 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~
% 70.77/10.17 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~
% 70.77/10.17 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~
% 70.77/10.17 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) &
% 70.77/10.17 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 &
% 70.77/10.17 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 &
% 70.77/10.17 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 &
% 70.77/10.17 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 &
% 70.77/10.17 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 70.77/10.17 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 &
% 70.77/10.17 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 70.77/10.17 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 70.77/10.17 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 70.77/10.17 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.77/10.17
% 70.77/10.17 (co1)
% 70.89/10.22 $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1:
% 70.89/10.22 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 70.89/10.22 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 70.89/10.22 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 70.89/10.22 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 70.89/10.22 [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ?
% 70.89/10.22 [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ?
% 70.89/10.22 [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ?
% 70.89/10.22 [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ?
% 70.89/10.22 [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 70.89/10.22 [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ?
% 70.89/10.22 [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ?
% 70.89/10.22 [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ?
% 70.89/10.22 [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ?
% 70.89/10.22 [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ?
% 70.89/10.22 [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ?
% 70.89/10.22 [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80: $i] : ? [v81: $i] : ?
% 70.89/10.22 [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85: $i] : ? [v86: $i] : ?
% 70.89/10.22 [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90: $i] : ? [v91: $i] : ?
% 70.89/10.22 [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ?
% 70.89/10.22 [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ?
% 70.89/10.22 [v102: $i] : ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] :
% 70.89/10.22 ? [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111: $i] :
% 70.89/10.22 ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : (op(v24, e4) = v113 & op(v24,
% 70.89/10.22 e3) = v112 & op(v23, e4) = v111 & op(v23, e2) = v110 & op(v22, e4) = v109
% 70.89/10.22 & op(v22, e1) = v108 & op(v21, e4) = v107 & op(v21, e0) = v106 & op(v20, e4)
% 70.89/10.22 = v104 & op(v20, e3) = v105 & op(v19, e3) = v102 & op(v19, e2) = v101 &
% 70.89/10.22 op(v18, e3) = v100 & op(v18, e1) = v99 & op(v17, e3) = v98 & op(v17, e0) =
% 70.89/10.22 v97 & op(v16, e4) = v95 & op(v16, e2) = v96 & op(v15, e3) = v93 & op(v15,
% 70.89/10.22 e2) = v94 & op(v14, e2) = v91 & op(v14, e1) = v90 & op(v13, e2) = v89 &
% 70.89/10.22 op(v13, e0) = v88 & op(v12, e4) = v86 & op(v12, e1) = v87 & op(v11, e3) =
% 70.89/10.22 v84 & op(v11, e1) = v85 & op(v10, e2) = v82 & op(v10, e1) = v83 & op(v9, e1)
% 70.89/10.22 = v80 & op(v9, e0) = v79 & op(v8, e4) = v77 & op(v8, e0) = v78 & op(v7, e3)
% 70.89/10.22 = v75 & op(v7, e0) = v76 & op(v6, e2) = v73 & op(v6, e0) = v74 & op(v5, e1)
% 70.89/10.22 = v71 & op(v5, e0) = v72 & op(v4, e4) = v114 & op(v3, e3) = v103 & op(v2,
% 70.89/10.22 e2) = v92 & op(v1, e1) = v81 & op(v0, e0) = v70 & op(e4, v24) = v59 &
% 70.89/10.22 op(e4, v23) = v50 & op(e4, v22) = v41 & op(e4, v21) = v32 & op(e4, v20) =
% 70.89/10.22 v68 & op(e4, v16) = v66 & op(e4, v12) = v64 & op(e4, v8) = v62 & op(e4, v4)
% 70.89/10.22 = v69 & op(e4, e4) = v4 & op(e4, e3) = v24 & op(e4, e2) = v23 & op(e4, e1) =
% 70.89/10.22 v22 & op(e4, e0) = v21 & op(e3, v24) = v60 & op(e3, v20) = v67 & op(e3, v19)
% 70.89/10.22 = v48 & op(e3, v18) = v39 & op(e3, v17) = v30 & op(e3, v15) = v57 & op(e3,
% 70.89/10.22 v11) = v55 & op(e3, v7) = v53 & op(e3, v3) = v58 & op(e3, e4) = v20 &
% 70.89/10.22 op(e3, e3) = v3 & op(e3, e2) = v19 & op(e3, e1) = v18 & op(e3, e0) = v17 &
% 70.89/10.22 op(e2, v23) = v51 & op(e2, v19) = v49 & op(e2, v16) = v65 & op(e2, v15) =
% 70.89/10.22 v56 & op(e2, v14) = v37 & op(e2, v13) = v28 & op(e2, v10) = v46 & op(e2, v6)
% 70.89/10.22 = v44 & op(e2, v2) = v47 & op(e2, e4) = v16 & op(e2, e3) = v15 & op(e2, e2)
% 70.89/10.22 = v2 & op(e2, e1) = v14 & op(e2, e0) = v13 & op(e1, v22) = v42 & op(e1, v18)
% 70.89/10.22 = v40 & op(e1, v14) = v38 & op(e1, v12) = v63 & op(e1, v11) = v54 & op(e1,
% 70.89/10.22 v10) = v45 & op(e1, v9) = v26 & op(e1, v5) = v35 & op(e1, v1) = v36 &
% 70.89/10.22 op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = v1 &
% 70.89/10.22 op(e1, e0) = v9 & op(e0, v21) = v33 & op(e0, v17) = v31 & op(e0, v13) = v29
% 70.89/10.22 & op(e0, v9) = v27 & op(e0, v8) = v61 & op(e0, v7) = v52 & op(e0, v6) = v43
% 70.89/10.22 & op(e0, v5) = v34 & op(e0, v0) = v25 & op(e0, e4) = v8 & op(e0, e3) = v7 &
% 70.89/10.22 op(e0, e2) = v6 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v114) & $i(v113) &
% 70.89/10.22 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 70.89/10.22 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 70.89/10.22 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 70.89/10.22 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 70.89/10.23 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 70.89/10.23 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 70.89/10.23 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 70.89/10.23 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 70.89/10.23 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 70.89/10.23 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 70.89/10.23 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 70.89/10.23 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 70.89/10.23 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 70.89/10.23 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 70.89/10.23 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 70.89/10.23 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v112 =
% 70.89/10.23 e4) | v113 = e3 | v24 = v20) & ( ~ (v110 = e4) | v111 = e2 | v23 = v16)
% 70.89/10.23 & ( ~ (v108 = e4) | v109 = e1 | v22 = v12) & ( ~ (v106 = e4) | v107 = e0 |
% 70.89/10.23 v21 = v8) & ( ~ (v104 = e3) | v105 = e4 | v24 = v20) & ( ~ (v101 = e3) |
% 70.89/10.23 v102 = e2 | v19 = v15) & ( ~ (v99 = e3) | v100 = e1 | v18 = v11) & ( ~
% 70.89/10.23 (v97 = e3) | v98 = e0 | v17 = v7) & ( ~ (v95 = e2) | v96 = e4 | v23 = v16)
% 70.89/10.23 & ( ~ (v93 = e2) | v94 = e3 | v19 = v15) & ( ~ (v90 = e2) | v91 = e1 | v14 =
% 70.89/10.23 v10) & ( ~ (v88 = e2) | v89 = e0 | v13 = v6) & ( ~ (v86 = e1) | v87 = e4 |
% 70.89/10.23 v22 = v12) & ( ~ (v84 = e1) | v85 = e3 | v18 = v11) & ( ~ (v82 = e1) | v83
% 70.89/10.23 = e2 | v14 = v10) & ( ~ (v79 = e1) | v80 = e0 | v9 = v5) & ( ~ (v77 = e0)
% 70.89/10.23 | v78 = e4 | v21 = v8) & ( ~ (v75 = e0) | v76 = e3 | v17 = v7) & ( ~ (v73
% 70.89/10.23 = e0) | v74 = e2 | v13 = v6) & ( ~ (v71 = e0) | v72 = e1 | v9 = v5) & (
% 70.89/10.23 ~ (v4 = e3) | ~ (v3 = e4) | v24 = e4) & ( ~ (v4 = e3) | ~ (v3 = e4) |
% 70.89/10.23 v20 = e3) & ( ~ (v4 = e2) | ~ (v2 = e4) | v23 = e4) & ( ~ (v4 = e2) | ~
% 70.89/10.23 (v2 = e4) | v16 = e2) & ( ~ (v4 = e1) | ~ (v1 = e4) | v22 = e4) & ( ~ (v4
% 70.89/10.23 = e1) | ~ (v1 = e4) | v12 = e1) & ( ~ (v4 = e0) | ~ (v0 = e4) | v21 =
% 70.89/10.23 e4) & ( ~ (v4 = e0) | ~ (v0 = e4) | v8 = e0) & ( ~ (v3 = e2) | ~ (v2 =
% 70.89/10.23 e3) | v19 = e3) & ( ~ (v3 = e2) | ~ (v2 = e3) | v15 = e2) & ( ~ (v3 =
% 70.89/10.23 e1) | ~ (v1 = e3) | v18 = e3) & ( ~ (v3 = e1) | ~ (v1 = e3) | v11 =
% 70.89/10.23 e1) & ( ~ (v3 = e0) | ~ (v0 = e3) | v17 = e3) & ( ~ (v3 = e0) | ~ (v0 =
% 70.89/10.23 e3) | v7 = e0) & ( ~ (v2 = e1) | ~ (v1 = e2) | v14 = e2) & ( ~ (v2 =
% 70.89/10.23 e1) | ~ (v1 = e2) | v10 = e1) & ( ~ (v2 = e0) | ~ (v0 = e2) | v13 =
% 70.89/10.23 e2) & ( ~ (v2 = e0) | ~ (v0 = e2) | v6 = e0) & ( ~ (v1 = e0) | ~ (v0 =
% 70.89/10.23 e1) | v9 = e1) & ( ~ (v1 = e0) | ~ (v0 = e1) | v5 = e0) & ((v24 = e4 &
% 70.89/10.23 ( ~ (v4 = e3) | unit = e4)) | (v23 = e4 & ( ~ (v4 = e2) | unit = e4)) |
% 70.89/10.23 (v22 = e4 & ( ~ (v4 = e1) | unit = e4)) | (v21 = e4 & ( ~ (v4 = e0) | unit
% 70.89/10.23 = e4)) | (v20 = e4 & unit = e4) | (v19 = e4 & ( ~ (v20 = e2) | unit =
% 70.89/10.23 e4)) | (v18 = e4 & ( ~ (v20 = e1) | unit = e4)) | (v17 = e4 & ( ~ (v20
% 70.89/10.23 = e0) | unit = e4)) | (v16 = e4 & unit = e4) | (v15 = e4 & ( ~ (v16
% 70.89/10.23 = e3) | unit = e4)) | (v14 = e4 & ( ~ (v16 = e1) | unit = e4)) |
% 70.89/10.23 (v13 = e4 & ( ~ (v16 = e0) | unit = e4)) | (v12 = e4 & unit = e4) | (v11 =
% 70.89/10.23 e4 & ( ~ (v12 = e3) | unit = e4)) | (v10 = e4 & ( ~ (v12 = e2) | unit =
% 70.89/10.23 e4)) | (v9 = e4 & ( ~ (v12 = e0) | unit = e4)) | (v8 = e4 & unit = e4)
% 70.89/10.23 | (v7 = e4 & ( ~ (v8 = e3) | unit = e4)) | (v6 = e4 & ( ~ (v8 = e2) | unit
% 70.89/10.23 = e4)) | (v5 = e4 & ( ~ (v8 = e1) | unit = e4)) | (v4 = e4 & unit =
% 70.89/10.23 e4) | (v3 = e4 & ( ~ (v20 = e3) | unit = e4)) | (v2 = e4 & ( ~ (v16 =
% 70.89/10.23 e2) | unit = e4)) | (v1 = e4 & ( ~ (v12 = e1) | unit = e4)) | (v0 =
% 70.89/10.23 e4 & ( ~ (v8 = e0) | unit = e4))) & ((v24 = e3 & unit = e3) | (v23 = e3
% 70.89/10.23 & ( ~ (v24 = e2) | unit = e3)) | (v22 = e3 & ( ~ (v24 = e1) | unit =
% 70.89/10.23 e3)) | (v21 = e3 & ( ~ (v24 = e0) | unit = e3)) | (v20 = e3 & ( ~ (v3
% 70.89/10.23 = e4) | unit = e3)) | (v19 = e3 & ( ~ (v3 = e2) | unit = e3)) | (v18
% 70.89/10.23 = e3 & ( ~ (v3 = e1) | unit = e3)) | (v17 = e3 & ( ~ (v3 = e0) | unit =
% 70.89/10.23 e3)) | (v16 = e3 & ( ~ (v15 = e4) | unit = e3)) | (v15 = e3 & unit =
% 70.89/10.23 e3) | (v14 = e3 & ( ~ (v15 = e1) | unit = e3)) | (v13 = e3 & ( ~ (v15 =
% 70.89/10.23 e0) | unit = e3)) | (v12 = e3 & ( ~ (v11 = e4) | unit = e3)) | (v11
% 70.89/10.23 = e3 & unit = e3) | (v10 = e3 & ( ~ (v11 = e2) | unit = e3)) | (v9 = e3
% 70.89/10.23 & ( ~ (v11 = e0) | unit = e3)) | (v8 = e3 & ( ~ (v7 = e4) | unit = e3))
% 70.89/10.23 | (v7 = e3 & unit = e3) | (v6 = e3 & ( ~ (v7 = e2) | unit = e3)) | (v5 =
% 70.89/10.23 e3 & ( ~ (v7 = e1) | unit = e3)) | (v4 = e3 & ( ~ (v24 = e4) | unit =
% 70.89/10.23 e3)) | (v3 = e3 & unit = e3) | (v2 = e3 & ( ~ (v15 = e2) | unit = e3))
% 70.89/10.23 | (v1 = e3 & ( ~ (v11 = e1) | unit = e3)) | (v0 = e3 & ( ~ (v7 = e0) |
% 70.89/10.23 unit = e3))) & ((v24 = e2 & ( ~ (v23 = e3) | unit = e2)) | (v23 = e2 &
% 70.89/10.23 unit = e2) | (v22 = e2 & ( ~ (v23 = e1) | unit = e2)) | (v21 = e2 & ( ~
% 70.89/10.23 (v23 = e0) | unit = e2)) | (v20 = e2 & ( ~ (v19 = e4) | unit = e2)) |
% 70.89/10.23 (v19 = e2 & unit = e2) | (v18 = e2 & ( ~ (v19 = e1) | unit = e2)) | (v17 =
% 70.89/10.23 e2 & ( ~ (v19 = e0) | unit = e2)) | (v16 = e2 & ( ~ (v2 = e4) | unit =
% 70.89/10.23 e2)) | (v15 = e2 & ( ~ (v2 = e3) | unit = e2)) | (v14 = e2 & ( ~ (v2 =
% 70.89/10.23 e1) | unit = e2)) | (v13 = e2 & ( ~ (v2 = e0) | unit = e2)) | (v12 =
% 70.89/10.23 e2 & ( ~ (v10 = e4) | unit = e2)) | (v11 = e2 & ( ~ (v10 = e3) | unit =
% 70.89/10.23 e2)) | (v10 = e2 & unit = e2) | (v9 = e2 & ( ~ (v10 = e0) | unit =
% 70.89/10.23 e2)) | (v8 = e2 & ( ~ (v6 = e4) | unit = e2)) | (v7 = e2 & ( ~ (v6 =
% 70.89/10.23 e3) | unit = e2)) | (v6 = e2 & unit = e2) | (v5 = e2 & ( ~ (v6 = e1)
% 70.89/10.23 | unit = e2)) | (v4 = e2 & ( ~ (v23 = e4) | unit = e2)) | (v3 = e2 & (
% 70.89/10.23 ~ (v19 = e3) | unit = e2)) | (v2 = e2 & unit = e2) | (v1 = e2 & ( ~
% 70.89/10.23 (v10 = e1) | unit = e2)) | (v0 = e2 & ( ~ (v6 = e0) | unit = e2))) &
% 70.89/10.23 ((v24 = e1 & ( ~ (v22 = e3) | unit = e1)) | (v23 = e1 & ( ~ (v22 = e2) |
% 70.89/10.23 unit = e1)) | (v22 = e1 & unit = e1) | (v21 = e1 & ( ~ (v22 = e0) |
% 70.89/10.23 unit = e1)) | (v20 = e1 & ( ~ (v18 = e4) | unit = e1)) | (v19 = e1 & (
% 70.89/10.23 ~ (v18 = e2) | unit = e1)) | (v18 = e1 & unit = e1) | (v17 = e1 & ( ~
% 70.89/10.23 (v18 = e0) | unit = e1)) | (v16 = e1 & ( ~ (v14 = e4) | unit = e1)) |
% 70.89/10.23 (v15 = e1 & ( ~ (v14 = e3) | unit = e1)) | (v14 = e1 & unit = e1) | (v13 =
% 70.89/10.23 e1 & ( ~ (v14 = e0) | unit = e1)) | (v12 = e1 & ( ~ (v1 = e4) | unit =
% 70.89/10.23 e1)) | (v11 = e1 & ( ~ (v1 = e3) | unit = e1)) | (v10 = e1 & ( ~ (v1 =
% 70.89/10.23 e2) | unit = e1)) | (v9 = e1 & ( ~ (v1 = e0) | unit = e1)) | (v8 =
% 70.89/10.23 e1 & ( ~ (v5 = e4) | unit = e1)) | (v7 = e1 & ( ~ (v5 = e3) | unit =
% 70.89/10.23 e1)) | (v6 = e1 & ( ~ (v5 = e2) | unit = e1)) | (v5 = e1 & unit = e1)
% 70.89/10.23 | (v4 = e1 & ( ~ (v22 = e4) | unit = e1)) | (v3 = e1 & ( ~ (v18 = e3) |
% 70.89/10.23 unit = e1)) | (v2 = e1 & ( ~ (v14 = e2) | unit = e1)) | (v1 = e1 &
% 70.89/10.23 unit = e1) | (v0 = e1 & ( ~ (v5 = e0) | unit = e1))) & ((v24 = e0 & ( ~
% 70.89/10.23 (v21 = e3) | unit = e0)) | (v23 = e0 & ( ~ (v21 = e2) | unit = e0)) |
% 70.89/10.23 (v22 = e0 & ( ~ (v21 = e1) | unit = e0)) | (v21 = e0 & unit = e0) | (v20 =
% 70.89/10.23 e0 & ( ~ (v17 = e4) | unit = e0)) | (v19 = e0 & ( ~ (v17 = e2) | unit =
% 70.89/10.23 e0)) | (v18 = e0 & ( ~ (v17 = e1) | unit = e0)) | (v17 = e0 & unit =
% 70.89/10.23 e0) | (v16 = e0 & ( ~ (v13 = e4) | unit = e0)) | (v15 = e0 & ( ~ (v13 =
% 70.89/10.23 e3) | unit = e0)) | (v14 = e0 & ( ~ (v13 = e1) | unit = e0)) | (v13
% 70.89/10.23 = e0 & unit = e0) | (v12 = e0 & ( ~ (v9 = e4) | unit = e0)) | (v11 = e0
% 70.89/10.23 & ( ~ (v9 = e3) | unit = e0)) | (v10 = e0 & ( ~ (v9 = e2) | unit = e0))
% 70.89/10.23 | (v9 = e0 & unit = e0) | (v8 = e0 & ( ~ (v0 = e4) | unit = e0)) | (v7 =
% 70.89/10.23 e0 & ( ~ (v0 = e3) | unit = e0)) | (v6 = e0 & ( ~ (v0 = e2) | unit =
% 70.89/10.23 e0)) | (v5 = e0 & ( ~ (v0 = e1) | unit = e0)) | (v4 = e0 & ( ~ (v21 =
% 70.89/10.23 e4) | unit = e0)) | (v3 = e0 & ( ~ (v17 = e3) | unit = e0)) | (v2 =
% 70.89/10.23 e0 & ( ~ (v13 = e2) | unit = e0)) | (v1 = e0 & ( ~ (v9 = e1) | unit =
% 70.89/10.23 e0)) | (v0 = e0 & unit = e0)) & ((v4 = e3 & ~ (v24 = e4)) | (v4 = e2
% 70.89/10.23 & ~ (v23 = e4)) | (v4 = e1 & ~ (v22 = e4)) | (v4 = e0 & ~ (v21 = e4))
% 70.89/10.23 | (v3 = e4 & ~ (v20 = e3)) | (v3 = e2 & ~ (v19 = e3)) | (v3 = e1 & ~
% 70.89/10.23 (v18 = e3)) | (v3 = e0 & ~ (v17 = e3)) | (v2 = e4 & ~ (v16 = e2)) |
% 70.89/10.23 (v2 = e3 & ~ (v15 = e2)) | (v2 = e1 & ~ (v14 = e2)) | (v2 = e0 & ~ (v13
% 70.89/10.23 = e2)) | (v1 = e4 & ~ (v12 = e1)) | (v1 = e3 & ~ (v11 = e1)) | (v1 =
% 70.89/10.23 e2 & ~ (v10 = e1)) | (v1 = e0 & ~ (v9 = e1)) | (v0 = e4 & ~ (v8 =
% 70.89/10.23 e0)) | (v0 = e3 & ~ (v7 = e0)) | (v0 = e2 & ~ (v6 = e0)) | (v0 = e1
% 70.89/10.23 & ~ (v5 = e0))) & (( ~ (v4 = e4) & ~ (v3 = e4) & ~ (v2 = e4) & ~ (v1
% 70.89/10.23 = e4) & ~ (v0 = e4)) | ( ~ (v4 = e3) & ~ (v3 = e3) & ~ (v2 = e3) &
% 70.89/10.23 ~ (v1 = e3) & ~ (v0 = e3)) | ( ~ (v4 = e2) & ~ (v3 = e2) & ~ (v2 =
% 70.89/10.23 e2) & ~ (v1 = e2) & ~ (v0 = e2)) | ( ~ (v4 = e1) & ~ (v3 = e1) & ~
% 70.89/10.23 (v2 = e1) & ~ (v1 = e1) & ~ (v0 = e1)) | ( ~ (v4 = e0) & ~ (v3 = e0)
% 70.89/10.23 & ~ (v2 = e0) & ~ (v1 = e0) & ~ (v0 = e0))) & ((( ~ (v68 = e3) | v67
% 70.89/10.23 = e4) & ( ~ (v66 = e2) | v65 = e4) & ( ~ (v64 = e1) | v63 = e4) & ( ~
% 70.89/10.23 (v62 = e0) | v61 = e4)) | (( ~ (v60 = e4) | v59 = e3) & ( ~ (v57 = e2)
% 70.89/10.23 | v56 = e3) & ( ~ (v55 = e1) | v54 = e3) & ( ~ (v53 = e0) | v52 = e3))
% 70.89/10.23 | (( ~ (v51 = e4) | v50 = e2) & ( ~ (v49 = e3) | v48 = e2) & ( ~ (v46 =
% 70.89/10.23 e1) | v45 = e2) & ( ~ (v44 = e0) | v43 = e2)) | (( ~ (v42 = e4) |
% 70.89/10.23 v41 = e1) & ( ~ (v40 = e3) | v39 = e1) & ( ~ (v38 = e2) | v37 = e1) &
% 70.89/10.23 ( ~ (v35 = e0) | v34 = e1)) | (( ~ (v33 = e4) | v32 = e0) & ( ~ (v31 =
% 70.89/10.23 e3) | v30 = e0) & ( ~ (v29 = e2) | v28 = e0) & ( ~ (v27 = e1) | v26
% 70.89/10.23 = e0))))
% 70.89/10.23
% 70.89/10.23 (function-axioms)
% 70.89/10.23 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 70.89/10.23 v2) = v1) | ~ (op(v3, v2) = v0))
% 70.89/10.23
% 70.89/10.23 Further assumptions not needed in the proof:
% 70.89/10.23 --------------------------------------------
% 70.89/10.23 ax6
% 70.89/10.23
% 70.89/10.23 Those formulas are unsatisfiable:
% 70.89/10.23 ---------------------------------
% 70.89/10.23
% 70.89/10.23 Begin of proof
% 70.89/10.23 |
% 70.89/10.23 | ALPHA: (ax1) implies:
% 71.12/10.24 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 71.12/10.24 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 71.12/10.24 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 71.12/10.24 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 71.12/10.24 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 71.12/10.24 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 &
% 71.12/10.24 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) =
% 71.12/10.24 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2,
% 71.12/10.24 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11
% 71.12/10.24 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) =
% 71.12/10.24 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3)
% 71.12/10.24 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24)
% 71.12/10.24 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17)
% 71.12/10.24 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 71.12/10.24 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 71.12/10.24 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1
% 71.12/10.24 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 =
% 71.12/10.24 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21
% 71.12/10.24 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20
% 71.12/10.24 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19
% 71.12/10.24 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18
% 71.12/10.24 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17
% 71.12/10.24 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) &
% 71.12/10.24 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 |
% 71.12/10.24 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 |
% 71.12/10.24 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 |
% 71.12/10.24 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 |
% 71.12/10.24 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0)
% 71.12/10.24 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 =
% 71.12/10.24 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 |
% 71.12/10.24 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 =
% 71.12/10.24 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4
% 71.12/10.24 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3
% 71.12/10.24 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1
% 71.12/10.24 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) &
% 71.12/10.24 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 71.12/10.24 |
% 71.12/10.24 | ALPHA: (ax2) implies:
% 71.12/10.24 | (2) op(e0, unit) = e0
% 71.12/10.24 | (3) op(e1, unit) = e1
% 71.12/10.24 | (4) op(e2, unit) = e2
% 71.12/10.24 | (5) op(e3, unit) = e3
% 71.12/10.24 | (6) op(e4, unit) = e4
% 71.14/10.24 | (7) op(unit, e1) = e1
% 71.14/10.24 | (8) op(unit, e2) = e2
% 71.14/10.24 | (9) op(unit, e3) = e3
% 71.14/10.24 | (10) op(unit, e4) = e4
% 71.14/10.24 |
% 71.14/10.24 | ALPHA: (ax3) implies:
% 71.14/10.26 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 71.14/10.26 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 71.14/10.26 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 71.14/10.26 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 71.14/10.26 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 71.14/10.26 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) =
% 71.14/10.26 | v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3,
% 71.14/10.26 | e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7
% 71.14/10.26 | & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2,
% 71.14/10.26 | e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11
% 71.14/10.26 | & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4)
% 71.14/10.26 | = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0,
% 71.14/10.26 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 71.14/10.26 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13)
% 71.14/10.26 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 71.14/10.26 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 |
% 71.14/10.26 | v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 |
% 71.14/10.26 | v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 |
% 71.14/10.26 | v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 |
% 71.14/10.26 | v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) &
% 71.14/10.26 | (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 |
% 71.14/10.26 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 |
% 71.14/10.26 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 |
% 71.14/10.26 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 |
% 71.14/10.26 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) &
% 71.14/10.26 | (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 |
% 71.14/10.26 | v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 |
% 71.14/10.26 | v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 |
% 71.14/10.26 | v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 |
% 71.14/10.26 | v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) &
% 71.14/10.26 | (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 |
% 71.14/10.26 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 |
% 71.14/10.26 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 |
% 71.14/10.26 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 |
% 71.14/10.26 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) &
% 71.14/10.26 | (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 |
% 71.14/10.26 | v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 |
% 71.14/10.26 | v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 |
% 71.14/10.26 | v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 |
% 71.14/10.26 | v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) &
% 71.14/10.26 | (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 |
% 71.14/10.26 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 |
% 71.14/10.26 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 |
% 71.14/10.26 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 |
% 71.14/10.26 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) &
% 71.14/10.26 | (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 |
% 71.14/10.26 | v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 |
% 71.14/10.26 | v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 |
% 71.14/10.26 | v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 |
% 71.14/10.26 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8
% 71.14/10.26 | = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2
% 71.14/10.26 | | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5
% 71.14/10.26 | = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 =
% 71.14/10.26 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2
% 71.14/10.26 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2
% 71.14/10.26 | = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 =
% 71.14/10.26 | e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0))))
% 71.14/10.26 |
% 71.14/10.26 | ALPHA: (ax4) implies:
% 71.14/10.26 | (12) unit = e0
% 71.14/10.26 |
% 71.14/10.26 | ALPHA: (ax5) implies:
% 71.14/10.27 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 71.14/10.27 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 71.14/10.27 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 71.14/10.27 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 71.14/10.27 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 71.14/10.27 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) &
% 71.14/10.27 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~
% 71.14/10.27 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~
% 71.14/10.27 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~
% 71.14/10.27 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~
% 71.14/10.27 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~
% 71.14/10.27 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~
% 71.14/10.27 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~
% 71.14/10.27 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~
% 71.14/10.27 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~
% 71.14/10.27 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~
% 71.14/10.27 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~
% 71.14/10.27 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~
% 71.14/10.27 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~
% 71.14/10.27 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~
% 71.14/10.27 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~
% 71.14/10.27 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~
% 71.14/10.27 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~
% 71.14/10.27 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9
% 71.14/10.27 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4)
% 71.14/10.27 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7
% 71.14/10.27 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1)
% 71.14/10.27 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4
% 71.14/10.27 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1)
% 71.14/10.27 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19
% 71.14/10.27 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4)
% 71.14/10.27 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 &
% 71.14/10.27 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) =
% 71.14/10.27 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1,
% 71.14/10.27 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 &
% 71.14/10.27 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1)
% 71.14/10.27 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 71.14/10.27 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 71.14/10.27 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 71.14/10.27 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 71.14/10.27 |
% 71.14/10.27 | ALPHA: (co1) implies:
% 71.14/10.30 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 71.14/10.30 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 71.14/10.30 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 71.14/10.30 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 71.14/10.30 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 71.14/10.30 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 71.14/10.30 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 71.14/10.30 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 71.14/10.30 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 71.14/10.30 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 71.14/10.30 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 71.14/10.30 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 71.14/10.30 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 71.14/10.30 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 71.14/10.30 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 71.14/10.30 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 71.14/10.30 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 71.14/10.30 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 71.14/10.30 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 71.14/10.30 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 71.14/10.30 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 71.14/10.30 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 71.14/10.30 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 71.14/10.30 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 71.14/10.30 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : (op(v24, e4) =
% 71.14/10.30 | v113 & op(v24, e3) = v112 & op(v23, e4) = v111 & op(v23, e2) = v110
% 71.14/10.30 | & op(v22, e4) = v109 & op(v22, e1) = v108 & op(v21, e4) = v107 &
% 71.14/10.30 | op(v21, e0) = v106 & op(v20, e4) = v104 & op(v20, e3) = v105 &
% 71.14/10.30 | op(v19, e3) = v102 & op(v19, e2) = v101 & op(v18, e3) = v100 &
% 71.14/10.30 | op(v18, e1) = v99 & op(v17, e3) = v98 & op(v17, e0) = v97 & op(v16,
% 71.14/10.30 | e4) = v95 & op(v16, e2) = v96 & op(v15, e3) = v93 & op(v15, e2) =
% 71.14/10.30 | v94 & op(v14, e2) = v91 & op(v14, e1) = v90 & op(v13, e2) = v89 &
% 71.14/10.30 | op(v13, e0) = v88 & op(v12, e4) = v86 & op(v12, e1) = v87 & op(v11,
% 71.14/10.30 | e3) = v84 & op(v11, e1) = v85 & op(v10, e2) = v82 & op(v10, e1) =
% 71.14/10.30 | v83 & op(v9, e1) = v80 & op(v9, e0) = v79 & op(v8, e4) = v77 &
% 71.14/10.30 | op(v8, e0) = v78 & op(v7, e3) = v75 & op(v7, e0) = v76 & op(v6, e2)
% 71.14/10.30 | = v73 & op(v6, e0) = v74 & op(v5, e1) = v71 & op(v5, e0) = v72 &
% 71.14/10.30 | op(v4, e4) = v114 & op(v3, e3) = v103 & op(v2, e2) = v92 & op(v1,
% 71.14/10.30 | e1) = v81 & op(v0, e0) = v70 & op(e4, v24) = v59 & op(e4, v23) =
% 71.14/10.30 | v50 & op(e4, v22) = v41 & op(e4, v21) = v32 & op(e4, v20) = v68 &
% 71.14/10.30 | op(e4, v16) = v66 & op(e4, v12) = v64 & op(e4, v8) = v62 & op(e4,
% 71.14/10.30 | v4) = v69 & op(e4, e4) = v4 & op(e4, e3) = v24 & op(e4, e2) = v23
% 71.14/10.30 | & op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, v24) = v60 & op(e3,
% 71.14/10.30 | v20) = v67 & op(e3, v19) = v48 & op(e3, v18) = v39 & op(e3, v17) =
% 71.14/10.30 | v30 & op(e3, v15) = v57 & op(e3, v11) = v55 & op(e3, v7) = v53 &
% 71.14/10.30 | op(e3, v3) = v58 & op(e3, e4) = v20 & op(e3, e3) = v3 & op(e3, e2) =
% 71.14/10.30 | v19 & op(e3, e1) = v18 & op(e3, e0) = v17 & op(e2, v23) = v51 &
% 71.14/10.30 | op(e2, v19) = v49 & op(e2, v16) = v65 & op(e2, v15) = v56 & op(e2,
% 71.14/10.30 | v14) = v37 & op(e2, v13) = v28 & op(e2, v10) = v46 & op(e2, v6) =
% 71.14/10.30 | v44 & op(e2, v2) = v47 & op(e2, e4) = v16 & op(e2, e3) = v15 &
% 71.14/10.30 | op(e2, e2) = v2 & op(e2, e1) = v14 & op(e2, e0) = v13 & op(e1, v22)
% 71.14/10.30 | = v42 & op(e1, v18) = v40 & op(e1, v14) = v38 & op(e1, v12) = v63 &
% 71.14/10.30 | op(e1, v11) = v54 & op(e1, v10) = v45 & op(e1, v9) = v26 & op(e1,
% 71.14/10.30 | v5) = v35 & op(e1, v1) = v36 & op(e1, e4) = v12 & op(e1, e3) = v11
% 71.14/10.30 | & op(e1, e2) = v10 & op(e1, e1) = v1 & op(e1, e0) = v9 & op(e0, v21)
% 71.14/10.30 | = v33 & op(e0, v17) = v31 & op(e0, v13) = v29 & op(e0, v9) = v27 &
% 71.14/10.30 | op(e0, v8) = v61 & op(e0, v7) = v52 & op(e0, v6) = v43 & op(e0, v5)
% 71.14/10.30 | = v34 & op(e0, v0) = v25 & op(e0, e4) = v8 & op(e0, e3) = v7 &
% 71.14/10.30 | op(e0, e2) = v6 & op(e0, e1) = v5 & op(e0, e0) = v0 & $i(v114) &
% 71.14/10.30 | $i(v113) & $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) &
% 71.14/10.30 | $i(v107) & $i(v106) & $i(v105) & $i(v104) & $i(v103) & $i(v102) &
% 71.14/10.30 | $i(v101) & $i(v100) & $i(v99) & $i(v98) & $i(v97) & $i(v96) &
% 71.14/10.30 | $i(v95) & $i(v94) & $i(v93) & $i(v92) & $i(v91) & $i(v90) & $i(v89)
% 71.14/10.30 | & $i(v88) & $i(v87) & $i(v86) & $i(v85) & $i(v84) & $i(v83) &
% 71.14/10.30 | $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) & $i(v77) & $i(v76)
% 71.14/10.30 | & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) & $i(v70) &
% 71.14/10.30 | $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63)
% 71.14/10.30 | & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 71.14/10.30 | $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50)
% 71.14/10.30 | & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 71.14/10.30 | $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37)
% 71.14/10.30 | & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) &
% 71.14/10.30 | $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24)
% 71.14/10.30 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 71.14/10.30 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 71.14/10.30 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 71.14/10.30 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v112 = e4) | v113 = e3 |
% 71.14/10.30 | v24 = v20) & ( ~ (v110 = e4) | v111 = e2 | v23 = v16) & ( ~ (v108
% 71.14/10.30 | = e4) | v109 = e1 | v22 = v12) & ( ~ (v106 = e4) | v107 = e0 |
% 71.14/10.30 | v21 = v8) & ( ~ (v104 = e3) | v105 = e4 | v24 = v20) & ( ~ (v101 =
% 71.14/10.30 | e3) | v102 = e2 | v19 = v15) & ( ~ (v99 = e3) | v100 = e1 | v18
% 71.14/10.30 | = v11) & ( ~ (v97 = e3) | v98 = e0 | v17 = v7) & ( ~ (v95 = e2) |
% 71.14/10.30 | v96 = e4 | v23 = v16) & ( ~ (v93 = e2) | v94 = e3 | v19 = v15) & (
% 71.14/10.30 | ~ (v90 = e2) | v91 = e1 | v14 = v10) & ( ~ (v88 = e2) | v89 = e0 |
% 71.14/10.30 | v13 = v6) & ( ~ (v86 = e1) | v87 = e4 | v22 = v12) & ( ~ (v84 =
% 71.14/10.30 | e1) | v85 = e3 | v18 = v11) & ( ~ (v82 = e1) | v83 = e2 | v14 =
% 71.14/10.30 | v10) & ( ~ (v79 = e1) | v80 = e0 | v9 = v5) & ( ~ (v77 = e0) | v78
% 71.14/10.30 | = e4 | v21 = v8) & ( ~ (v75 = e0) | v76 = e3 | v17 = v7) & ( ~
% 71.14/10.30 | (v73 = e0) | v74 = e2 | v13 = v6) & ( ~ (v71 = e0) | v72 = e1 | v9
% 71.14/10.30 | = v5) & ( ~ (v4 = e3) | ~ (v3 = e4) | v24 = e4) & ( ~ (v4 = e3) |
% 71.14/10.30 | ~ (v3 = e4) | v20 = e3) & ( ~ (v4 = e2) | ~ (v2 = e4) | v23 =
% 71.14/10.30 | e4) & ( ~ (v4 = e2) | ~ (v2 = e4) | v16 = e2) & ( ~ (v4 = e1) |
% 71.14/10.30 | ~ (v1 = e4) | v22 = e4) & ( ~ (v4 = e1) | ~ (v1 = e4) | v12 = e1)
% 71.14/10.30 | & ( ~ (v4 = e0) | ~ (v0 = e4) | v21 = e4) & ( ~ (v4 = e0) | ~ (v0
% 71.14/10.30 | = e4) | v8 = e0) & ( ~ (v3 = e2) | ~ (v2 = e3) | v19 = e3) & (
% 71.14/10.30 | ~ (v3 = e2) | ~ (v2 = e3) | v15 = e2) & ( ~ (v3 = e1) | ~ (v1 =
% 71.14/10.30 | e3) | v18 = e3) & ( ~ (v3 = e1) | ~ (v1 = e3) | v11 = e1) & ( ~
% 71.14/10.30 | (v3 = e0) | ~ (v0 = e3) | v17 = e3) & ( ~ (v3 = e0) | ~ (v0 =
% 71.14/10.30 | e3) | v7 = e0) & ( ~ (v2 = e1) | ~ (v1 = e2) | v14 = e2) & ( ~
% 71.14/10.30 | (v2 = e1) | ~ (v1 = e2) | v10 = e1) & ( ~ (v2 = e0) | ~ (v0 =
% 71.14/10.30 | e2) | v13 = e2) & ( ~ (v2 = e0) | ~ (v0 = e2) | v6 = e0) & ( ~
% 71.14/10.30 | (v1 = e0) | ~ (v0 = e1) | v9 = e1) & ( ~ (v1 = e0) | ~ (v0 = e1)
% 71.14/10.30 | | v5 = e0) & ((v24 = e4 & ( ~ (v4 = e3) | unit = e4)) | (v23 = e4
% 71.14/10.30 | & ( ~ (v4 = e2) | unit = e4)) | (v22 = e4 & ( ~ (v4 = e1) | unit
% 71.14/10.30 | = e4)) | (v21 = e4 & ( ~ (v4 = e0) | unit = e4)) | (v20 = e4 &
% 71.14/10.30 | unit = e4) | (v19 = e4 & ( ~ (v20 = e2) | unit = e4)) | (v18 =
% 71.14/10.30 | e4 & ( ~ (v20 = e1) | unit = e4)) | (v17 = e4 & ( ~ (v20 = e0) |
% 71.14/10.30 | unit = e4)) | (v16 = e4 & unit = e4) | (v15 = e4 & ( ~ (v16 =
% 71.14/10.30 | e3) | unit = e4)) | (v14 = e4 & ( ~ (v16 = e1) | unit = e4))
% 71.14/10.30 | | (v13 = e4 & ( ~ (v16 = e0) | unit = e4)) | (v12 = e4 & unit =
% 71.14/10.30 | e4) | (v11 = e4 & ( ~ (v12 = e3) | unit = e4)) | (v10 = e4 & ( ~
% 71.14/10.30 | (v12 = e2) | unit = e4)) | (v9 = e4 & ( ~ (v12 = e0) | unit =
% 71.14/10.30 | e4)) | (v8 = e4 & unit = e4) | (v7 = e4 & ( ~ (v8 = e3) | unit
% 71.14/10.30 | = e4)) | (v6 = e4 & ( ~ (v8 = e2) | unit = e4)) | (v5 = e4 & (
% 71.14/10.30 | ~ (v8 = e1) | unit = e4)) | (v4 = e4 & unit = e4) | (v3 = e4 &
% 71.14/10.30 | ( ~ (v20 = e3) | unit = e4)) | (v2 = e4 & ( ~ (v16 = e2) | unit
% 71.14/10.30 | = e4)) | (v1 = e4 & ( ~ (v12 = e1) | unit = e4)) | (v0 = e4 &
% 71.14/10.30 | ( ~ (v8 = e0) | unit = e4))) & ((v24 = e3 & unit = e3) | (v23 =
% 71.14/10.30 | e3 & ( ~ (v24 = e2) | unit = e3)) | (v22 = e3 & ( ~ (v24 = e1) |
% 71.14/10.30 | unit = e3)) | (v21 = e3 & ( ~ (v24 = e0) | unit = e3)) | (v20
% 71.14/10.30 | = e3 & ( ~ (v3 = e4) | unit = e3)) | (v19 = e3 & ( ~ (v3 = e2) |
% 71.14/10.30 | unit = e3)) | (v18 = e3 & ( ~ (v3 = e1) | unit = e3)) | (v17 =
% 71.14/10.30 | e3 & ( ~ (v3 = e0) | unit = e3)) | (v16 = e3 & ( ~ (v15 = e4) |
% 71.14/10.30 | unit = e3)) | (v15 = e3 & unit = e3) | (v14 = e3 & ( ~ (v15 =
% 71.14/10.30 | e1) | unit = e3)) | (v13 = e3 & ( ~ (v15 = e0) | unit = e3))
% 71.14/10.30 | | (v12 = e3 & ( ~ (v11 = e4) | unit = e3)) | (v11 = e3 & unit =
% 71.14/10.30 | e3) | (v10 = e3 & ( ~ (v11 = e2) | unit = e3)) | (v9 = e3 & ( ~
% 71.14/10.30 | (v11 = e0) | unit = e3)) | (v8 = e3 & ( ~ (v7 = e4) | unit =
% 71.14/10.30 | e3)) | (v7 = e3 & unit = e3) | (v6 = e3 & ( ~ (v7 = e2) | unit
% 71.14/10.30 | = e3)) | (v5 = e3 & ( ~ (v7 = e1) | unit = e3)) | (v4 = e3 & (
% 71.14/10.30 | ~ (v24 = e4) | unit = e3)) | (v3 = e3 & unit = e3) | (v2 = e3
% 71.14/10.30 | & ( ~ (v15 = e2) | unit = e3)) | (v1 = e3 & ( ~ (v11 = e1) |
% 71.14/10.30 | unit = e3)) | (v0 = e3 & ( ~ (v7 = e0) | unit = e3))) & ((v24
% 71.14/10.30 | = e2 & ( ~ (v23 = e3) | unit = e2)) | (v23 = e2 & unit = e2) |
% 71.14/10.30 | (v22 = e2 & ( ~ (v23 = e1) | unit = e2)) | (v21 = e2 & ( ~ (v23 =
% 71.14/10.30 | e0) | unit = e2)) | (v20 = e2 & ( ~ (v19 = e4) | unit = e2))
% 71.14/10.30 | | (v19 = e2 & unit = e2) | (v18 = e2 & ( ~ (v19 = e1) | unit =
% 71.14/10.30 | e2)) | (v17 = e2 & ( ~ (v19 = e0) | unit = e2)) | (v16 = e2 &
% 71.14/10.30 | ( ~ (v2 = e4) | unit = e2)) | (v15 = e2 & ( ~ (v2 = e3) | unit =
% 71.14/10.30 | e2)) | (v14 = e2 & ( ~ (v2 = e1) | unit = e2)) | (v13 = e2 & (
% 71.14/10.30 | ~ (v2 = e0) | unit = e2)) | (v12 = e2 & ( ~ (v10 = e4) | unit
% 71.14/10.30 | = e2)) | (v11 = e2 & ( ~ (v10 = e3) | unit = e2)) | (v10 = e2
% 71.14/10.30 | & unit = e2) | (v9 = e2 & ( ~ (v10 = e0) | unit = e2)) | (v8 =
% 71.14/10.30 | e2 & ( ~ (v6 = e4) | unit = e2)) | (v7 = e2 & ( ~ (v6 = e3) |
% 71.14/10.30 | unit = e2)) | (v6 = e2 & unit = e2) | (v5 = e2 & ( ~ (v6 = e1)
% 71.14/10.30 | | unit = e2)) | (v4 = e2 & ( ~ (v23 = e4) | unit = e2)) | (v3
% 71.14/10.30 | = e2 & ( ~ (v19 = e3) | unit = e2)) | (v2 = e2 & unit = e2) |
% 71.14/10.30 | (v1 = e2 & ( ~ (v10 = e1) | unit = e2)) | (v0 = e2 & ( ~ (v6 = e0)
% 71.14/10.30 | | unit = e2))) & ((v24 = e1 & ( ~ (v22 = e3) | unit = e1)) |
% 71.14/10.30 | (v23 = e1 & ( ~ (v22 = e2) | unit = e1)) | (v22 = e1 & unit = e1)
% 71.14/10.30 | | (v21 = e1 & ( ~ (v22 = e0) | unit = e1)) | (v20 = e1 & ( ~ (v18
% 71.14/10.30 | = e4) | unit = e1)) | (v19 = e1 & ( ~ (v18 = e2) | unit =
% 71.14/10.30 | e1)) | (v18 = e1 & unit = e1) | (v17 = e1 & ( ~ (v18 = e0) |
% 71.14/10.30 | unit = e1)) | (v16 = e1 & ( ~ (v14 = e4) | unit = e1)) | (v15
% 71.14/10.30 | = e1 & ( ~ (v14 = e3) | unit = e1)) | (v14 = e1 & unit = e1) |
% 71.14/10.30 | (v13 = e1 & ( ~ (v14 = e0) | unit = e1)) | (v12 = e1 & ( ~ (v1 =
% 71.14/10.30 | e4) | unit = e1)) | (v11 = e1 & ( ~ (v1 = e3) | unit = e1))
% 71.14/10.30 | | (v10 = e1 & ( ~ (v1 = e2) | unit = e1)) | (v9 = e1 & ( ~ (v1 =
% 71.14/10.30 | e0) | unit = e1)) | (v8 = e1 & ( ~ (v5 = e4) | unit = e1)) |
% 71.14/10.30 | (v7 = e1 & ( ~ (v5 = e3) | unit = e1)) | (v6 = e1 & ( ~ (v5 = e2)
% 71.14/10.30 | | unit = e1)) | (v5 = e1 & unit = e1) | (v4 = e1 & ( ~ (v22 =
% 71.14/10.30 | e4) | unit = e1)) | (v3 = e1 & ( ~ (v18 = e3) | unit = e1))
% 71.14/10.30 | | (v2 = e1 & ( ~ (v14 = e2) | unit = e1)) | (v1 = e1 & unit = e1)
% 71.14/10.30 | | (v0 = e1 & ( ~ (v5 = e0) | unit = e1))) & ((v24 = e0 & ( ~ (v21
% 71.14/10.30 | = e3) | unit = e0)) | (v23 = e0 & ( ~ (v21 = e2) | unit =
% 71.14/10.30 | e0)) | (v22 = e0 & ( ~ (v21 = e1) | unit = e0)) | (v21 = e0 &
% 71.14/10.30 | unit = e0) | (v20 = e0 & ( ~ (v17 = e4) | unit = e0)) | (v19 =
% 71.14/10.30 | e0 & ( ~ (v17 = e2) | unit = e0)) | (v18 = e0 & ( ~ (v17 = e1) |
% 71.14/10.30 | unit = e0)) | (v17 = e0 & unit = e0) | (v16 = e0 & ( ~ (v13 =
% 71.14/10.30 | e4) | unit = e0)) | (v15 = e0 & ( ~ (v13 = e3) | unit = e0))
% 71.14/10.30 | | (v14 = e0 & ( ~ (v13 = e1) | unit = e0)) | (v13 = e0 & unit =
% 71.14/10.30 | e0) | (v12 = e0 & ( ~ (v9 = e4) | unit = e0)) | (v11 = e0 & ( ~
% 71.14/10.30 | (v9 = e3) | unit = e0)) | (v10 = e0 & ( ~ (v9 = e2) | unit =
% 71.14/10.30 | e0)) | (v9 = e0 & unit = e0) | (v8 = e0 & ( ~ (v0 = e4) | unit
% 71.14/10.30 | = e0)) | (v7 = e0 & ( ~ (v0 = e3) | unit = e0)) | (v6 = e0 & (
% 71.14/10.30 | ~ (v0 = e2) | unit = e0)) | (v5 = e0 & ( ~ (v0 = e1) | unit =
% 71.14/10.30 | e0)) | (v4 = e0 & ( ~ (v21 = e4) | unit = e0)) | (v3 = e0 & (
% 71.14/10.30 | ~ (v17 = e3) | unit = e0)) | (v2 = e0 & ( ~ (v13 = e2) | unit
% 71.14/10.30 | = e0)) | (v1 = e0 & ( ~ (v9 = e1) | unit = e0)) | (v0 = e0 &
% 71.14/10.30 | unit = e0)) & ((v4 = e3 & ~ (v24 = e4)) | (v4 = e2 & ~ (v23 =
% 71.14/10.30 | e4)) | (v4 = e1 & ~ (v22 = e4)) | (v4 = e0 & ~ (v21 = e4)) |
% 71.14/10.30 | (v3 = e4 & ~ (v20 = e3)) | (v3 = e2 & ~ (v19 = e3)) | (v3 = e1 &
% 71.14/10.30 | ~ (v18 = e3)) | (v3 = e0 & ~ (v17 = e3)) | (v2 = e4 & ~ (v16
% 71.14/10.30 | = e2)) | (v2 = e3 & ~ (v15 = e2)) | (v2 = e1 & ~ (v14 = e2))
% 71.14/10.30 | | (v2 = e0 & ~ (v13 = e2)) | (v1 = e4 & ~ (v12 = e1)) | (v1 = e3
% 71.14/10.30 | & ~ (v11 = e1)) | (v1 = e2 & ~ (v10 = e1)) | (v1 = e0 & ~ (v9
% 71.14/10.30 | = e1)) | (v0 = e4 & ~ (v8 = e0)) | (v0 = e3 & ~ (v7 = e0)) |
% 71.14/10.30 | (v0 = e2 & ~ (v6 = e0)) | (v0 = e1 & ~ (v5 = e0))) & (( ~ (v4 =
% 71.14/10.30 | e4) & ~ (v3 = e4) & ~ (v2 = e4) & ~ (v1 = e4) & ~ (v0 =
% 71.14/10.30 | e4)) | ( ~ (v4 = e3) & ~ (v3 = e3) & ~ (v2 = e3) & ~ (v1 =
% 71.14/10.30 | e3) & ~ (v0 = e3)) | ( ~ (v4 = e2) & ~ (v3 = e2) & ~ (v2 =
% 71.14/10.30 | e2) & ~ (v1 = e2) & ~ (v0 = e2)) | ( ~ (v4 = e1) & ~ (v3 =
% 71.14/10.30 | e1) & ~ (v2 = e1) & ~ (v1 = e1) & ~ (v0 = e1)) | ( ~ (v4 =
% 71.14/10.30 | e0) & ~ (v3 = e0) & ~ (v2 = e0) & ~ (v1 = e0) & ~ (v0 =
% 71.14/10.30 | e0))) & ((( ~ (v68 = e3) | v67 = e4) & ( ~ (v66 = e2) | v65 =
% 71.14/10.30 | e4) & ( ~ (v64 = e1) | v63 = e4) & ( ~ (v62 = e0) | v61 = e4))
% 71.14/10.30 | | (( ~ (v60 = e4) | v59 = e3) & ( ~ (v57 = e2) | v56 = e3) & ( ~
% 71.14/10.30 | (v55 = e1) | v54 = e3) & ( ~ (v53 = e0) | v52 = e3)) | (( ~
% 71.14/10.30 | (v51 = e4) | v50 = e2) & ( ~ (v49 = e3) | v48 = e2) & ( ~ (v46
% 71.14/10.30 | = e1) | v45 = e2) & ( ~ (v44 = e0) | v43 = e2)) | (( ~ (v42
% 71.14/10.30 | = e4) | v41 = e1) & ( ~ (v40 = e3) | v39 = e1) & ( ~ (v38 =
% 71.14/10.30 | e2) | v37 = e1) & ( ~ (v35 = e0) | v34 = e1)) | (( ~ (v33 =
% 71.14/10.30 | e4) | v32 = e0) & ( ~ (v31 = e3) | v30 = e0) & ( ~ (v29 =
% 71.14/10.30 | e2) | v28 = e0) & ( ~ (v27 = e1) | v26 = e0))))
% 71.14/10.30 |
% 71.14/10.30 | DELTA: instantiating (13) with fresh symbols all_4_0, all_4_1, all_4_2,
% 71.14/10.30 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9,
% 71.14/10.30 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16,
% 71.14/10.30 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23,
% 71.14/10.30 | all_4_24 gives:
% 71.14/10.31 | (15) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 =
% 71.14/10.31 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~
% 71.14/10.31 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 =
% 71.14/10.31 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~
% 71.14/10.31 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11)
% 71.14/10.31 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 =
% 71.14/10.31 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~
% 71.14/10.31 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 =
% 71.14/10.31 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~
% 71.14/10.31 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 =
% 71.14/10.31 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~
% 71.14/10.31 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 =
% 71.14/10.31 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~
% 71.14/10.31 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 =
% 71.14/10.31 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~
% 71.14/10.31 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11)
% 71.14/10.31 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 =
% 71.14/10.31 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~
% 71.14/10.31 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 =
% 71.14/10.31 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~
% 71.14/10.31 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 =
% 71.14/10.31 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~
% 71.14/10.31 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 =
% 71.14/10.31 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~
% 71.14/10.31 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 =
% 71.14/10.31 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~
% 71.14/10.31 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 =
% 71.14/10.31 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~
% 71.14/10.31 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 =
% 71.14/10.31 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~
% 71.14/10.31 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 =
% 71.14/10.31 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~
% 71.14/10.31 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 =
% 71.14/10.31 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~
% 71.14/10.31 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 =
% 71.14/10.31 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~
% 71.14/10.31 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 =
% 71.14/10.31 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~
% 71.14/10.31 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 =
% 71.14/10.31 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4,
% 71.14/10.31 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 &
% 71.14/10.31 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 &
% 71.14/10.31 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21
% 71.14/10.31 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12
% 71.14/10.31 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3
% 71.14/10.31 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18
% 71.14/10.31 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9
% 71.14/10.31 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) =
% 71.14/10.31 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) &
% 71.14/10.31 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) &
% 71.14/10.31 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) &
% 71.14/10.31 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) &
% 71.14/10.31 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) &
% 71.14/10.31 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24)
% 71.14/10.31 |
% 71.14/10.31 | ALPHA: (15) implies:
% 71.14/10.31 | (16) ~ (all_4_23 = all_4_24)
% 71.14/10.31 | (17) ~ (all_4_22 = all_4_24)
% 71.14/10.31 | (18) ~ (all_4_22 = all_4_23)
% 71.14/10.31 | (19) ~ (all_4_21 = all_4_24)
% 71.14/10.31 | (20) ~ (all_4_21 = all_4_23)
% 71.14/10.31 | (21) ~ (all_4_21 = all_4_22)
% 71.14/10.31 | (22) ~ (all_4_20 = all_4_24)
% 71.14/10.31 | (23) ~ (all_4_20 = all_4_23)
% 71.14/10.31 | (24) ~ (all_4_20 = all_4_22)
% 71.14/10.31 | (25) ~ (all_4_20 = all_4_21)
% 71.14/10.31 | (26) ~ (all_4_18 = all_4_23)
% 71.14/10.31 | (27) ~ (all_4_17 = all_4_22)
% 71.14/10.31 | (28) ~ (all_4_17 = all_4_19)
% 71.14/10.31 | (29) ~ (all_4_17 = all_4_18)
% 71.14/10.31 | (30) ~ (all_4_16 = all_4_21)
% 71.14/10.31 | (31) ~ (all_4_16 = all_4_19)
% 71.14/10.31 | (32) ~ (all_4_16 = all_4_18)
% 71.14/10.31 | (33) ~ (all_4_16 = all_4_17)
% 71.14/10.31 | (34) ~ (all_4_15 = all_4_20)
% 71.14/10.31 | (35) ~ (all_4_15 = all_4_19)
% 71.14/10.31 | (36) ~ (all_4_15 = all_4_18)
% 71.14/10.31 | (37) ~ (all_4_15 = all_4_17)
% 71.14/10.31 | (38) ~ (all_4_15 = all_4_16)
% 71.14/10.31 | (39) ~ (all_4_13 = all_4_23)
% 71.14/10.31 | (40) ~ (all_4_13 = all_4_18)
% 71.14/10.31 | (41) ~ (all_4_13 = all_4_14)
% 71.14/10.31 | (42) ~ (all_4_12 = all_4_22)
% 71.14/10.31 | (43) ~ (all_4_12 = all_4_17)
% 71.14/10.31 | (44) ~ (all_4_12 = all_4_13)
% 71.14/10.31 | (45) ~ (all_4_11 = all_4_21)
% 71.14/10.31 | (46) ~ (all_4_11 = all_4_16)
% 71.14/10.31 | (47) ~ (all_4_11 = all_4_14)
% 71.14/10.31 | (48) ~ (all_4_11 = all_4_13)
% 71.14/10.31 | (49) ~ (all_4_11 = all_4_12)
% 71.14/10.31 | (50) ~ (all_4_10 = all_4_20)
% 71.14/10.31 | (51) ~ (all_4_10 = all_4_15)
% 71.14/10.31 | (52) ~ (all_4_10 = all_4_14)
% 71.14/10.31 | (53) ~ (all_4_10 = all_4_13)
% 71.14/10.31 | (54) ~ (all_4_10 = all_4_12)
% 71.14/10.31 | (55) ~ (all_4_10 = all_4_11)
% 71.14/10.31 | (56) ~ (all_4_8 = all_4_23)
% 71.14/10.31 | (57) ~ (all_4_8 = all_4_18)
% 71.14/10.31 | (58) ~ (all_4_8 = all_4_13)
% 71.14/10.31 | (59) ~ (all_4_8 = all_4_9)
% 71.14/10.31 | (60) ~ (all_4_7 = all_4_22)
% 71.14/10.31 | (61) ~ (all_4_7 = all_4_17)
% 71.14/10.31 | (62) ~ (all_4_7 = all_4_12)
% 71.14/10.31 | (63) ~ (all_4_7 = all_4_9)
% 71.14/10.31 | (64) ~ (all_4_7 = all_4_8)
% 71.14/10.31 | (65) ~ (all_4_6 = all_4_21)
% 71.14/10.31 | (66) ~ (all_4_6 = all_4_16)
% 71.14/10.31 | (67) ~ (all_4_6 = all_4_11)
% 71.14/10.31 | (68) ~ (all_4_6 = all_4_8)
% 71.14/10.31 | (69) ~ (all_4_6 = all_4_7)
% 71.14/10.31 | (70) ~ (all_4_5 = all_4_20)
% 71.14/10.31 | (71) ~ (all_4_5 = all_4_15)
% 71.14/10.31 | (72) ~ (all_4_5 = all_4_10)
% 71.14/10.31 | (73) ~ (all_4_5 = all_4_9)
% 71.14/10.31 | (74) ~ (all_4_5 = all_4_8)
% 71.14/10.32 | (75) ~ (all_4_5 = all_4_7)
% 71.14/10.32 | (76) ~ (all_4_5 = all_4_6)
% 71.14/10.32 | (77) ~ (all_4_3 = all_4_23)
% 71.14/10.32 | (78) ~ (all_4_3 = all_4_18)
% 71.14/10.32 | (79) ~ (all_4_3 = all_4_13)
% 71.14/10.32 | (80) ~ (all_4_3 = all_4_8)
% 71.14/10.32 | (81) ~ (all_4_3 = all_4_4)
% 71.14/10.32 | (82) ~ (all_4_2 = all_4_22)
% 71.14/10.32 | (83) ~ (all_4_2 = all_4_17)
% 71.14/10.32 | (84) ~ (all_4_2 = all_4_12)
% 71.14/10.32 | (85) ~ (all_4_2 = all_4_7)
% 71.14/10.32 | (86) ~ (all_4_2 = all_4_4)
% 71.14/10.32 | (87) ~ (all_4_2 = all_4_3)
% 71.14/10.32 | (88) ~ (all_4_1 = all_4_21)
% 71.14/10.32 | (89) ~ (all_4_1 = all_4_16)
% 71.14/10.32 | (90) ~ (all_4_1 = all_4_11)
% 71.14/10.32 | (91) ~ (all_4_1 = all_4_6)
% 71.14/10.32 | (92) ~ (all_4_1 = all_4_4)
% 71.14/10.32 | (93) ~ (all_4_1 = all_4_3)
% 71.14/10.32 | (94) ~ (all_4_1 = all_4_2)
% 71.14/10.32 | (95) ~ (all_4_0 = all_4_20)
% 71.14/10.32 | (96) ~ (all_4_0 = all_4_15)
% 71.14/10.32 | (97) ~ (all_4_0 = all_4_10)
% 71.14/10.32 | (98) ~ (all_4_0 = all_4_5)
% 71.14/10.32 | (99) ~ (all_4_0 = all_4_3)
% 71.14/10.32 | (100) ~ (all_4_0 = all_4_2)
% 71.14/10.32 | (101) ~ (all_4_0 = all_4_1)
% 71.14/10.32 | (102) op(e0, e0) = all_4_24
% 71.14/10.32 | (103) op(e0, e1) = all_4_19
% 71.14/10.32 | (104) op(e0, e2) = all_4_14
% 71.14/10.32 | (105) op(e0, e3) = all_4_9
% 71.14/10.32 | (106) op(e0, e4) = all_4_4
% 71.14/10.32 | (107) op(e1, e0) = all_4_23
% 71.14/10.32 | (108) op(e1, e1) = all_4_18
% 71.14/10.32 | (109) op(e1, e2) = all_4_13
% 71.14/10.32 | (110) op(e1, e3) = all_4_8
% 71.14/10.32 | (111) op(e1, e4) = all_4_3
% 71.14/10.32 | (112) op(e2, e0) = all_4_22
% 71.14/10.32 | (113) op(e2, e1) = all_4_17
% 71.46/10.32 | (114) op(e2, e2) = all_4_12
% 71.46/10.32 | (115) op(e2, e3) = all_4_7
% 71.46/10.32 | (116) op(e2, e4) = all_4_2
% 71.46/10.32 | (117) op(e3, e0) = all_4_21
% 71.46/10.32 | (118) op(e3, e1) = all_4_16
% 71.46/10.32 | (119) op(e3, e2) = all_4_11
% 71.46/10.32 | (120) op(e3, e3) = all_4_6
% 71.46/10.32 | (121) op(e3, e4) = all_4_1
% 71.46/10.32 | (122) op(e4, e0) = all_4_20
% 71.46/10.32 | (123) op(e4, e1) = all_4_15
% 71.46/10.32 | (124) op(e4, e2) = all_4_10
% 71.46/10.32 | (125) op(e4, e3) = all_4_5
% 71.46/10.32 | (126) op(e4, e4) = all_4_0
% 71.46/10.32 |
% 71.46/10.32 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2,
% 71.46/10.32 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9,
% 71.46/10.32 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16,
% 71.46/10.32 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23,
% 71.46/10.32 | all_6_24 gives:
% 71.46/10.33 | (127) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 &
% 71.46/10.33 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 &
% 71.46/10.33 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 &
% 71.46/10.33 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11
% 71.46/10.33 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) =
% 71.46/10.33 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2)
% 71.46/10.33 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0,
% 71.46/10.33 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 &
% 71.46/10.33 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) &
% 71.46/10.33 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) &
% 71.46/10.33 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10)
% 71.46/10.33 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) &
% 71.46/10.33 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) &
% 71.46/10.33 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) &
% 71.46/10.33 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0
% 71.46/10.33 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3
% 71.46/10.33 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 |
% 71.46/10.33 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) &
% 71.46/10.33 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3
% 71.46/10.33 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1
% 71.46/10.33 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 71.46/10.33 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 |
% 71.46/10.33 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 |
% 71.46/10.33 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) &
% 71.46/10.33 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8
% 71.46/10.33 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1
% 71.46/10.33 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 71.46/10.33 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 |
% 71.46/10.33 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 |
% 71.46/10.33 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) &
% 71.46/10.33 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 71.46/10.33 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 |
% 71.46/10.33 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 |
% 71.46/10.33 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 |
% 71.46/10.33 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) &
% 71.46/10.33 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 71.46/10.33 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 71.46/10.33 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 |
% 71.46/10.33 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 |
% 71.46/10.33 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) &
% 71.46/10.33 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 |
% 71.46/10.33 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 |
% 71.46/10.33 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 |
% 71.46/10.33 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 |
% 71.46/10.33 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0)
% 71.46/10.33 |
% 71.46/10.33 | ALPHA: (127) implies:
% 71.46/10.33 | (128) op(e0, e0) = all_6_24
% 71.46/10.33 | (129) op(e0, e1) = all_6_23
% 71.46/10.33 | (130) op(e0, e2) = all_6_22
% 71.46/10.33 | (131) op(e0, e3) = all_6_21
% 71.46/10.33 | (132) op(e0, e4) = all_6_20
% 71.46/10.33 | (133) op(e1, e0) = all_6_19
% 71.46/10.33 | (134) op(e1, e1) = all_6_18
% 71.46/10.33 | (135) op(e1, e2) = all_6_17
% 71.46/10.33 | (136) op(e1, e3) = all_6_16
% 71.46/10.33 | (137) op(e1, e4) = all_6_15
% 71.46/10.33 | (138) op(e2, e0) = all_6_14
% 71.46/10.33 | (139) op(e2, e1) = all_6_13
% 71.46/10.33 | (140) op(e2, e2) = all_6_12
% 71.46/10.33 | (141) op(e2, e3) = all_6_11
% 71.46/10.33 | (142) op(e2, e4) = all_6_10
% 71.46/10.33 | (143) op(e3, e0) = all_6_9
% 71.46/10.33 | (144) op(e3, e1) = all_6_8
% 71.46/10.33 | (145) op(e3, e2) = all_6_7
% 71.46/10.33 | (146) op(e3, e3) = all_6_6
% 71.46/10.33 | (147) op(e3, e4) = all_6_5
% 71.46/10.33 | (148) op(e4, e0) = all_6_4
% 71.46/10.33 | (149) op(e4, e1) = all_6_3
% 71.46/10.33 | (150) op(e4, e2) = all_6_2
% 71.46/10.33 | (151) op(e4, e3) = all_6_1
% 71.46/10.33 | (152) op(e4, e4) = all_6_0
% 71.46/10.33 | (153) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 |
% 71.46/10.33 | all_6_18 = e0
% 71.46/10.33 | (154) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 |
% 71.46/10.33 | all_6_17 = e0
% 71.46/10.33 | (155) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 |
% 71.46/10.33 | all_6_16 = e0
% 71.46/10.33 | (156) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 |
% 71.46/10.33 | all_6_15 = e0
% 71.46/10.33 | (157) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 |
% 71.46/10.33 | all_6_13 = e0
% 71.46/10.33 | (158) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 |
% 71.46/10.33 | all_6_12 = e0
% 71.46/10.33 | (159) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 |
% 71.46/10.33 | all_6_11 = e0
% 71.46/10.33 | (160) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 |
% 71.46/10.33 | all_6_10 = e0
% 71.46/10.33 | (161) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 =
% 71.46/10.33 | e0
% 71.46/10.33 | (162) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 =
% 71.46/10.33 | e0
% 71.46/10.33 | (163) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 =
% 71.46/10.33 | e0
% 71.46/10.33 | (164) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 =
% 71.46/10.33 | e0
% 71.46/10.33 | (165) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 =
% 71.46/10.33 | e0
% 71.46/10.33 | (166) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 =
% 71.46/10.33 | e0
% 71.46/10.33 | (167) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 =
% 71.46/10.33 | e0
% 71.46/10.33 | (168) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 =
% 71.46/10.33 | e0
% 71.46/10.33 |
% 71.46/10.33 | DELTA: instantiating (11) with fresh symbols all_8_0, all_8_1, all_8_2,
% 71.46/10.33 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9,
% 71.46/10.33 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16,
% 71.46/10.33 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23,
% 71.46/10.33 | all_8_24 gives:
% 71.46/10.34 | (169) op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_4 &
% 71.46/10.34 | op(e4, e1) = all_8_9 & op(e4, e0) = all_8_16 & op(e3, e4) = all_8_2 &
% 71.46/10.34 | op(e3, e3) = all_8_3 & op(e3, e2) = all_8_5 & op(e3, e1) = all_8_10 &
% 71.46/10.34 | op(e3, e0) = all_8_17 & op(e2, e4) = all_8_6 & op(e2, e3) = all_8_7 &
% 71.46/10.34 | op(e2, e2) = all_8_8 & op(e2, e1) = all_8_11 & op(e2, e0) = all_8_18
% 71.46/10.34 | & op(e1, e4) = all_8_12 & op(e1, e3) = all_8_13 & op(e1, e2) =
% 71.46/10.34 | all_8_14 & op(e1, e1) = all_8_15 & op(e1, e0) = all_8_19 & op(e0, e4)
% 71.46/10.34 | = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & op(e0,
% 71.46/10.34 | e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & $i(all_8_1)
% 71.46/10.34 | & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6)
% 71.46/10.34 | & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) &
% 71.46/10.34 | $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) &
% 71.46/10.34 | $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) &
% 71.46/10.34 | $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) &
% 71.46/10.34 | $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_1 = e4 | all_8_4
% 71.46/10.34 | = e4 | all_8_9 = e4 | all_8_16 = e4) & (all_8_0 = e4 | all_8_2 = e4
% 71.46/10.34 | | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4) & (all_8_0 = e3 |
% 71.46/10.34 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3) &
% 71.46/10.34 | (all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 71.46/10.34 | all_8_20 = e3) & (all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 |
% 71.46/10.34 | all_8_9 = e2 | all_8_16 = e2) & (all_8_0 = e2 | all_8_2 = e2 |
% 71.46/10.34 | all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2) & (all_8_0 = e1 |
% 71.46/10.34 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1) &
% 71.46/10.34 | (all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 71.46/10.34 | all_8_20 = e1) & (all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 |
% 71.46/10.34 | all_8_9 = e0 | all_8_16 = e0) & (all_8_0 = e0 | all_8_2 = e0 |
% 71.46/10.34 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0) & (all_8_1 = e4 |
% 71.46/10.34 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4) &
% 71.46/10.34 | (all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 |
% 71.46/10.34 | all_8_21 = e3) & (all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 |
% 71.46/10.34 | all_8_13 = e2 | all_8_21 = e2) & (all_8_1 = e1 | all_8_3 = e1 |
% 71.46/10.34 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1) & (all_8_1 = e0 |
% 71.46/10.34 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0) &
% 71.46/10.34 | (all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 71.46/10.34 | all_8_17 = e4) & (all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 |
% 71.46/10.34 | all_8_10 = e3 | all_8_17 = e3) & (all_8_2 = e2 | all_8_3 = e2 |
% 71.46/10.34 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2) & (all_8_2 = e1 |
% 71.46/10.34 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1) &
% 71.46/10.34 | (all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 71.46/10.34 | all_8_17 = e0) & (all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 |
% 71.46/10.34 | all_8_14 = e4 | all_8_22 = e4) & (all_8_4 = e3 | all_8_5 = e3 |
% 71.46/10.34 | all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3) & (all_8_4 = e2 |
% 71.46/10.34 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2) &
% 71.46/10.34 | (all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 71.46/10.34 | all_8_22 = e1) & (all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 |
% 71.46/10.34 | all_8_14 = e0 | all_8_22 = e0) & (all_8_6 = e4 | all_8_7 = e4 |
% 71.46/10.34 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4) & (all_8_6 = e3 |
% 71.46/10.34 | all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3) &
% 71.46/10.34 | (all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 |
% 71.46/10.34 | all_8_18 = e2) & (all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 |
% 71.46/10.34 | all_8_11 = e1 | all_8_18 = e1) & (all_8_6 = e0 | all_8_7 = e0 |
% 71.46/10.34 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0) & (all_8_9 = e4 |
% 71.46/10.34 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4) &
% 71.46/10.34 | (all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 71.46/10.34 | all_8_23 = e3) & (all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 |
% 71.46/10.34 | all_8_15 = e2 | all_8_23 = e2) & (all_8_9 = e1 | all_8_10 = e1 |
% 71.46/10.34 | all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1) & (all_8_9 = e0 |
% 71.46/10.34 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0) &
% 71.46/10.34 | (all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 71.46/10.34 | all_8_19 = e4) & (all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 |
% 71.46/10.34 | all_8_15 = e3 | all_8_19 = e3) & (all_8_12 = e2 | all_8_13 = e2 |
% 71.46/10.34 | all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2) & (all_8_12 = e1 |
% 71.46/10.34 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1) &
% 71.46/10.34 | (all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 71.46/10.34 | all_8_19 = e0) & (all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 |
% 71.46/10.34 | all_8_19 = e4 | all_8_24 = e4) & (all_8_16 = e3 | all_8_17 = e3 |
% 71.46/10.34 | all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3) & (all_8_16 = e2 |
% 71.46/10.34 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2) &
% 71.46/10.34 | (all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 |
% 71.46/10.34 | all_8_24 = e1) & (all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 |
% 71.46/10.34 | all_8_23 = e4 | all_8_24 = e4) & (all_8_20 = e3 | all_8_21 = e3 |
% 71.46/10.34 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3) & (all_8_20 = e2 |
% 71.46/10.34 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2) &
% 71.46/10.34 | (all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 |
% 71.46/10.34 | all_8_24 = e1) & (all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 |
% 71.46/10.34 | all_8_18 = e0 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0
% 71.46/10.34 | | all_8_22 = e0 | all_8_23 = e0)))
% 71.46/10.34 |
% 71.46/10.34 | ALPHA: (169) implies:
% 71.46/10.34 | (170) op(e0, e0) = all_8_24
% 71.46/10.34 | (171) op(e0, e1) = all_8_23
% 71.46/10.34 | (172) op(e0, e2) = all_8_22
% 71.46/10.34 | (173) op(e0, e3) = all_8_21
% 71.46/10.34 | (174) op(e0, e4) = all_8_20
% 71.46/10.34 | (175) op(e1, e0) = all_8_19
% 71.46/10.34 | (176) op(e1, e1) = all_8_15
% 71.46/10.34 | (177) op(e1, e2) = all_8_14
% 71.46/10.34 | (178) op(e1, e3) = all_8_13
% 71.46/10.34 | (179) op(e1, e4) = all_8_12
% 71.46/10.34 | (180) op(e2, e0) = all_8_18
% 71.46/10.34 | (181) op(e2, e1) = all_8_11
% 71.46/10.34 | (182) op(e2, e2) = all_8_8
% 71.46/10.34 | (183) op(e2, e3) = all_8_7
% 71.46/10.34 | (184) op(e2, e4) = all_8_6
% 71.46/10.34 | (185) op(e3, e0) = all_8_17
% 71.46/10.34 | (186) op(e3, e1) = all_8_10
% 71.46/10.34 | (187) op(e3, e2) = all_8_5
% 71.46/10.34 | (188) op(e3, e3) = all_8_3
% 71.46/10.34 | (189) op(e3, e4) = all_8_2
% 71.46/10.34 | (190) op(e4, e0) = all_8_16
% 71.46/10.34 | (191) op(e4, e1) = all_8_9
% 71.46/10.34 | (192) op(e4, e2) = all_8_4
% 71.46/10.34 | (193) op(e4, e3) = all_8_1
% 71.46/10.34 | (194) op(e4, e4) = all_8_0
% 71.46/10.34 | (195) all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 71.46/10.34 | all_8_19 = e0
% 71.46/10.35 | (196) all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 71.46/10.35 | all_8_19 = e2
% 71.46/10.35 | (197) all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 71.46/10.35 | all_8_19 = e3
% 71.46/10.35 | (198) all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 71.46/10.35 | all_8_19 = e4
% 71.46/10.35 | (199) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 71.46/10.35 | all_8_23 = e0
% 71.46/10.35 | (200) all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 71.46/10.35 | all_8_23 = e2
% 71.46/10.35 | (201) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 71.46/10.35 | all_8_23 = e3
% 71.46/10.35 | (202) all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 71.46/10.35 | all_8_23 = e4
% 71.46/10.35 | (203) all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18
% 71.46/10.35 | = e0
% 71.46/10.35 | (204) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 71.46/10.35 | = e1
% 71.46/10.35 | (205) all_8_6 = e3 | all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18
% 71.46/10.35 | = e3
% 71.46/10.35 | (206) all_8_6 = e4 | all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18
% 71.46/10.35 | = e4
% 71.46/10.35 | (207) all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22
% 71.46/10.35 | = e0
% 71.46/10.35 | (208) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22
% 71.46/10.35 | = e1
% 71.46/10.35 | (209) all_8_4 = e3 | all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 | all_8_22
% 71.46/10.35 | = e3
% 71.46/10.35 | (210) all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 | all_8_22
% 71.46/10.35 | = e4
% 71.46/10.35 | (211) all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17
% 71.46/10.35 | = e0
% 71.46/10.35 | (212) all_8_2 = e1 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17
% 71.46/10.35 | = e1
% 71.46/10.35 | (213) all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17
% 71.46/10.35 | = e2
% 71.46/10.35 | (214) all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17
% 71.46/10.35 | = e4
% 71.46/10.35 | (215) all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21
% 71.46/10.35 | = e0
% 71.46/10.35 | (216) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21
% 71.46/10.35 | = e1
% 71.46/10.35 | (217) all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 71.46/10.35 | = e2
% 71.46/10.35 | (218) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21
% 71.46/10.35 | = e4
% 71.46/10.35 | (219) all_8_0 = e0 | all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 | all_8_20
% 71.46/10.35 | = e0
% 71.46/10.35 | (220) all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16
% 71.46/10.35 | = e0
% 71.46/10.35 | (221) all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20
% 71.46/10.35 | = e1
% 71.46/10.35 | (222) all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16
% 71.46/10.35 | = e1
% 71.46/10.35 | (223) all_8_0 = e2 | all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 | all_8_20
% 71.46/10.35 | = e2
% 71.46/10.35 | (224) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16
% 71.46/10.35 | = e2
% 71.46/10.35 | (225) all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | all_8_20
% 71.46/10.35 | = e3
% 71.46/10.35 | (226) all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16
% 71.46/10.35 | = e3
% 71.46/10.35 |
% 71.46/10.35 | DELTA: instantiating (14) with fresh symbols all_10_0, all_10_1, all_10_2,
% 71.46/10.35 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9,
% 71.46/10.35 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15,
% 71.46/10.35 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21,
% 71.46/10.35 | all_10_22, all_10_23, all_10_24, all_10_25, all_10_26, all_10_27,
% 71.46/10.35 | all_10_28, all_10_29, all_10_30, all_10_31, all_10_32, all_10_33,
% 71.46/10.35 | all_10_34, all_10_35, all_10_36, all_10_37, all_10_38, all_10_39,
% 71.46/10.35 | all_10_40, all_10_41, all_10_42, all_10_43, all_10_44, all_10_45,
% 71.46/10.35 | all_10_46, all_10_47, all_10_48, all_10_49, all_10_50, all_10_51,
% 71.46/10.35 | all_10_52, all_10_53, all_10_54, all_10_55, all_10_56, all_10_57,
% 71.46/10.35 | all_10_58, all_10_59, all_10_60, all_10_61, all_10_62, all_10_63,
% 71.46/10.35 | all_10_64, all_10_65, all_10_66, all_10_67, all_10_68, all_10_69,
% 71.46/10.35 | all_10_70, all_10_71, all_10_72, all_10_73, all_10_74, all_10_75,
% 71.46/10.35 | all_10_76, all_10_77, all_10_78, all_10_79, all_10_80, all_10_81,
% 71.46/10.35 | all_10_82, all_10_83, all_10_84, all_10_85, all_10_86, all_10_87,
% 71.46/10.35 | all_10_88, all_10_89, all_10_90, all_10_91, all_10_92, all_10_93,
% 71.46/10.35 | all_10_94, all_10_95, all_10_96, all_10_97, all_10_98, all_10_99,
% 71.46/10.35 | all_10_100, all_10_101, all_10_102, all_10_103, all_10_104, all_10_105,
% 71.46/10.35 | all_10_106, all_10_107, all_10_108, all_10_109, all_10_110, all_10_111,
% 71.46/10.35 | all_10_112, all_10_113, all_10_114 gives:
% 71.46/10.37 | (227) op(all_10_90, e4) = all_10_1 & op(all_10_90, e3) = all_10_2 &
% 71.46/10.37 | op(all_10_91, e4) = all_10_3 & op(all_10_91, e2) = all_10_4 &
% 71.46/10.37 | op(all_10_92, e4) = all_10_5 & op(all_10_92, e1) = all_10_6 &
% 71.46/10.37 | op(all_10_93, e4) = all_10_7 & op(all_10_93, e0) = all_10_8 &
% 71.46/10.37 | op(all_10_94, e4) = all_10_10 & op(all_10_94, e3) = all_10_9 &
% 71.46/10.37 | op(all_10_95, e3) = all_10_12 & op(all_10_95, e2) = all_10_13 &
% 71.46/10.37 | op(all_10_96, e3) = all_10_14 & op(all_10_96, e1) = all_10_15 &
% 71.46/10.37 | op(all_10_97, e3) = all_10_16 & op(all_10_97, e0) = all_10_17 &
% 71.46/10.37 | op(all_10_98, e4) = all_10_19 & op(all_10_98, e2) = all_10_18 &
% 71.46/10.37 | op(all_10_99, e3) = all_10_21 & op(all_10_99, e2) = all_10_20 &
% 71.46/10.37 | op(all_10_100, e2) = all_10_23 & op(all_10_100, e1) = all_10_24 &
% 71.46/10.37 | op(all_10_101, e2) = all_10_25 & op(all_10_101, e0) = all_10_26 &
% 71.46/10.37 | op(all_10_102, e4) = all_10_28 & op(all_10_102, e1) = all_10_27 &
% 71.46/10.37 | op(all_10_103, e3) = all_10_30 & op(all_10_103, e1) = all_10_29 &
% 71.46/10.37 | op(all_10_104, e2) = all_10_32 & op(all_10_104, e1) = all_10_31 &
% 71.46/10.37 | op(all_10_105, e1) = all_10_34 & op(all_10_105, e0) = all_10_35 &
% 71.46/10.37 | op(all_10_106, e4) = all_10_37 & op(all_10_106, e0) = all_10_36 &
% 71.46/10.37 | op(all_10_107, e3) = all_10_39 & op(all_10_107, e0) = all_10_38 &
% 71.46/10.37 | op(all_10_108, e2) = all_10_41 & op(all_10_108, e0) = all_10_40 &
% 71.46/10.37 | op(all_10_109, e1) = all_10_43 & op(all_10_109, e0) = all_10_42 &
% 71.46/10.37 | op(all_10_110, e4) = all_10_0 & op(all_10_111, e3) = all_10_11 &
% 71.46/10.37 | op(all_10_112, e2) = all_10_22 & op(all_10_113, e1) = all_10_33 &
% 71.46/10.37 | op(all_10_114, e0) = all_10_44 & op(e4, all_10_90) = all_10_55 &
% 71.46/10.37 | op(e4, all_10_91) = all_10_64 & op(e4, all_10_92) = all_10_73 &
% 71.46/10.37 | op(e4, all_10_93) = all_10_82 & op(e4, all_10_94) = all_10_46 &
% 71.46/10.37 | op(e4, all_10_98) = all_10_48 & op(e4, all_10_102) = all_10_50 &
% 71.46/10.37 | op(e4, all_10_106) = all_10_52 & op(e4, all_10_110) = all_10_45 &
% 71.46/10.37 | op(e4, e4) = all_10_110 & op(e4, e3) = all_10_90 & op(e4, e2) =
% 71.46/10.37 | all_10_91 & op(e4, e1) = all_10_92 & op(e4, e0) = all_10_93 & op(e3,
% 71.46/10.37 | all_10_90) = all_10_54 & op(e3, all_10_94) = all_10_47 & op(e3,
% 71.46/10.37 | all_10_95) = all_10_66 & op(e3, all_10_96) = all_10_75 & op(e3,
% 71.46/10.37 | all_10_97) = all_10_84 & op(e3, all_10_99) = all_10_57 & op(e3,
% 71.68/10.37 | all_10_103) = all_10_59 & op(e3, all_10_107) = all_10_61 & op(e3,
% 71.68/10.37 | all_10_111) = all_10_56 & op(e3, e4) = all_10_94 & op(e3, e3) =
% 71.68/10.37 | all_10_111 & op(e3, e2) = all_10_95 & op(e3, e1) = all_10_96 & op(e3,
% 71.68/10.37 | e0) = all_10_97 & op(e2, all_10_91) = all_10_63 & op(e2, all_10_95)
% 71.68/10.37 | = all_10_65 & op(e2, all_10_98) = all_10_49 & op(e2, all_10_99) =
% 71.68/10.37 | all_10_58 & op(e2, all_10_100) = all_10_77 & op(e2, all_10_101) =
% 71.68/10.37 | all_10_86 & op(e2, all_10_104) = all_10_68 & op(e2, all_10_108) =
% 71.68/10.37 | all_10_70 & op(e2, all_10_112) = all_10_67 & op(e2, e4) = all_10_98 &
% 71.68/10.37 | op(e2, e3) = all_10_99 & op(e2, e2) = all_10_112 & op(e2, e1) =
% 71.68/10.37 | all_10_100 & op(e2, e0) = all_10_101 & op(e1, all_10_92) = all_10_72
% 71.68/10.37 | & op(e1, all_10_96) = all_10_74 & op(e1, all_10_100) = all_10_76 &
% 71.68/10.37 | op(e1, all_10_102) = all_10_51 & op(e1, all_10_103) = all_10_60 &
% 71.68/10.37 | op(e1, all_10_104) = all_10_69 & op(e1, all_10_105) = all_10_88 &
% 71.68/10.37 | op(e1, all_10_109) = all_10_79 & op(e1, all_10_113) = all_10_78 &
% 71.68/10.37 | op(e1, e4) = all_10_102 & op(e1, e3) = all_10_103 & op(e1, e2) =
% 71.68/10.37 | all_10_104 & op(e1, e1) = all_10_113 & op(e1, e0) = all_10_105 &
% 71.68/10.37 | op(e0, all_10_93) = all_10_81 & op(e0, all_10_97) = all_10_83 &
% 71.68/10.37 | op(e0, all_10_101) = all_10_85 & op(e0, all_10_105) = all_10_87 &
% 71.68/10.37 | op(e0, all_10_106) = all_10_53 & op(e0, all_10_107) = all_10_62 &
% 71.68/10.37 | op(e0, all_10_108) = all_10_71 & op(e0, all_10_109) = all_10_80 &
% 71.68/10.37 | op(e0, all_10_114) = all_10_89 & op(e0, e4) = all_10_106 & op(e0, e3)
% 71.68/10.37 | = all_10_107 & op(e0, e2) = all_10_108 & op(e0, e1) = all_10_109 &
% 71.68/10.37 | op(e0, e0) = all_10_114 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2)
% 71.68/10.37 | & $i(all_10_3) & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) &
% 71.68/10.37 | $i(all_10_7) & $i(all_10_8) & $i(all_10_9) & $i(all_10_10) &
% 71.68/10.37 | $i(all_10_11) & $i(all_10_12) & $i(all_10_13) & $i(all_10_14) &
% 71.68/10.37 | $i(all_10_15) & $i(all_10_16) & $i(all_10_17) & $i(all_10_18) &
% 71.68/10.37 | $i(all_10_19) & $i(all_10_20) & $i(all_10_21) & $i(all_10_22) &
% 71.68/10.37 | $i(all_10_23) & $i(all_10_24) & $i(all_10_25) & $i(all_10_26) &
% 71.68/10.37 | $i(all_10_27) & $i(all_10_28) & $i(all_10_29) & $i(all_10_30) &
% 71.68/10.37 | $i(all_10_31) & $i(all_10_32) & $i(all_10_33) & $i(all_10_34) &
% 71.68/10.37 | $i(all_10_35) & $i(all_10_36) & $i(all_10_37) & $i(all_10_38) &
% 71.68/10.37 | $i(all_10_39) & $i(all_10_40) & $i(all_10_41) & $i(all_10_42) &
% 71.68/10.37 | $i(all_10_43) & $i(all_10_44) & $i(all_10_45) & $i(all_10_46) &
% 71.68/10.37 | $i(all_10_47) & $i(all_10_48) & $i(all_10_49) & $i(all_10_50) &
% 71.68/10.37 | $i(all_10_51) & $i(all_10_52) & $i(all_10_53) & $i(all_10_54) &
% 71.68/10.37 | $i(all_10_55) & $i(all_10_56) & $i(all_10_57) & $i(all_10_58) &
% 71.68/10.37 | $i(all_10_59) & $i(all_10_60) & $i(all_10_61) & $i(all_10_62) &
% 71.68/10.37 | $i(all_10_63) & $i(all_10_64) & $i(all_10_65) & $i(all_10_66) &
% 71.68/10.37 | $i(all_10_67) & $i(all_10_68) & $i(all_10_69) & $i(all_10_70) &
% 71.68/10.37 | $i(all_10_71) & $i(all_10_72) & $i(all_10_73) & $i(all_10_74) &
% 71.68/10.37 | $i(all_10_75) & $i(all_10_76) & $i(all_10_77) & $i(all_10_78) &
% 71.68/10.37 | $i(all_10_79) & $i(all_10_80) & $i(all_10_81) & $i(all_10_82) &
% 71.68/10.37 | $i(all_10_83) & $i(all_10_84) & $i(all_10_85) & $i(all_10_86) &
% 71.68/10.37 | $i(all_10_87) & $i(all_10_88) & $i(all_10_89) & $i(all_10_90) &
% 71.68/10.37 | $i(all_10_91) & $i(all_10_92) & $i(all_10_93) & $i(all_10_94) &
% 71.68/10.37 | $i(all_10_95) & $i(all_10_96) & $i(all_10_97) & $i(all_10_98) &
% 71.68/10.37 | $i(all_10_99) & $i(all_10_100) & $i(all_10_101) & $i(all_10_102) &
% 71.68/10.37 | $i(all_10_103) & $i(all_10_104) & $i(all_10_105) & $i(all_10_106) &
% 71.68/10.37 | $i(all_10_107) & $i(all_10_108) & $i(all_10_109) & $i(all_10_110) &
% 71.68/10.37 | $i(all_10_111) & $i(all_10_112) & $i(all_10_113) & $i(all_10_114) & (
% 71.68/10.37 | ~ (all_10_2 = e4) | all_10_1 = e3 | all_10_90 = all_10_94) & ( ~
% 71.68/10.37 | (all_10_4 = e4) | all_10_3 = e2 | all_10_91 = all_10_98) & ( ~
% 71.68/10.37 | (all_10_6 = e4) | all_10_5 = e1 | all_10_92 = all_10_102) & ( ~
% 71.68/10.37 | (all_10_8 = e4) | all_10_7 = e0 | all_10_93 = all_10_106) & ( ~
% 71.68/10.37 | (all_10_10 = e3) | all_10_9 = e4 | all_10_90 = all_10_94) & ( ~
% 71.68/10.37 | (all_10_13 = e3) | all_10_12 = e2 | all_10_95 = all_10_99) & ( ~
% 71.68/10.37 | (all_10_15 = e3) | all_10_14 = e1 | all_10_96 = all_10_103) & ( ~
% 71.68/10.37 | (all_10_17 = e3) | all_10_16 = e0 | all_10_97 = all_10_107) & ( ~
% 71.68/10.37 | (all_10_19 = e2) | all_10_18 = e4 | all_10_91 = all_10_98) & ( ~
% 71.68/10.37 | (all_10_21 = e2) | all_10_20 = e3 | all_10_95 = all_10_99) & ( ~
% 71.68/10.37 | (all_10_24 = e2) | all_10_23 = e1 | all_10_100 = all_10_104) & ( ~
% 71.68/10.37 | (all_10_26 = e2) | all_10_25 = e0 | all_10_101 = all_10_108) & ( ~
% 71.68/10.37 | (all_10_28 = e1) | all_10_27 = e4 | all_10_92 = all_10_102) & ( ~
% 71.68/10.37 | (all_10_30 = e1) | all_10_29 = e3 | all_10_96 = all_10_103) & ( ~
% 71.68/10.37 | (all_10_32 = e1) | all_10_31 = e2 | all_10_100 = all_10_104) & ( ~
% 71.68/10.37 | (all_10_35 = e1) | all_10_34 = e0 | all_10_105 = all_10_109) & ( ~
% 71.68/10.37 | (all_10_37 = e0) | all_10_36 = e4 | all_10_93 = all_10_106) & ( ~
% 71.68/10.37 | (all_10_39 = e0) | all_10_38 = e3 | all_10_97 = all_10_107) & ( ~
% 71.68/10.37 | (all_10_41 = e0) | all_10_40 = e2 | all_10_101 = all_10_108) & ( ~
% 71.68/10.37 | (all_10_43 = e0) | all_10_42 = e1 | all_10_105 = all_10_109) & ( ~
% 71.68/10.37 | (all_10_110 = e3) | ~ (all_10_111 = e4) | all_10_90 = e4) & ( ~
% 71.68/10.37 | (all_10_110 = e3) | ~ (all_10_111 = e4) | all_10_94 = e3) & ( ~
% 71.68/10.37 | (all_10_110 = e2) | ~ (all_10_112 = e4) | all_10_91 = e4) & ( ~
% 71.68/10.37 | (all_10_110 = e2) | ~ (all_10_112 = e4) | all_10_98 = e2) & ( ~
% 71.68/10.37 | (all_10_110 = e1) | ~ (all_10_113 = e4) | all_10_92 = e4) & ( ~
% 71.68/10.37 | (all_10_110 = e1) | ~ (all_10_113 = e4) | all_10_102 = e1) & ( ~
% 71.68/10.37 | (all_10_110 = e0) | ~ (all_10_114 = e4) | all_10_93 = e4) & ( ~
% 71.68/10.37 | (all_10_110 = e0) | ~ (all_10_114 = e4) | all_10_106 = e0) & ( ~
% 71.68/10.37 | (all_10_111 = e2) | ~ (all_10_112 = e3) | all_10_95 = e3) & ( ~
% 71.68/10.37 | (all_10_111 = e2) | ~ (all_10_112 = e3) | all_10_99 = e2) & ( ~
% 71.68/10.37 | (all_10_111 = e1) | ~ (all_10_113 = e3) | all_10_96 = e3) & ( ~
% 71.68/10.37 | (all_10_111 = e1) | ~ (all_10_113 = e3) | all_10_103 = e1) & ( ~
% 71.68/10.37 | (all_10_111 = e0) | ~ (all_10_114 = e3) | all_10_97 = e3) & ( ~
% 71.68/10.37 | (all_10_111 = e0) | ~ (all_10_114 = e3) | all_10_107 = e0) & ( ~
% 71.68/10.37 | (all_10_112 = e1) | ~ (all_10_113 = e2) | all_10_100 = e2) & ( ~
% 71.68/10.37 | (all_10_112 = e1) | ~ (all_10_113 = e2) | all_10_104 = e1) & ( ~
% 71.68/10.37 | (all_10_112 = e0) | ~ (all_10_114 = e2) | all_10_101 = e2) & ( ~
% 71.68/10.37 | (all_10_112 = e0) | ~ (all_10_114 = e2) | all_10_108 = e0) & ( ~
% 71.68/10.37 | (all_10_113 = e0) | ~ (all_10_114 = e1) | all_10_105 = e1) & ( ~
% 71.68/10.37 | (all_10_113 = e0) | ~ (all_10_114 = e1) | all_10_109 = e0) &
% 71.68/10.37 | ((all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit = e4)) | (all_10_91 =
% 71.68/10.37 | e4 & ( ~ (all_10_110 = e2) | unit = e4)) | (all_10_92 = e4 & ( ~
% 71.68/10.37 | (all_10_110 = e1) | unit = e4)) | (all_10_93 = e4 & ( ~
% 71.68/10.37 | (all_10_110 = e0) | unit = e4)) | (all_10_94 = e4 & unit = e4)
% 71.68/10.37 | | (all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit = e4)) | (all_10_96
% 71.68/10.37 | = e4 & ( ~ (all_10_94 = e1) | unit = e4)) | (all_10_97 = e4 & ( ~
% 71.68/10.37 | (all_10_94 = e0) | unit = e4)) | (all_10_98 = e4 & unit = e4) |
% 71.68/10.37 | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit = e4)) | (all_10_100
% 71.68/10.37 | = e4 & ( ~ (all_10_98 = e1) | unit = e4)) | (all_10_101 = e4 & (
% 71.68/10.37 | ~ (all_10_98 = e0) | unit = e4)) | (all_10_102 = e4 & unit =
% 71.68/10.37 | e4) | (all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit = e4)) |
% 71.68/10.37 | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit = e4)) |
% 71.68/10.37 | (all_10_105 = e4 & ( ~ (all_10_102 = e0) | unit = e4)) |
% 71.68/10.37 | (all_10_106 = e4 & unit = e4) | (all_10_107 = e4 & ( ~ (all_10_106
% 71.68/10.37 | = e3) | unit = e4)) | (all_10_108 = e4 & ( ~ (all_10_106 =
% 71.68/10.37 | e2) | unit = e4)) | (all_10_109 = e4 & ( ~ (all_10_106 = e1)
% 71.68/10.37 | | unit = e4)) | (all_10_110 = e4 & unit = e4) | (all_10_111 =
% 71.68/10.37 | e4 & ( ~ (all_10_94 = e3) | unit = e4)) | (all_10_112 = e4 & ( ~
% 71.68/10.37 | (all_10_98 = e2) | unit = e4)) | (all_10_113 = e4 & ( ~
% 71.68/10.37 | (all_10_102 = e1) | unit = e4)) | (all_10_114 = e4 & ( ~
% 71.68/10.37 | (all_10_106 = e0) | unit = e4))) & ((all_10_90 = e3 & unit =
% 71.68/10.37 | e3) | (all_10_91 = e3 & ( ~ (all_10_90 = e2) | unit = e3)) |
% 71.68/10.37 | (all_10_92 = e3 & ( ~ (all_10_90 = e1) | unit = e3)) | (all_10_93 =
% 71.68/10.37 | e3 & ( ~ (all_10_90 = e0) | unit = e3)) | (all_10_94 = e3 & ( ~
% 71.68/10.37 | (all_10_111 = e4) | unit = e3)) | (all_10_95 = e3 & ( ~
% 71.68/10.37 | (all_10_111 = e2) | unit = e3)) | (all_10_96 = e3 & ( ~
% 71.68/10.37 | (all_10_111 = e1) | unit = e3)) | (all_10_97 = e3 & ( ~
% 71.68/10.37 | (all_10_111 = e0) | unit = e3)) | (all_10_98 = e3 & ( ~
% 71.68/10.37 | (all_10_99 = e4) | unit = e3)) | (all_10_99 = e3 & unit = e3) |
% 71.68/10.37 | (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit = e3)) | (all_10_101
% 71.68/10.37 | = e3 & ( ~ (all_10_99 = e0) | unit = e3)) | (all_10_102 = e3 & (
% 71.68/10.37 | ~ (all_10_103 = e4) | unit = e3)) | (all_10_103 = e3 & unit =
% 71.68/10.37 | e3) | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit = e3)) |
% 71.68/10.37 | (all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit = e3)) |
% 71.68/10.37 | (all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit = e3)) |
% 71.68/10.37 | (all_10_107 = e3 & unit = e3) | (all_10_108 = e3 & ( ~ (all_10_107
% 71.68/10.37 | = e2) | unit = e3)) | (all_10_109 = e3 & ( ~ (all_10_107 =
% 71.68/10.37 | e1) | unit = e3)) | (all_10_110 = e3 & ( ~ (all_10_90 = e4) |
% 71.68/10.37 | unit = e3)) | (all_10_111 = e3 & unit = e3) | (all_10_112 = e3
% 71.68/10.37 | & ( ~ (all_10_99 = e2) | unit = e3)) | (all_10_113 = e3 & ( ~
% 71.68/10.37 | (all_10_103 = e1) | unit = e3)) | (all_10_114 = e3 & ( ~
% 71.68/10.37 | (all_10_107 = e0) | unit = e3))) & ((all_10_90 = e2 & ( ~
% 71.68/10.37 | (all_10_91 = e3) | unit = e2)) | (all_10_91 = e2 & unit = e2) |
% 71.68/10.37 | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit = e2)) | (all_10_93 =
% 71.68/10.37 | e2 & ( ~ (all_10_91 = e0) | unit = e2)) | (all_10_94 = e2 & ( ~
% 71.68/10.37 | (all_10_95 = e4) | unit = e2)) | (all_10_95 = e2 & unit = e2) |
% 71.68/10.37 | (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit = e2)) | (all_10_97 =
% 71.68/10.37 | e2 & ( ~ (all_10_95 = e0) | unit = e2)) | (all_10_98 = e2 & ( ~
% 71.68/10.37 | (all_10_112 = e4) | unit = e2)) | (all_10_99 = e2 & ( ~
% 71.68/10.37 | (all_10_112 = e3) | unit = e2)) | (all_10_100 = e2 & ( ~
% 71.68/10.37 | (all_10_112 = e1) | unit = e2)) | (all_10_101 = e2 & ( ~
% 71.68/10.37 | (all_10_112 = e0) | unit = e2)) | (all_10_102 = e2 & ( ~
% 71.68/10.37 | (all_10_104 = e4) | unit = e2)) | (all_10_103 = e2 & ( ~
% 71.68/10.37 | (all_10_104 = e3) | unit = e2)) | (all_10_104 = e2 & unit = e2)
% 71.68/10.37 | | (all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit = e2)) |
% 71.68/10.37 | (all_10_106 = e2 & ( ~ (all_10_108 = e4) | unit = e2)) |
% 71.68/10.37 | (all_10_107 = e2 & ( ~ (all_10_108 = e3) | unit = e2)) |
% 71.68/10.37 | (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 & ( ~ (all_10_108
% 71.68/10.37 | = e1) | unit = e2)) | (all_10_110 = e2 & ( ~ (all_10_91 = e4)
% 71.68/10.37 | | unit = e2)) | (all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit
% 71.68/10.37 | = e2)) | (all_10_112 = e2 & unit = e2) | (all_10_113 = e2 & ( ~
% 71.68/10.37 | (all_10_104 = e1) | unit = e2)) | (all_10_114 = e2 & ( ~
% 71.68/10.37 | (all_10_108 = e0) | unit = e2))) & ((all_10_90 = e1 & ( ~
% 71.68/10.37 | (all_10_92 = e3) | unit = e1)) | (all_10_91 = e1 & ( ~
% 71.68/10.37 | (all_10_92 = e2) | unit = e1)) | (all_10_92 = e1 & unit = e1) |
% 71.68/10.37 | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit = e1)) | (all_10_94 =
% 71.68/10.37 | e1 & ( ~ (all_10_96 = e4) | unit = e1)) | (all_10_95 = e1 & ( ~
% 71.68/10.37 | (all_10_96 = e2) | unit = e1)) | (all_10_96 = e1 & unit = e1) |
% 71.68/10.37 | (all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit = e1)) | (all_10_98 =
% 71.68/10.37 | e1 & ( ~ (all_10_100 = e4) | unit = e1)) | (all_10_99 = e1 & ( ~
% 71.68/10.37 | (all_10_100 = e3) | unit = e1)) | (all_10_100 = e1 & unit = e1)
% 71.68/10.37 | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit = e1)) |
% 71.68/10.37 | (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit = e1)) |
% 71.68/10.37 | (all_10_103 = e1 & ( ~ (all_10_113 = e3) | unit = e1)) |
% 71.68/10.37 | (all_10_104 = e1 & ( ~ (all_10_113 = e2) | unit = e1)) |
% 71.68/10.37 | (all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit = e1)) |
% 71.68/10.37 | (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit = e1)) |
% 71.68/10.37 | (all_10_107 = e1 & ( ~ (all_10_109 = e3) | unit = e1)) |
% 71.68/10.37 | (all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit = e1)) |
% 71.68/10.37 | (all_10_109 = e1 & unit = e1) | (all_10_110 = e1 & ( ~ (all_10_92 =
% 71.68/10.37 | e4) | unit = e1)) | (all_10_111 = e1 & ( ~ (all_10_96 = e3) |
% 71.68/10.37 | unit = e1)) | (all_10_112 = e1 & ( ~ (all_10_100 = e2) | unit =
% 71.68/10.37 | e1)) | (all_10_113 = e1 & unit = e1) | (all_10_114 = e1 & ( ~
% 71.68/10.37 | (all_10_109 = e0) | unit = e1))) & ((all_10_90 = e0 & ( ~
% 71.68/10.37 | (all_10_93 = e3) | unit = e0)) | (all_10_91 = e0 & ( ~
% 71.68/10.37 | (all_10_93 = e2) | unit = e0)) | (all_10_92 = e0 & ( ~
% 71.68/10.37 | (all_10_93 = e1) | unit = e0)) | (all_10_93 = e0 & unit = e0) |
% 71.68/10.37 | (all_10_94 = e0 & ( ~ (all_10_97 = e4) | unit = e0)) | (all_10_95 =
% 71.68/10.37 | e0 & ( ~ (all_10_97 = e2) | unit = e0)) | (all_10_96 = e0 & ( ~
% 71.68/10.37 | (all_10_97 = e1) | unit = e0)) | (all_10_97 = e0 & unit = e0) |
% 71.68/10.37 | (all_10_98 = e0 & ( ~ (all_10_101 = e4) | unit = e0)) | (all_10_99
% 71.68/10.37 | = e0 & ( ~ (all_10_101 = e3) | unit = e0)) | (all_10_100 = e0 & (
% 71.68/10.37 | ~ (all_10_101 = e1) | unit = e0)) | (all_10_101 = e0 & unit =
% 71.68/10.37 | e0) | (all_10_102 = e0 & ( ~ (all_10_105 = e4) | unit = e0)) |
% 71.68/10.37 | (all_10_103 = e0 & ( ~ (all_10_105 = e3) | unit = e0)) |
% 71.68/10.37 | (all_10_104 = e0 & ( ~ (all_10_105 = e2) | unit = e0)) |
% 71.68/10.37 | (all_10_105 = e0 & unit = e0) | (all_10_106 = e0 & ( ~ (all_10_114
% 71.68/10.37 | = e4) | unit = e0)) | (all_10_107 = e0 & ( ~ (all_10_114 =
% 71.68/10.37 | e3) | unit = e0)) | (all_10_108 = e0 & ( ~ (all_10_114 = e2)
% 71.68/10.37 | | unit = e0)) | (all_10_109 = e0 & ( ~ (all_10_114 = e1) | unit
% 71.68/10.37 | = e0)) | (all_10_110 = e0 & ( ~ (all_10_93 = e4) | unit = e0))
% 71.68/10.37 | | (all_10_111 = e0 & ( ~ (all_10_97 = e3) | unit = e0)) |
% 71.68/10.37 | (all_10_112 = e0 & ( ~ (all_10_101 = e2) | unit = e0)) |
% 71.68/10.37 | (all_10_113 = e0 & ( ~ (all_10_105 = e1) | unit = e0)) |
% 71.68/10.37 | (all_10_114 = e0 & unit = e0)) & ((all_10_110 = e3 & ~ (all_10_90
% 71.68/10.37 | = e4)) | (all_10_110 = e2 & ~ (all_10_91 = e4)) | (all_10_110
% 71.68/10.37 | = e1 & ~ (all_10_92 = e4)) | (all_10_110 = e0 & ~ (all_10_93 =
% 71.68/10.37 | e4)) | (all_10_111 = e4 & ~ (all_10_94 = e3)) | (all_10_111 =
% 71.68/10.37 | e2 & ~ (all_10_95 = e3)) | (all_10_111 = e1 & ~ (all_10_96 =
% 71.68/10.37 | e3)) | (all_10_111 = e0 & ~ (all_10_97 = e3)) | (all_10_112 =
% 71.68/10.37 | e4 & ~ (all_10_98 = e2)) | (all_10_112 = e3 & ~ (all_10_99 =
% 71.68/10.37 | e2)) | (all_10_112 = e1 & ~ (all_10_100 = e2)) | (all_10_112 =
% 71.68/10.37 | e0 & ~ (all_10_101 = e2)) | (all_10_113 = e4 & ~ (all_10_102 =
% 71.68/10.37 | e1)) | (all_10_113 = e3 & ~ (all_10_103 = e1)) | (all_10_113 =
% 71.68/10.37 | e2 & ~ (all_10_104 = e1)) | (all_10_113 = e0 & ~ (all_10_105 =
% 71.68/10.37 | e1)) | (all_10_114 = e4 & ~ (all_10_106 = e0)) | (all_10_114 =
% 71.68/10.37 | e3 & ~ (all_10_107 = e0)) | (all_10_114 = e2 & ~ (all_10_108 =
% 71.68/10.37 | e0)) | (all_10_114 = e1 & ~ (all_10_109 = e0))) & (( ~
% 71.68/10.37 | (all_10_110 = e4) & ~ (all_10_111 = e4) & ~ (all_10_112 = e4) &
% 71.68/10.37 | ~ (all_10_113 = e4) & ~ (all_10_114 = e4)) | ( ~ (all_10_110 =
% 71.68/10.37 | e3) & ~ (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 71.68/10.37 | (all_10_113 = e3) & ~ (all_10_114 = e3)) | ( ~ (all_10_110 = e2)
% 71.68/10.37 | & ~ (all_10_111 = e2) & ~ (all_10_112 = e2) & ~ (all_10_113 =
% 71.68/10.37 | e2) & ~ (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 71.68/10.37 | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~ (all_10_113 = e1) &
% 71.68/10.37 | ~ (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~ (all_10_111 =
% 71.68/10.37 | e0) & ~ (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 71.68/10.37 | (all_10_114 = e0))) & ((( ~ (all_10_46 = e3) | all_10_47 = e4) &
% 71.68/10.37 | ( ~ (all_10_48 = e2) | all_10_49 = e4) & ( ~ (all_10_50 = e1) |
% 71.68/10.37 | all_10_51 = e4) & ( ~ (all_10_52 = e0) | all_10_53 = e4)) | ((
% 71.68/10.37 | ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~ (all_10_57 = e2) |
% 71.68/10.37 | all_10_58 = e3) & ( ~ (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 71.68/10.37 | (all_10_61 = e0) | all_10_62 = e3)) | (( ~ (all_10_63 = e4) |
% 71.68/10.37 | all_10_64 = e2) & ( ~ (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 71.68/10.37 | (all_10_68 = e1) | all_10_69 = e2) & ( ~ (all_10_70 = e0) |
% 71.68/10.37 | all_10_71 = e2)) | (( ~ (all_10_72 = e4) | all_10_73 = e1) & (
% 71.68/10.37 | ~ (all_10_74 = e3) | all_10_75 = e1) & ( ~ (all_10_76 = e2) |
% 71.68/10.37 | all_10_77 = e1) & ( ~ (all_10_79 = e0) | all_10_80 = e1)) | ((
% 71.68/10.37 | ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~ (all_10_83 = e3) |
% 71.68/10.37 | all_10_84 = e0) & ( ~ (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 71.68/10.37 | (all_10_87 = e1) | all_10_88 = e0)))
% 71.68/10.37 |
% 71.68/10.37 | ALPHA: (227) implies:
% 71.68/10.38 | (228) op(e0, e0) = all_10_114
% 71.68/10.38 | (229) op(e0, e1) = all_10_109
% 71.68/10.38 | (230) op(e0, e2) = all_10_108
% 71.68/10.38 | (231) op(e0, e3) = all_10_107
% 71.68/10.38 | (232) op(e0, e4) = all_10_106
% 71.68/10.38 | (233) op(e0, all_10_109) = all_10_80
% 71.68/10.38 | (234) op(e0, all_10_106) = all_10_53
% 71.68/10.38 | (235) op(e0, all_10_105) = all_10_87
% 71.68/10.38 | (236) op(e0, all_10_93) = all_10_81
% 71.68/10.38 | (237) op(e1, e0) = all_10_105
% 71.68/10.38 | (238) op(e1, e1) = all_10_113
% 71.68/10.38 | (239) op(e1, e2) = all_10_104
% 71.68/10.38 | (240) op(e1, e3) = all_10_103
% 71.68/10.38 | (241) op(e1, e4) = all_10_102
% 71.68/10.38 | (242) op(e1, all_10_109) = all_10_79
% 71.68/10.38 | (243) op(e1, all_10_105) = all_10_88
% 71.68/10.38 | (244) op(e1, all_10_104) = all_10_69
% 71.68/10.38 | (245) op(e1, all_10_103) = all_10_60
% 71.68/10.38 | (246) op(e1, all_10_102) = all_10_51
% 71.68/10.38 | (247) op(e1, all_10_100) = all_10_76
% 71.68/10.38 | (248) op(e1, all_10_96) = all_10_74
% 71.68/10.38 | (249) op(e1, all_10_92) = all_10_72
% 71.68/10.38 | (250) op(e2, e0) = all_10_101
% 71.68/10.38 | (251) op(e2, e1) = all_10_100
% 71.68/10.38 | (252) op(e2, e2) = all_10_112
% 71.68/10.38 | (253) op(e2, e3) = all_10_99
% 71.68/10.38 | (254) op(e2, e4) = all_10_98
% 71.68/10.38 | (255) op(e2, all_10_104) = all_10_68
% 71.68/10.38 | (256) op(e2, all_10_100) = all_10_77
% 71.68/10.38 | (257) op(e2, all_10_99) = all_10_58
% 71.68/10.38 | (258) op(e2, all_10_98) = all_10_49
% 71.68/10.38 | (259) op(e2, all_10_95) = all_10_65
% 71.68/10.38 | (260) op(e2, all_10_91) = all_10_63
% 71.68/10.38 | (261) op(e3, e0) = all_10_97
% 71.68/10.38 | (262) op(e3, e1) = all_10_96
% 71.68/10.38 | (263) op(e3, e2) = all_10_95
% 71.68/10.38 | (264) op(e3, e3) = all_10_111
% 71.68/10.38 | (265) op(e3, e4) = all_10_94
% 71.68/10.38 | (266) op(e3, all_10_103) = all_10_59
% 71.68/10.38 | (267) op(e3, all_10_99) = all_10_57
% 71.68/10.38 | (268) op(e3, all_10_96) = all_10_75
% 71.68/10.38 | (269) op(e3, all_10_95) = all_10_66
% 71.68/10.38 | (270) op(e3, all_10_94) = all_10_47
% 71.68/10.38 | (271) op(e3, all_10_90) = all_10_54
% 71.68/10.38 | (272) op(e4, e0) = all_10_93
% 71.68/10.38 | (273) op(e4, e1) = all_10_92
% 71.68/10.38 | (274) op(e4, e2) = all_10_91
% 71.68/10.38 | (275) op(e4, e3) = all_10_90
% 71.68/10.38 | (276) op(e4, e4) = all_10_110
% 71.68/10.38 | (277) op(e4, all_10_106) = all_10_52
% 71.68/10.38 | (278) op(e4, all_10_102) = all_10_50
% 71.68/10.38 | (279) op(e4, all_10_98) = all_10_48
% 71.68/10.38 | (280) op(e4, all_10_94) = all_10_46
% 71.68/10.38 | (281) op(e4, all_10_93) = all_10_82
% 71.68/10.38 | (282) op(e4, all_10_92) = all_10_73
% 71.68/10.38 | (283) op(e4, all_10_91) = all_10_64
% 71.68/10.38 | (284) op(e4, all_10_90) = all_10_55
% 71.68/10.38 | (285) op(all_10_113, e1) = all_10_33
% 71.68/10.38 | (286) op(all_10_111, e3) = all_10_11
% 71.68/10.38 | (287) op(all_10_110, e4) = all_10_0
% 71.68/10.38 | (288) op(all_10_109, e1) = all_10_43
% 71.68/10.38 | (289) op(all_10_106, e4) = all_10_37
% 71.68/10.38 | (290) op(all_10_105, e1) = all_10_34
% 71.68/10.38 | (291) op(all_10_104, e1) = all_10_31
% 71.68/10.38 | (292) op(all_10_104, e2) = all_10_32
% 71.68/10.38 | (293) op(all_10_103, e1) = all_10_29
% 71.68/10.38 | (294) op(all_10_103, e3) = all_10_30
% 71.68/10.38 | (295) op(all_10_102, e1) = all_10_27
% 71.68/10.38 | (296) op(all_10_102, e4) = all_10_28
% 71.68/10.38 | (297) op(all_10_100, e1) = all_10_24
% 71.68/10.38 | (298) op(all_10_100, e2) = all_10_23
% 71.68/10.38 | (299) op(all_10_99, e2) = all_10_20
% 71.68/10.38 | (300) op(all_10_99, e3) = all_10_21
% 71.68/10.38 | (301) op(all_10_98, e2) = all_10_18
% 71.68/10.38 | (302) op(all_10_98, e4) = all_10_19
% 71.68/10.38 | (303) op(all_10_96, e1) = all_10_15
% 71.68/10.38 | (304) op(all_10_96, e3) = all_10_14
% 71.68/10.38 | (305) op(all_10_95, e2) = all_10_13
% 71.68/10.38 | (306) op(all_10_95, e3) = all_10_12
% 71.68/10.38 | (307) op(all_10_94, e3) = all_10_9
% 71.68/10.38 | (308) op(all_10_94, e4) = all_10_10
% 71.68/10.38 | (309) op(all_10_93, e4) = all_10_7
% 71.68/10.38 | (310) op(all_10_92, e1) = all_10_6
% 71.68/10.38 | (311) op(all_10_92, e4) = all_10_5
% 71.68/10.38 | (312) op(all_10_91, e2) = all_10_4
% 71.68/10.38 | (313) op(all_10_91, e4) = all_10_3
% 71.68/10.38 | (314) op(all_10_90, e3) = all_10_2
% 71.68/10.38 | (315) op(all_10_90, e4) = all_10_1
% 71.68/10.39 | (316) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~ (all_10_48 = e2) |
% 71.68/10.39 | all_10_49 = e4) & ( ~ (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 71.68/10.39 | (all_10_52 = e0) | all_10_53 = e4)) | (( ~ (all_10_54 = e4) |
% 71.68/10.39 | all_10_55 = e3) & ( ~ (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 71.68/10.39 | (all_10_59 = e1) | all_10_60 = e3) & ( ~ (all_10_61 = e0) |
% 71.68/10.39 | all_10_62 = e3)) | (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 71.68/10.39 | (all_10_65 = e3) | all_10_66 = e2) & ( ~ (all_10_68 = e1) |
% 71.68/10.39 | all_10_69 = e2) & ( ~ (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 71.68/10.39 | (all_10_72 = e4) | all_10_73 = e1) & ( ~ (all_10_74 = e3) |
% 71.68/10.39 | all_10_75 = e1) & ( ~ (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 71.68/10.39 | (all_10_79 = e0) | all_10_80 = e1)) | (( ~ (all_10_81 = e4) |
% 71.68/10.39 | all_10_82 = e0) & ( ~ (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 71.68/10.39 | (all_10_85 = e2) | all_10_86 = e0) & ( ~ (all_10_87 = e1) |
% 71.68/10.39 | all_10_88 = e0))
% 71.68/10.39 | (317) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~ (all_10_112 = e4) &
% 71.68/10.39 | ~ (all_10_113 = e4) & ~ (all_10_114 = e4)) | ( ~ (all_10_110 =
% 71.68/10.39 | e3) & ~ (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 71.68/10.39 | (all_10_113 = e3) & ~ (all_10_114 = e3)) | ( ~ (all_10_110 = e2) &
% 71.68/10.39 | ~ (all_10_111 = e2) & ~ (all_10_112 = e2) & ~ (all_10_113 = e2)
% 71.68/10.39 | & ~ (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~ (all_10_111 =
% 71.68/10.39 | e1) & ~ (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 71.68/10.39 | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~ (all_10_111 = e0) &
% 71.68/10.39 | ~ (all_10_112 = e0) & ~ (all_10_113 = e0) & ~ (all_10_114 = e0))
% 71.68/10.39 | (318) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 71.68/10.39 | (all_10_91 = e4)) | (all_10_110 = e1 & ~ (all_10_92 = e4)) |
% 71.68/10.39 | (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 & ~
% 71.68/10.39 | (all_10_94 = e3)) | (all_10_111 = e2 & ~ (all_10_95 = e3)) |
% 71.68/10.39 | (all_10_111 = e1 & ~ (all_10_96 = e3)) | (all_10_111 = e0 & ~
% 71.68/10.39 | (all_10_97 = e3)) | (all_10_112 = e4 & ~ (all_10_98 = e2)) |
% 71.68/10.39 | (all_10_112 = e3 & ~ (all_10_99 = e2)) | (all_10_112 = e1 & ~
% 71.68/10.39 | (all_10_100 = e2)) | (all_10_112 = e0 & ~ (all_10_101 = e2)) |
% 71.68/10.39 | (all_10_113 = e4 & ~ (all_10_102 = e1)) | (all_10_113 = e3 & ~
% 71.68/10.39 | (all_10_103 = e1)) | (all_10_113 = e2 & ~ (all_10_104 = e1)) |
% 71.68/10.39 | (all_10_113 = e0 & ~ (all_10_105 = e1)) | (all_10_114 = e4 & ~
% 71.68/10.39 | (all_10_106 = e0)) | (all_10_114 = e3 & ~ (all_10_107 = e0)) |
% 71.68/10.39 | (all_10_114 = e2 & ~ (all_10_108 = e0)) | (all_10_114 = e1 & ~
% 71.68/10.39 | (all_10_109 = e0))
% 71.68/10.39 | (319) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit = e1)) | (all_10_91 =
% 71.68/10.39 | e1 & ( ~ (all_10_92 = e2) | unit = e1)) | (all_10_92 = e1 & unit =
% 71.68/10.39 | e1) | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit = e1)) |
% 71.68/10.39 | (all_10_94 = e1 & ( ~ (all_10_96 = e4) | unit = e1)) | (all_10_95 =
% 71.68/10.39 | e1 & ( ~ (all_10_96 = e2) | unit = e1)) | (all_10_96 = e1 & unit =
% 71.68/10.39 | e1) | (all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit = e1)) |
% 71.68/10.39 | (all_10_98 = e1 & ( ~ (all_10_100 = e4) | unit = e1)) | (all_10_99 =
% 71.68/10.39 | e1 & ( ~ (all_10_100 = e3) | unit = e1)) | (all_10_100 = e1 & unit
% 71.68/10.39 | = e1) | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit = e1)) |
% 71.68/10.39 | (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit = e1)) | (all_10_103
% 71.68/10.39 | = e1 & ( ~ (all_10_113 = e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 71.68/10.39 | (all_10_113 = e2) | unit = e1)) | (all_10_105 = e1 & ( ~
% 71.68/10.39 | (all_10_113 = e0) | unit = e1)) | (all_10_106 = e1 & ( ~
% 71.68/10.39 | (all_10_109 = e4) | unit = e1)) | (all_10_107 = e1 & ( ~
% 71.68/10.39 | (all_10_109 = e3) | unit = e1)) | (all_10_108 = e1 & ( ~
% 71.68/10.39 | (all_10_109 = e2) | unit = e1)) | (all_10_109 = e1 & unit = e1) |
% 71.68/10.39 | (all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit = e1)) | (all_10_111 =
% 71.68/10.39 | e1 & ( ~ (all_10_96 = e3) | unit = e1)) | (all_10_112 = e1 & ( ~
% 71.68/10.39 | (all_10_100 = e2) | unit = e1)) | (all_10_113 = e1 & unit = e1) |
% 71.68/10.39 | (all_10_114 = e1 & ( ~ (all_10_109 = e0) | unit = e1))
% 71.68/10.39 | (320) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit = e2)) | (all_10_91 =
% 71.68/10.39 | e2 & unit = e2) | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 71.68/10.39 | e2)) | (all_10_93 = e2 & ( ~ (all_10_91 = e0) | unit = e2)) |
% 71.68/10.39 | (all_10_94 = e2 & ( ~ (all_10_95 = e4) | unit = e2)) | (all_10_95 =
% 71.68/10.39 | e2 & unit = e2) | (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit =
% 71.68/10.39 | e2)) | (all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit = e2)) |
% 71.68/10.39 | (all_10_98 = e2 & ( ~ (all_10_112 = e4) | unit = e2)) | (all_10_99 =
% 71.68/10.39 | e2 & ( ~ (all_10_112 = e3) | unit = e2)) | (all_10_100 = e2 & ( ~
% 71.68/10.39 | (all_10_112 = e1) | unit = e2)) | (all_10_101 = e2 & ( ~
% 71.68/10.39 | (all_10_112 = e0) | unit = e2)) | (all_10_102 = e2 & ( ~
% 71.68/10.39 | (all_10_104 = e4) | unit = e2)) | (all_10_103 = e2 & ( ~
% 71.68/10.39 | (all_10_104 = e3) | unit = e2)) | (all_10_104 = e2 & unit = e2) |
% 71.68/10.39 | (all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit = e2)) | (all_10_106
% 71.68/10.39 | = e2 & ( ~ (all_10_108 = e4) | unit = e2)) | (all_10_107 = e2 & ( ~
% 71.68/10.39 | (all_10_108 = e3) | unit = e2)) | (all_10_108 = e2 & unit = e2) |
% 71.68/10.39 | (all_10_109 = e2 & ( ~ (all_10_108 = e1) | unit = e2)) | (all_10_110
% 71.68/10.39 | = e2 & ( ~ (all_10_91 = e4) | unit = e2)) | (all_10_111 = e2 & ( ~
% 71.68/10.39 | (all_10_95 = e3) | unit = e2)) | (all_10_112 = e2 & unit = e2) |
% 71.68/10.39 | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit = e2)) | (all_10_114
% 71.68/10.39 | = e2 & ( ~ (all_10_108 = e0) | unit = e2))
% 71.68/10.39 | (321) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & ( ~ (all_10_90 = e2)
% 71.68/10.39 | | unit = e3)) | (all_10_92 = e3 & ( ~ (all_10_90 = e1) | unit =
% 71.68/10.39 | e3)) | (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit = e3)) |
% 71.68/10.39 | (all_10_94 = e3 & ( ~ (all_10_111 = e4) | unit = e3)) | (all_10_95 =
% 71.68/10.39 | e3 & ( ~ (all_10_111 = e2) | unit = e3)) | (all_10_96 = e3 & ( ~
% 71.68/10.39 | (all_10_111 = e1) | unit = e3)) | (all_10_97 = e3 & ( ~
% 71.68/10.39 | (all_10_111 = e0) | unit = e3)) | (all_10_98 = e3 & ( ~
% 71.68/10.39 | (all_10_99 = e4) | unit = e3)) | (all_10_99 = e3 & unit = e3) |
% 71.68/10.39 | (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit = e3)) | (all_10_101 =
% 71.68/10.39 | e3 & ( ~ (all_10_99 = e0) | unit = e3)) | (all_10_102 = e3 & ( ~
% 71.68/10.39 | (all_10_103 = e4) | unit = e3)) | (all_10_103 = e3 & unit = e3) |
% 71.68/10.39 | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit = e3)) | (all_10_105
% 71.68/10.39 | = e3 & ( ~ (all_10_103 = e0) | unit = e3)) | (all_10_106 = e3 & ( ~
% 71.68/10.39 | (all_10_107 = e4) | unit = e3)) | (all_10_107 = e3 & unit = e3) |
% 71.68/10.39 | (all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit = e3)) | (all_10_109
% 71.68/10.39 | = e3 & ( ~ (all_10_107 = e1) | unit = e3)) | (all_10_110 = e3 & ( ~
% 71.68/10.39 | (all_10_90 = e4) | unit = e3)) | (all_10_111 = e3 & unit = e3) |
% 71.68/10.39 | (all_10_112 = e3 & ( ~ (all_10_99 = e2) | unit = e3)) | (all_10_113 =
% 71.68/10.39 | e3 & ( ~ (all_10_103 = e1) | unit = e3)) | (all_10_114 = e3 & ( ~
% 71.68/10.39 | (all_10_107 = e0) | unit = e3))
% 71.68/10.39 | (322) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit = e4)) | (all_10_91 =
% 71.68/10.39 | e4 & ( ~ (all_10_110 = e2) | unit = e4)) | (all_10_92 = e4 & ( ~
% 71.68/10.39 | (all_10_110 = e1) | unit = e4)) | (all_10_93 = e4 & ( ~
% 71.68/10.39 | (all_10_110 = e0) | unit = e4)) | (all_10_94 = e4 & unit = e4) |
% 71.68/10.39 | (all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit = e4)) | (all_10_96 =
% 71.68/10.39 | e4 & ( ~ (all_10_94 = e1) | unit = e4)) | (all_10_97 = e4 & ( ~
% 71.68/10.39 | (all_10_94 = e0) | unit = e4)) | (all_10_98 = e4 & unit = e4) |
% 71.68/10.39 | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit = e4)) | (all_10_100 =
% 71.68/10.39 | e4 & ( ~ (all_10_98 = e1) | unit = e4)) | (all_10_101 = e4 & ( ~
% 71.68/10.39 | (all_10_98 = e0) | unit = e4)) | (all_10_102 = e4 & unit = e4) |
% 71.68/10.39 | (all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit = e4)) | (all_10_104
% 71.68/10.39 | = e4 & ( ~ (all_10_102 = e2) | unit = e4)) | (all_10_105 = e4 & ( ~
% 71.68/10.39 | (all_10_102 = e0) | unit = e4)) | (all_10_106 = e4 & unit = e4) |
% 71.68/10.39 | (all_10_107 = e4 & ( ~ (all_10_106 = e3) | unit = e4)) | (all_10_108
% 71.68/10.39 | = e4 & ( ~ (all_10_106 = e2) | unit = e4)) | (all_10_109 = e4 & ( ~
% 71.68/10.39 | (all_10_106 = e1) | unit = e4)) | (all_10_110 = e4 & unit = e4) |
% 71.68/10.39 | (all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit = e4)) | (all_10_112 =
% 71.68/10.39 | e4 & ( ~ (all_10_98 = e2) | unit = e4)) | (all_10_113 = e4 & ( ~
% 71.68/10.39 | (all_10_102 = e1) | unit = e4)) | (all_10_114 = e4 & ( ~
% 71.68/10.39 | (all_10_106 = e0) | unit = e4))
% 71.68/10.39 | (323) ~ (all_10_112 = e1) | ~ (all_10_113 = e2) | all_10_104 = e1
% 71.68/10.39 | (324) ~ (all_10_112 = e1) | ~ (all_10_113 = e2) | all_10_100 = e2
% 71.68/10.40 | (325) ~ (all_10_111 = e1) | ~ (all_10_113 = e3) | all_10_103 = e1
% 71.68/10.40 | (326) ~ (all_10_111 = e1) | ~ (all_10_113 = e3) | all_10_96 = e3
% 71.68/10.40 | (327) ~ (all_10_111 = e2) | ~ (all_10_112 = e3) | all_10_99 = e2
% 71.68/10.40 | (328) ~ (all_10_111 = e2) | ~ (all_10_112 = e3) | all_10_95 = e3
% 71.68/10.40 | (329) ~ (all_10_110 = e1) | ~ (all_10_113 = e4) | all_10_102 = e1
% 71.68/10.40 | (330) ~ (all_10_110 = e2) | ~ (all_10_112 = e4) | all_10_98 = e2
% 71.68/10.40 | (331) ~ (all_10_110 = e3) | ~ (all_10_111 = e4) | all_10_94 = e3
% 71.68/10.40 | (332) ~ (all_10_110 = e3) | ~ (all_10_111 = e4) | all_10_90 = e4
% 71.68/10.40 | (333) ~ (all_10_24 = e2) | all_10_23 = e1 | all_10_100 = all_10_104
% 71.68/10.40 | (334) ~ (all_10_19 = e2) | all_10_18 = e4 | all_10_91 = all_10_98
% 71.68/10.40 | (335) ~ (all_10_15 = e3) | all_10_14 = e1 | all_10_96 = all_10_103
% 71.68/10.40 | (336) ~ (all_10_10 = e3) | all_10_9 = e4 | all_10_90 = all_10_94
% 71.68/10.40 | (337) ~ (all_10_2 = e4) | all_10_1 = e3 | all_10_90 = all_10_94
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (10), (12) imply:
% 71.68/10.40 | (338) op(e0, e4) = e4
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (9), (12) imply:
% 71.68/10.40 | (339) op(e0, e3) = e3
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (8), (12) imply:
% 71.68/10.40 | (340) op(e0, e2) = e2
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (7), (12) imply:
% 71.68/10.40 | (341) op(e0, e1) = e1
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (6), (12) imply:
% 71.68/10.40 | (342) op(e4, e0) = e4
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (5), (12) imply:
% 71.68/10.40 | (343) op(e3, e0) = e3
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (4), (12) imply:
% 71.68/10.40 | (344) op(e2, e0) = e2
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (3), (12) imply:
% 71.68/10.40 | (345) op(e1, e0) = e1
% 71.68/10.40 |
% 71.68/10.40 | REDUCE: (2), (12) imply:
% 71.68/10.40 | (346) op(e0, e0) = e0
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_6_24, e0, e0,
% 71.68/10.40 | simplifying with (102), (128) gives:
% 71.68/10.40 | (347) all_6_24 = all_4_24
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_24, e0, e0,
% 71.68/10.40 | simplifying with (128), (170) gives:
% 71.68/10.40 | (348) all_8_24 = all_6_24
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_114, e0,
% 71.68/10.40 | e0, simplifying with (170), (228) gives:
% 71.68/10.40 | (349) all_10_114 = all_8_24
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e0, all_10_114, e0, e0,
% 71.68/10.40 | simplifying with (228), (346) gives:
% 71.68/10.40 | (350) all_10_114 = e0
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_8_23, e1, e0,
% 71.68/10.40 | simplifying with (129), (171) gives:
% 71.68/10.40 | (351) all_8_23 = all_6_23
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_8_23, e1, e0,
% 71.68/10.40 | simplifying with (103), (171) gives:
% 71.68/10.40 | (352) all_8_23 = all_4_19
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_109, e1,
% 71.68/10.40 | e0, simplifying with (129), (229) gives:
% 71.68/10.40 | (353) all_10_109 = all_6_23
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e1, all_10_109, e1, e0,
% 71.68/10.40 | simplifying with (229), (341) gives:
% 71.68/10.40 | (354) all_10_109 = e1
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e2, all_6_22, e2, e0,
% 71.68/10.40 | simplifying with (130), (340) gives:
% 71.68/10.40 | (355) all_6_22 = e2
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_8_22, e2, e0,
% 71.68/10.40 | simplifying with (130), (172) gives:
% 71.68/10.40 | (356) all_8_22 = all_6_22
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_108, e2,
% 71.68/10.40 | e0, simplifying with (172), (230) gives:
% 71.68/10.40 | (357) all_10_108 = all_8_22
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_108, e2,
% 71.68/10.40 | e0, simplifying with (104), (230) gives:
% 71.68/10.40 | (358) all_10_108 = all_4_14
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_6_21, e3, e0,
% 71.68/10.40 | simplifying with (105), (131) gives:
% 71.68/10.40 | (359) all_6_21 = all_4_9
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_21, e3, e0,
% 71.68/10.40 | simplifying with (131), (173) gives:
% 71.68/10.40 | (360) all_8_21 = all_6_21
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_107, e3,
% 71.68/10.40 | e0, simplifying with (173), (231) gives:
% 71.68/10.40 | (361) all_10_107 = all_8_21
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e3, all_10_107, e3, e0,
% 71.68/10.40 | simplifying with (231), (339) gives:
% 71.68/10.40 | (362) all_10_107 = e3
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_106, e4,
% 71.68/10.40 | e0, simplifying with (174), (232) gives:
% 71.68/10.40 | (363) all_10_106 = all_8_20
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_106, e4,
% 71.68/10.40 | e0, simplifying with (132), (232) gives:
% 71.68/10.40 | (364) all_10_106 = all_6_20
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_106, e4, e0,
% 71.68/10.40 | simplifying with (106), (232) gives:
% 71.68/10.40 | (365) all_10_106 = all_4_4
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e4, all_10_106, e4, e0,
% 71.68/10.40 | simplifying with (232), (338) gives:
% 71.68/10.40 | (366) all_10_106 = e4
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_6_19, e0, e1,
% 71.68/10.40 | simplifying with (107), (133) gives:
% 71.68/10.40 | (367) all_6_19 = all_4_23
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_19, e0, e1,
% 71.68/10.40 | simplifying with (133), (175) gives:
% 71.68/10.40 | (368) all_8_19 = all_6_19
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_105, e0,
% 71.68/10.40 | e1, simplifying with (175), (237) gives:
% 71.68/10.40 | (369) all_10_105 = all_8_19
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with e1, all_10_105, e0, e1,
% 71.68/10.40 | simplifying with (237), (345) gives:
% 71.68/10.40 | (370) all_10_105 = e1
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_113, e1,
% 71.68/10.40 | e1, simplifying with (176), (238) gives:
% 71.68/10.40 | (371) all_10_113 = all_8_15
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_113, e1,
% 71.68/10.40 | e1, simplifying with (134), (238) gives:
% 71.68/10.40 | (372) all_10_113 = all_6_18
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_113, e1,
% 71.68/10.40 | e1, simplifying with (108), (238) gives:
% 71.68/10.40 | (373) all_10_113 = all_4_18
% 71.68/10.40 |
% 71.68/10.40 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_8_14, e2, e1,
% 71.68/10.41 | simplifying with (109), (177) gives:
% 71.68/10.41 | (374) all_8_14 = all_4_13
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_104, e2,
% 71.68/10.41 | e1, simplifying with (177), (239) gives:
% 71.68/10.41 | (375) all_10_104 = all_8_14
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_10_104, e2,
% 71.68/10.41 | e1, simplifying with (135), (239) gives:
% 71.68/10.41 | (376) all_10_104 = all_6_17
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_13, e3, e1,
% 71.68/10.41 | simplifying with (136), (178) gives:
% 71.68/10.41 | (377) all_8_13 = all_6_16
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_103, e3,
% 71.68/10.41 | e1, simplifying with (178), (240) gives:
% 71.68/10.41 | (378) all_10_103 = all_8_13
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_103, e3, e1,
% 71.68/10.41 | simplifying with (110), (240) gives:
% 71.68/10.41 | (379) all_10_103 = all_4_8
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_12, e4, e1,
% 71.68/10.41 | simplifying with (137), (179) gives:
% 71.68/10.41 | (380) all_8_12 = all_6_15
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_102, e4,
% 71.68/10.41 | e1, simplifying with (179), (241) gives:
% 71.68/10.41 | (381) all_10_102 = all_8_12
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_102, e4, e1,
% 71.68/10.41 | simplifying with (111), (241) gives:
% 71.68/10.41 | (382) all_10_102 = all_4_3
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_8_18, e0, e2,
% 71.68/10.41 | simplifying with (112), (180) gives:
% 71.68/10.41 | (383) all_8_18 = all_4_22
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with e2, all_8_18, e0, e2,
% 71.68/10.41 | simplifying with (180), (344) gives:
% 71.68/10.41 | (384) all_8_18 = e2
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_101, e0,
% 71.68/10.41 | e2, simplifying with (180), (250) gives:
% 71.68/10.41 | (385) all_10_101 = all_8_18
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_101, e0,
% 71.68/10.41 | e2, simplifying with (138), (250) gives:
% 71.68/10.41 | (386) all_10_101 = all_6_14
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_11, e1, e2,
% 71.68/10.41 | simplifying with (139), (181) gives:
% 71.68/10.41 | (387) all_8_11 = all_6_13
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_100, e1,
% 71.68/10.41 | e2, simplifying with (181), (251) gives:
% 71.68/10.41 | (388) all_10_100 = all_8_11
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_100, e1,
% 71.68/10.41 | e2, simplifying with (113), (251) gives:
% 71.68/10.41 | (389) all_10_100 = all_4_17
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_8, e2, e2,
% 71.68/10.41 | simplifying with (140), (182) gives:
% 71.68/10.41 | (390) all_8_8 = all_6_12
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_112, e2, e2,
% 71.68/10.41 | simplifying with (182), (252) gives:
% 71.68/10.41 | (391) all_10_112 = all_8_8
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_112, e2,
% 71.68/10.41 | e2, simplifying with (114), (252) gives:
% 71.68/10.41 | (392) all_10_112 = all_4_12
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_99, e3, e2,
% 71.68/10.41 | simplifying with (183), (253) gives:
% 71.68/10.41 | (393) all_10_99 = all_8_7
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_10_99, e3, e2,
% 71.68/10.41 | simplifying with (141), (253) gives:
% 71.68/10.41 | (394) all_10_99 = all_6_11
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_99, e3, e2,
% 71.68/10.41 | simplifying with (115), (253) gives:
% 71.68/10.41 | (395) all_10_99 = all_4_7
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_98, e4, e2,
% 71.68/10.41 | simplifying with (184), (254) gives:
% 71.68/10.41 | (396) all_10_98 = all_8_6
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_10_98, e4, e2,
% 71.68/10.41 | simplifying with (142), (254) gives:
% 71.68/10.41 | (397) all_10_98 = all_6_10
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_10_98, e4, e2,
% 71.68/10.41 | simplifying with (116), (254) gives:
% 71.68/10.41 | (398) all_10_98 = all_4_2
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_6_9, e0, e3,
% 71.68/10.41 | simplifying with (117), (143) gives:
% 71.68/10.41 | (399) all_6_9 = all_4_21
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_17, e0, e3,
% 71.68/10.41 | simplifying with (143), (185) gives:
% 71.68/10.41 | (400) all_8_17 = all_6_9
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_17, all_10_97, e0, e3,
% 71.68/10.41 | simplifying with (185), (261) gives:
% 71.68/10.41 | (401) all_10_97 = all_8_17
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with e3, all_10_97, e0, e3,
% 71.68/10.41 | simplifying with (261), (343) gives:
% 71.68/10.41 | (402) all_10_97 = e3
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_10, e1, e3,
% 71.68/10.41 | simplifying with (144), (186) gives:
% 71.68/10.41 | (403) all_8_10 = all_6_8
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_96, e1, e3,
% 71.68/10.41 | simplifying with (186), (262) gives:
% 71.68/10.41 | (404) all_10_96 = all_8_10
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_96, e1, e3,
% 71.68/10.41 | simplifying with (118), (262) gives:
% 71.68/10.41 | (405) all_10_96 = all_4_16
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_5, e2, e3,
% 71.68/10.41 | simplifying with (145), (187) gives:
% 71.68/10.41 | (406) all_8_5 = all_6_7
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_95, e2, e3,
% 71.68/10.41 | simplifying with (187), (263) gives:
% 71.68/10.41 | (407) all_10_95 = all_8_5
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_95, e2, e3,
% 71.68/10.41 | simplifying with (119), (263) gives:
% 71.68/10.41 | (408) all_10_95 = all_4_11
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_111, e3, e3,
% 71.68/10.41 | simplifying with (188), (264) gives:
% 71.68/10.41 | (409) all_10_111 = all_8_3
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_111, e3, e3,
% 71.68/10.41 | simplifying with (146), (264) gives:
% 71.68/10.41 | (410) all_10_111 = all_6_6
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_111, e3, e3,
% 71.68/10.41 | simplifying with (120), (264) gives:
% 71.68/10.41 | (411) all_10_111 = all_4_6
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_94, e4, e3,
% 71.68/10.41 | simplifying with (189), (265) gives:
% 71.68/10.41 | (412) all_10_94 = all_8_2
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_10_94, e4, e3,
% 71.68/10.41 | simplifying with (147), (265) gives:
% 71.68/10.41 | (413) all_10_94 = all_6_5
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_94, e4, e3,
% 71.68/10.41 | simplifying with (121), (265) gives:
% 71.68/10.41 | (414) all_10_94 = all_4_1
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_16, e0, e4,
% 71.68/10.41 | simplifying with (148), (190) gives:
% 71.68/10.41 | (415) all_8_16 = all_6_4
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_8_16, e0, e4,
% 71.68/10.41 | simplifying with (122), (190) gives:
% 71.68/10.41 | (416) all_8_16 = all_4_20
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_93, e0, e4,
% 71.68/10.41 | simplifying with (190), (272) gives:
% 71.68/10.41 | (417) all_10_93 = all_8_16
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with e4, all_10_93, e0, e4,
% 71.68/10.41 | simplifying with (272), (342) gives:
% 71.68/10.41 | (418) all_10_93 = e4
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_92, e1, e4,
% 71.68/10.41 | simplifying with (191), (273) gives:
% 71.68/10.41 | (419) all_10_92 = all_8_9
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_10_92, e1, e4,
% 71.68/10.41 | simplifying with (149), (273) gives:
% 71.68/10.41 | (420) all_10_92 = all_6_3
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_92, e1, e4,
% 71.68/10.41 | simplifying with (123), (273) gives:
% 71.68/10.41 | (421) all_10_92 = all_4_15
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_91, e2, e4,
% 71.68/10.41 | simplifying with (192), (274) gives:
% 71.68/10.41 | (422) all_10_91 = all_8_4
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_91, e2, e4,
% 71.68/10.41 | simplifying with (150), (274) gives:
% 71.68/10.41 | (423) all_10_91 = all_6_2
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_91, e2, e4,
% 71.68/10.41 | simplifying with (124), (274) gives:
% 71.68/10.41 | (424) all_10_91 = all_4_10
% 71.68/10.41 |
% 71.68/10.41 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_1, e3, e4,
% 71.68/10.41 | simplifying with (151), (193) gives:
% 71.68/10.42 | (425) all_8_1 = all_6_1
% 71.68/10.42 |
% 71.68/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_90, e3, e4,
% 71.68/10.42 | simplifying with (193), (275) gives:
% 71.68/10.42 | (426) all_10_90 = all_8_1
% 71.68/10.42 |
% 71.68/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_90, e3, e4,
% 71.68/10.42 | simplifying with (125), (275) gives:
% 71.68/10.42 | (427) all_10_90 = all_4_5
% 71.68/10.42 |
% 71.68/10.42 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_110, e4, e4,
% 71.68/10.42 | simplifying with (194), (276) gives:
% 71.68/10.42 | (428) all_10_110 = all_8_0
% 71.68/10.42 |
% 71.68/10.42 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_10_110, e4, e4,
% 71.68/10.42 | simplifying with (152), (276) gives:
% 71.68/10.42 | (429) all_10_110 = all_6_0
% 71.68/10.42 |
% 71.68/10.42 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_110, e4, e4,
% 71.68/10.42 | simplifying with (126), (276) gives:
% 71.68/10.42 | (430) all_10_110 = all_4_0
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (426), (427) imply:
% 71.68/10.42 | (431) all_8_1 = all_4_5
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (431) implies:
% 71.68/10.42 | (432) all_8_1 = all_4_5
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (422), (424) imply:
% 71.68/10.42 | (433) all_8_4 = all_4_10
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (422), (423) imply:
% 71.68/10.42 | (434) all_8_4 = all_6_2
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (419), (421) imply:
% 71.68/10.42 | (435) all_8_9 = all_4_15
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (419), (420) imply:
% 71.68/10.42 | (436) all_8_9 = all_6_3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (417), (418) imply:
% 71.68/10.42 | (437) all_8_16 = e4
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (437) implies:
% 71.68/10.42 | (438) all_8_16 = e4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (412), (414) imply:
% 71.68/10.42 | (439) all_8_2 = all_4_1
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (412), (413) imply:
% 71.68/10.42 | (440) all_8_2 = all_6_5
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (407), (408) imply:
% 71.68/10.42 | (441) all_8_5 = all_4_11
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (441) implies:
% 71.68/10.42 | (442) all_8_5 = all_4_11
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (404), (405) imply:
% 71.68/10.42 | (443) all_8_10 = all_4_16
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (443) implies:
% 71.68/10.42 | (444) all_8_10 = all_4_16
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (401), (402) imply:
% 71.68/10.42 | (445) all_8_17 = e3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (445) implies:
% 71.68/10.42 | (446) all_8_17 = e3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (396), (398) imply:
% 71.68/10.42 | (447) all_8_6 = all_4_2
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (396), (397) imply:
% 71.68/10.42 | (448) all_8_6 = all_6_10
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (393), (395) imply:
% 71.68/10.42 | (449) all_8_7 = all_4_7
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (393), (394) imply:
% 71.68/10.42 | (450) all_8_7 = all_6_11
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (388), (389) imply:
% 71.68/10.42 | (451) all_8_11 = all_4_17
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (451) implies:
% 71.68/10.42 | (452) all_8_11 = all_4_17
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (385), (386) imply:
% 71.68/10.42 | (453) all_8_18 = all_6_14
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (453) implies:
% 71.68/10.42 | (454) all_8_18 = all_6_14
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (381), (382) imply:
% 71.68/10.42 | (455) all_8_12 = all_4_3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (455) implies:
% 71.68/10.42 | (456) all_8_12 = all_4_3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (378), (379) imply:
% 71.68/10.42 | (457) all_8_13 = all_4_8
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (457) implies:
% 71.68/10.42 | (458) all_8_13 = all_4_8
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (375), (376) imply:
% 71.68/10.42 | (459) all_8_14 = all_6_17
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (459) implies:
% 71.68/10.42 | (460) all_8_14 = all_6_17
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (369), (370) imply:
% 71.68/10.42 | (461) all_8_19 = e1
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (461) implies:
% 71.68/10.42 | (462) all_8_19 = e1
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (363), (364) imply:
% 71.68/10.42 | (463) all_8_20 = all_6_20
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (363), (366) imply:
% 71.68/10.42 | (464) all_8_20 = e4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (363), (365) imply:
% 71.68/10.42 | (465) all_8_20 = all_4_4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (361), (362) imply:
% 71.68/10.42 | (466) all_8_21 = e3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (466) implies:
% 71.68/10.42 | (467) all_8_21 = e3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (357), (358) imply:
% 71.68/10.42 | (468) all_8_22 = all_4_14
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (468) implies:
% 71.68/10.42 | (469) all_8_22 = all_4_14
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (353), (354) imply:
% 71.68/10.42 | (470) all_6_23 = e1
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (470) implies:
% 71.68/10.42 | (471) all_6_23 = e1
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (428), (429) imply:
% 71.68/10.42 | (472) all_8_0 = all_6_0
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (428), (430) imply:
% 71.68/10.42 | (473) all_8_0 = all_4_0
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (409), (411) imply:
% 71.68/10.42 | (474) all_8_3 = all_4_6
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (409), (410) imply:
% 71.68/10.42 | (475) all_8_3 = all_6_6
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (391), (392) imply:
% 71.68/10.42 | (476) all_8_8 = all_4_12
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (476) implies:
% 71.68/10.42 | (477) all_8_8 = all_4_12
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (371), (373) imply:
% 71.68/10.42 | (478) all_8_15 = all_4_18
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (371), (372) imply:
% 71.68/10.42 | (479) all_8_15 = all_6_18
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (349), (350) imply:
% 71.68/10.42 | (480) all_8_24 = e0
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (480) implies:
% 71.68/10.42 | (481) all_8_24 = e0
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (472), (473) imply:
% 71.68/10.42 | (482) all_6_0 = all_4_0
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (482) implies:
% 71.68/10.42 | (483) all_6_0 = all_4_0
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (425), (432) imply:
% 71.68/10.42 | (484) all_6_1 = all_4_5
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (484) implies:
% 71.68/10.42 | (485) all_6_1 = all_4_5
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (439), (440) imply:
% 71.68/10.42 | (486) all_6_5 = all_4_1
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (474), (475) imply:
% 71.68/10.42 | (487) all_6_6 = all_4_6
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (433), (434) imply:
% 71.68/10.42 | (488) all_6_2 = all_4_10
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (406), (442) imply:
% 71.68/10.42 | (489) all_6_7 = all_4_11
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (489) implies:
% 71.68/10.42 | (490) all_6_7 = all_4_11
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (447), (448) imply:
% 71.68/10.42 | (491) all_6_10 = all_4_2
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (449), (450) imply:
% 71.68/10.42 | (492) all_6_11 = all_4_7
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (492) implies:
% 71.68/10.42 | (493) all_6_11 = all_4_7
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (390), (477) imply:
% 71.68/10.42 | (494) all_6_12 = all_4_12
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (494) implies:
% 71.68/10.42 | (495) all_6_12 = all_4_12
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (435), (436) imply:
% 71.68/10.42 | (496) all_6_3 = all_4_15
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (496) implies:
% 71.68/10.42 | (497) all_6_3 = all_4_15
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (403), (444) imply:
% 71.68/10.42 | (498) all_6_8 = all_4_16
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (387), (452) imply:
% 71.68/10.42 | (499) all_6_13 = all_4_17
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (499) implies:
% 71.68/10.42 | (500) all_6_13 = all_4_17
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (380), (456) imply:
% 71.68/10.42 | (501) all_6_15 = all_4_3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (501) implies:
% 71.68/10.42 | (502) all_6_15 = all_4_3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (377), (458) imply:
% 71.68/10.42 | (503) all_6_16 = all_4_8
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (374), (460) imply:
% 71.68/10.42 | (504) all_6_17 = all_4_13
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (504) implies:
% 71.68/10.42 | (505) all_6_17 = all_4_13
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (478), (479) imply:
% 71.68/10.42 | (506) all_6_18 = all_4_18
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (506) implies:
% 71.68/10.42 | (507) all_6_18 = all_4_18
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (415), (438) imply:
% 71.68/10.42 | (508) all_6_4 = e4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (415), (416) imply:
% 71.68/10.42 | (509) all_6_4 = all_4_20
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (400), (446) imply:
% 71.68/10.42 | (510) all_6_9 = e3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (510) implies:
% 71.68/10.42 | (511) all_6_9 = e3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (384), (454) imply:
% 71.68/10.42 | (512) all_6_14 = e2
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (383), (454) imply:
% 71.68/10.42 | (513) all_6_14 = all_4_22
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (368), (462) imply:
% 71.68/10.42 | (514) all_6_19 = e1
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (514) implies:
% 71.68/10.42 | (515) all_6_19 = e1
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (463), (465) imply:
% 71.68/10.42 | (516) all_6_20 = all_4_4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (463), (464) imply:
% 71.68/10.42 | (517) all_6_20 = e4
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (360), (467) imply:
% 71.68/10.42 | (518) all_6_21 = e3
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (518) implies:
% 71.68/10.42 | (519) all_6_21 = e3
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (356), (469) imply:
% 71.68/10.42 | (520) all_6_22 = all_4_14
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (520) implies:
% 71.68/10.42 | (521) all_6_22 = all_4_14
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (351), (352) imply:
% 71.68/10.42 | (522) all_6_23 = all_4_19
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (522) implies:
% 71.68/10.42 | (523) all_6_23 = all_4_19
% 71.68/10.42 |
% 71.68/10.42 | COMBINE_EQS: (348), (481) imply:
% 71.68/10.42 | (524) all_6_24 = e0
% 71.68/10.42 |
% 71.68/10.42 | SIMP: (524) implies:
% 71.68/10.42 | (525) all_6_24 = e0
% 71.68/10.42 |
% 71.68/10.43 | COMBINE_EQS: (508), (509) imply:
% 71.68/10.43 | (526) all_4_20 = e4
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (526) implies:
% 71.68/10.43 | (527) all_4_20 = e4
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (399), (511) imply:
% 71.68/10.43 | (528) all_4_21 = e3
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (528) implies:
% 71.68/10.43 | (529) all_4_21 = e3
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (512), (513) imply:
% 71.68/10.43 | (530) all_4_22 = e2
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (367), (515) imply:
% 71.68/10.43 | (531) all_4_23 = e1
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (516), (517) imply:
% 71.68/10.43 | (532) all_4_4 = e4
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (532) implies:
% 71.68/10.43 | (533) all_4_4 = e4
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (359), (519) imply:
% 71.68/10.43 | (534) all_4_9 = e3
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (534) implies:
% 71.68/10.43 | (535) all_4_9 = e3
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (355), (521) imply:
% 71.68/10.43 | (536) all_4_14 = e2
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (471), (523) imply:
% 71.68/10.43 | (537) all_4_19 = e1
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (537) implies:
% 71.68/10.43 | (538) all_4_19 = e1
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (347), (525) imply:
% 71.68/10.43 | (539) all_4_24 = e0
% 71.68/10.43 |
% 71.68/10.43 | SIMP: (539) implies:
% 71.68/10.43 | (540) all_4_24 = e0
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (352), (538) imply:
% 71.68/10.43 | (541) all_8_23 = e1
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (469), (536) imply:
% 71.68/10.43 | (542) all_8_22 = e2
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (358), (536) imply:
% 71.68/10.43 | (543) all_10_108 = e2
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (376), (505) imply:
% 71.68/10.43 | (544) all_10_104 = all_4_13
% 71.68/10.43 |
% 71.68/10.43 | COMBINE_EQS: (386), (512) imply:
% 71.68/10.43 | (545) all_10_101 = e2
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (95), (527) imply:
% 71.68/10.43 | (546) ~ (all_4_0 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (92), (533) imply:
% 71.68/10.43 | (547) ~ (all_4_1 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (88), (529) imply:
% 71.68/10.43 | (548) ~ (all_4_1 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (86), (533) imply:
% 71.68/10.43 | (549) ~ (all_4_2 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (82), (530) imply:
% 71.68/10.43 | (550) ~ (all_4_2 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (81), (533) imply:
% 71.68/10.43 | (551) ~ (all_4_3 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (77), (531) imply:
% 71.68/10.43 | (552) ~ (all_4_3 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (73), (535) imply:
% 71.68/10.43 | (553) ~ (all_4_5 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (70), (527) imply:
% 71.68/10.43 | (554) ~ (all_4_5 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (65), (529) imply:
% 71.68/10.43 | (555) ~ (all_4_6 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (63), (535) imply:
% 71.68/10.43 | (556) ~ (all_4_7 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (60), (530) imply:
% 71.68/10.43 | (557) ~ (all_4_7 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (59), (535) imply:
% 71.68/10.43 | (558) ~ (all_4_8 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (56), (531) imply:
% 71.68/10.43 | (559) ~ (all_4_8 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (52), (536) imply:
% 71.68/10.43 | (560) ~ (all_4_10 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (50), (527) imply:
% 71.68/10.43 | (561) ~ (all_4_10 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (47), (536) imply:
% 71.68/10.43 | (562) ~ (all_4_11 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (45), (529) imply:
% 71.68/10.43 | (563) ~ (all_4_11 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (42), (530) imply:
% 71.68/10.43 | (564) ~ (all_4_12 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (41), (536) imply:
% 71.68/10.43 | (565) ~ (all_4_13 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (39), (531) imply:
% 71.68/10.43 | (566) ~ (all_4_13 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (35), (538) imply:
% 71.68/10.43 | (567) ~ (all_4_15 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (34), (527) imply:
% 71.68/10.43 | (568) ~ (all_4_15 = e4)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (31), (538) imply:
% 71.68/10.43 | (569) ~ (all_4_16 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (30), (529) imply:
% 71.68/10.43 | (570) ~ (all_4_16 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (28), (538) imply:
% 71.68/10.43 | (571) ~ (all_4_17 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (27), (530) imply:
% 71.68/10.43 | (572) ~ (all_4_17 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (26), (531) imply:
% 71.68/10.43 | (573) ~ (all_4_18 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (25), (527), (529) imply:
% 71.68/10.43 | (574) ~ (e4 = e3)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (24), (527), (530) imply:
% 71.68/10.43 | (575) ~ (e4 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (23), (527), (531) imply:
% 71.68/10.43 | (576) ~ (e4 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (22), (527), (540) imply:
% 71.68/10.43 | (577) ~ (e4 = e0)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (21), (529), (530) imply:
% 71.68/10.43 | (578) ~ (e3 = e2)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (20), (529), (531) imply:
% 71.68/10.43 | (579) ~ (e3 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (19), (529), (540) imply:
% 71.68/10.43 | (580) ~ (e3 = e0)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (18), (530), (531) imply:
% 71.68/10.43 | (581) ~ (e2 = e1)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (17), (530), (540) imply:
% 71.68/10.43 | (582) ~ (e2 = e0)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (16), (531), (540) imply:
% 71.68/10.43 | (583) ~ (e1 = e0)
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (315), (427) imply:
% 71.68/10.43 | (584) op(all_4_5, e4) = all_10_1
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (314), (427) imply:
% 71.68/10.43 | (585) op(all_4_5, e3) = all_10_2
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (313), (424) imply:
% 71.68/10.43 | (586) op(all_4_10, e4) = all_10_3
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (312), (424) imply:
% 71.68/10.43 | (587) op(all_4_10, e2) = all_10_4
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (311), (421) imply:
% 71.68/10.43 | (588) op(all_4_15, e4) = all_10_5
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (310), (421) imply:
% 71.68/10.43 | (589) op(all_4_15, e1) = all_10_6
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (309), (418) imply:
% 71.68/10.43 | (590) op(e4, e4) = all_10_7
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (308), (414) imply:
% 71.68/10.43 | (591) op(all_4_1, e4) = all_10_10
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (307), (414) imply:
% 71.68/10.43 | (592) op(all_4_1, e3) = all_10_9
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (306), (408) imply:
% 71.68/10.43 | (593) op(all_4_11, e3) = all_10_12
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (305), (408) imply:
% 71.68/10.43 | (594) op(all_4_11, e2) = all_10_13
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (304), (405) imply:
% 71.68/10.43 | (595) op(all_4_16, e3) = all_10_14
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (303), (405) imply:
% 71.68/10.43 | (596) op(all_4_16, e1) = all_10_15
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (302), (398) imply:
% 71.68/10.43 | (597) op(all_4_2, e4) = all_10_19
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (301), (398) imply:
% 71.68/10.43 | (598) op(all_4_2, e2) = all_10_18
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (300), (395) imply:
% 71.68/10.43 | (599) op(all_4_7, e3) = all_10_21
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (299), (395) imply:
% 71.68/10.43 | (600) op(all_4_7, e2) = all_10_20
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (298), (389) imply:
% 71.68/10.43 | (601) op(all_4_17, e2) = all_10_23
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (297), (389) imply:
% 71.68/10.43 | (602) op(all_4_17, e1) = all_10_24
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (296), (382) imply:
% 71.68/10.43 | (603) op(all_4_3, e4) = all_10_28
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (295), (382) imply:
% 71.68/10.43 | (604) op(all_4_3, e1) = all_10_27
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (294), (379) imply:
% 71.68/10.43 | (605) op(all_4_8, e3) = all_10_30
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (293), (379) imply:
% 71.68/10.43 | (606) op(all_4_8, e1) = all_10_29
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (292), (544) imply:
% 71.68/10.43 | (607) op(all_4_13, e2) = all_10_32
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (291), (544) imply:
% 71.68/10.43 | (608) op(all_4_13, e1) = all_10_31
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (290), (370) imply:
% 71.68/10.43 | (609) op(e1, e1) = all_10_34
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (289), (366) imply:
% 71.68/10.43 | (610) op(e4, e4) = all_10_37
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (288), (354) imply:
% 71.68/10.43 | (611) op(e1, e1) = all_10_43
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (287), (430) imply:
% 71.68/10.43 | (612) op(all_4_0, e4) = all_10_0
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (286), (411) imply:
% 71.68/10.43 | (613) op(all_4_6, e3) = all_10_11
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (285), (373) imply:
% 71.68/10.43 | (614) op(all_4_18, e1) = all_10_33
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (284), (427) imply:
% 71.68/10.43 | (615) op(e4, all_4_5) = all_10_55
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (283), (424) imply:
% 71.68/10.43 | (616) op(e4, all_4_10) = all_10_64
% 71.68/10.43 |
% 71.68/10.43 | REDUCE: (282), (421) imply:
% 71.68/10.44 | (617) op(e4, all_4_15) = all_10_73
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (281), (418) imply:
% 71.68/10.44 | (618) op(e4, e4) = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (280), (414) imply:
% 71.68/10.44 | (619) op(e4, all_4_1) = all_10_46
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (279), (398) imply:
% 71.68/10.44 | (620) op(e4, all_4_2) = all_10_48
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (278), (382) imply:
% 71.68/10.44 | (621) op(e4, all_4_3) = all_10_50
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (277), (366) imply:
% 71.68/10.44 | (622) op(e4, e4) = all_10_52
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (271), (427) imply:
% 71.68/10.44 | (623) op(e3, all_4_5) = all_10_54
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (270), (414) imply:
% 71.68/10.44 | (624) op(e3, all_4_1) = all_10_47
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (269), (408) imply:
% 71.68/10.44 | (625) op(e3, all_4_11) = all_10_66
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (268), (405) imply:
% 71.68/10.44 | (626) op(e3, all_4_16) = all_10_75
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (267), (395) imply:
% 71.68/10.44 | (627) op(e3, all_4_7) = all_10_57
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (266), (379) imply:
% 71.68/10.44 | (628) op(e3, all_4_8) = all_10_59
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (260), (424) imply:
% 71.68/10.44 | (629) op(e2, all_4_10) = all_10_63
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (259), (408) imply:
% 71.68/10.44 | (630) op(e2, all_4_11) = all_10_65
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (258), (398) imply:
% 71.68/10.44 | (631) op(e2, all_4_2) = all_10_49
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (257), (395) imply:
% 71.68/10.44 | (632) op(e2, all_4_7) = all_10_58
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (256), (389) imply:
% 71.68/10.44 | (633) op(e2, all_4_17) = all_10_77
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (255), (544) imply:
% 71.68/10.44 | (634) op(e2, all_4_13) = all_10_68
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (249), (421) imply:
% 71.68/10.44 | (635) op(e1, all_4_15) = all_10_72
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (248), (405) imply:
% 71.68/10.44 | (636) op(e1, all_4_16) = all_10_74
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (247), (389) imply:
% 71.68/10.44 | (637) op(e1, all_4_17) = all_10_76
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (246), (382) imply:
% 71.68/10.44 | (638) op(e1, all_4_3) = all_10_51
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (245), (379) imply:
% 71.68/10.44 | (639) op(e1, all_4_8) = all_10_60
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (244), (544) imply:
% 71.68/10.44 | (640) op(e1, all_4_13) = all_10_69
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (243), (370) imply:
% 71.68/10.44 | (641) op(e1, e1) = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (242), (354) imply:
% 71.68/10.44 | (642) op(e1, e1) = all_10_79
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (236), (418) imply:
% 71.68/10.44 | (643) op(e0, e4) = all_10_81
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (235), (370) imply:
% 71.68/10.44 | (644) op(e0, e1) = all_10_87
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (234), (366) imply:
% 71.68/10.44 | (645) op(e0, e4) = all_10_53
% 71.68/10.44 |
% 71.68/10.44 | REDUCE: (233), (354) imply:
% 71.68/10.44 | (646) op(e0, e1) = all_10_80
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with e1, all_10_80, e1, e0,
% 71.68/10.44 | simplifying with (341), (646) gives:
% 71.68/10.44 | (647) all_10_80 = e1
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_87, all_10_80, e1,
% 71.68/10.44 | e0, simplifying with (644), (646) gives:
% 71.68/10.44 | (648) all_10_80 = all_10_87
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with e4, all_10_53, e4, e0,
% 71.68/10.44 | simplifying with (338), (645) gives:
% 71.68/10.44 | (649) all_10_53 = e4
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_81, all_10_53, e4,
% 71.68/10.44 | e0, simplifying with (643), (645) gives:
% 71.68/10.44 | (650) all_10_53 = all_10_81
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_79, e1, e1,
% 71.68/10.44 | simplifying with (108), (642) gives:
% 71.68/10.44 | (651) all_10_79 = all_4_18
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_79, all_10_43, e1,
% 71.68/10.44 | e1, simplifying with (611), (642) gives:
% 71.68/10.44 | (652) all_10_43 = all_10_79
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_43, all_10_34, e1,
% 71.68/10.44 | e1, simplifying with (609), (611) gives:
% 71.68/10.44 | (653) all_10_34 = all_10_43
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_88, all_10_34, e1,
% 71.68/10.44 | e1, simplifying with (609), (641) gives:
% 71.68/10.44 | (654) all_10_34 = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_52, e4, e4,
% 71.68/10.44 | simplifying with (126), (622) gives:
% 71.68/10.44 | (655) all_10_52 = all_4_0
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_52, all_10_37, e4,
% 71.68/10.44 | e4, simplifying with (610), (622) gives:
% 71.68/10.44 | (656) all_10_37 = all_10_52
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_37, all_10_7, e4, e4,
% 71.68/10.44 | simplifying with (590), (610) gives:
% 71.68/10.44 | (657) all_10_7 = all_10_37
% 71.68/10.44 |
% 71.68/10.44 | GROUND_INST: instantiating (function-axioms) with all_10_82, all_10_7, e4, e4,
% 71.68/10.44 | simplifying with (590), (618) gives:
% 71.68/10.44 | (658) all_10_7 = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (657), (658) imply:
% 71.68/10.44 | (659) all_10_37 = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | SIMP: (659) implies:
% 71.68/10.44 | (660) all_10_37 = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (653), (654) imply:
% 71.68/10.44 | (661) all_10_43 = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | SIMP: (661) implies:
% 71.68/10.44 | (662) all_10_43 = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (656), (660) imply:
% 71.68/10.44 | (663) all_10_52 = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | SIMP: (663) implies:
% 71.68/10.44 | (664) all_10_52 = all_10_82
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (652), (662) imply:
% 71.68/10.44 | (665) all_10_79 = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | SIMP: (665) implies:
% 71.68/10.44 | (666) all_10_79 = all_10_88
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (655), (664) imply:
% 71.68/10.44 | (667) all_10_82 = all_4_0
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (649), (650) imply:
% 71.68/10.44 | (668) all_10_81 = e4
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (651), (666) imply:
% 71.68/10.44 | (669) all_10_88 = all_4_18
% 71.68/10.44 |
% 71.68/10.44 | COMBINE_EQS: (647), (648) imply:
% 71.68/10.44 | (670) all_10_87 = e1
% 71.68/10.44 |
% 71.68/10.44 | BETA: splitting (323) gives:
% 71.68/10.44 |
% 71.68/10.44 | Case 1:
% 71.68/10.44 | |
% 71.68/10.44 | | (671) ~ (all_10_112 = e1)
% 71.68/10.44 | |
% 71.68/10.44 | | REDUCE: (392), (671) imply:
% 71.68/10.44 | | (672) ~ (all_4_12 = e1)
% 71.68/10.44 | |
% 71.68/10.44 | | BETA: splitting (325) gives:
% 71.68/10.44 | |
% 71.68/10.44 | | Case 1:
% 71.68/10.44 | | |
% 71.68/10.44 | | | (673) ~ (all_10_111 = e1)
% 71.68/10.44 | | |
% 71.68/10.44 | | | REDUCE: (411), (673) imply:
% 71.68/10.44 | | | (674) ~ (all_4_6 = e1)
% 71.68/10.44 | | |
% 71.68/10.44 | | | BETA: splitting (327) gives:
% 71.68/10.44 | | |
% 71.68/10.44 | | | Case 1:
% 71.68/10.44 | | | |
% 71.68/10.44 | | | | (675) ~ (all_10_111 = e2)
% 71.68/10.44 | | | |
% 71.68/10.44 | | | | REDUCE: (411), (675) imply:
% 71.68/10.44 | | | | (676) ~ (all_4_6 = e2)
% 71.68/10.44 | | | |
% 71.68/10.44 | | | | BETA: splitting (329) gives:
% 71.68/10.44 | | | |
% 71.68/10.44 | | | | Case 1:
% 71.68/10.44 | | | | |
% 71.68/10.44 | | | | | (677) ~ (all_10_110 = e1)
% 71.68/10.44 | | | | |
% 71.68/10.44 | | | | | REDUCE: (430), (677) imply:
% 71.68/10.44 | | | | | (678) ~ (all_4_0 = e1)
% 71.68/10.44 | | | | |
% 71.68/10.44 | | | | | BETA: splitting (330) gives:
% 71.68/10.44 | | | | |
% 71.68/10.44 | | | | | Case 1:
% 71.68/10.44 | | | | | |
% 71.68/10.44 | | | | | | (679) ~ (all_10_110 = e2)
% 71.68/10.44 | | | | | |
% 71.68/10.44 | | | | | | REDUCE: (430), (679) imply:
% 71.68/10.44 | | | | | | (680) ~ (all_4_0 = e2)
% 71.68/10.44 | | | | | |
% 71.68/10.44 | | | | | | BETA: splitting (331) gives:
% 71.68/10.44 | | | | | |
% 71.68/10.44 | | | | | | Case 1:
% 71.68/10.44 | | | | | | |
% 71.68/10.44 | | | | | | | (681) ~ (all_10_110 = e3)
% 71.68/10.44 | | | | | | |
% 71.68/10.44 | | | | | | | REDUCE: (430), (681) imply:
% 71.68/10.44 | | | | | | | (682) ~ (all_4_0 = e3)
% 71.68/10.44 | | | | | | |
% 71.68/10.44 | | | | | | | BETA: splitting (168) gives:
% 71.68/10.44 | | | | | | |
% 71.68/10.44 | | | | | | | Case 1:
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | (683) all_6_0 = e0
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | COMBINE_EQS: (483), (683) imply:
% 71.68/10.44 | | | | | | | | (684) all_4_0 = e0
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (684) implies:
% 71.68/10.44 | | | | | | | | (685) all_4_0 = e0
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | COMBINE_EQS: (473), (685) imply:
% 71.68/10.44 | | | | | | | | (686) all_8_0 = e0
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | COMBINE_EQS: (430), (685) imply:
% 71.68/10.44 | | | | | | | | (687) all_10_110 = e0
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (101), (685) imply:
% 71.68/10.44 | | | | | | | | (688) ~ (all_4_1 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (688) implies:
% 71.68/10.44 | | | | | | | | (689) ~ (all_4_1 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (100), (685) imply:
% 71.68/10.44 | | | | | | | | (690) ~ (all_4_2 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (690) implies:
% 71.68/10.44 | | | | | | | | (691) ~ (all_4_2 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (99), (685) imply:
% 71.68/10.44 | | | | | | | | (692) ~ (all_4_3 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (692) implies:
% 71.68/10.44 | | | | | | | | (693) ~ (all_4_3 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (98), (685) imply:
% 71.68/10.44 | | | | | | | | (694) ~ (all_4_5 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (694) implies:
% 71.68/10.44 | | | | | | | | (695) ~ (all_4_5 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (97), (685) imply:
% 71.68/10.44 | | | | | | | | (696) ~ (all_4_10 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (696) implies:
% 71.68/10.44 | | | | | | | | (697) ~ (all_4_10 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (96), (685) imply:
% 71.68/10.44 | | | | | | | | (698) ~ (all_4_15 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | SIMP: (698) implies:
% 71.68/10.44 | | | | | | | | (699) ~ (all_4_15 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (546), (685) imply:
% 71.68/10.44 | | | | | | | | (700) ~ (e4 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (682), (685) imply:
% 71.68/10.44 | | | | | | | | (701) ~ (e3 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | REDUCE: (680), (685) imply:
% 71.68/10.44 | | | | | | | | (702) ~ (e2 = e0)
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | BETA: splitting (163) gives:
% 71.68/10.44 | | | | | | | |
% 71.68/10.44 | | | | | | | | Case 1:
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | (703) all_6_6 = e0
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | COMBINE_EQS: (487), (703) imply:
% 71.68/10.44 | | | | | | | | | (704) all_4_6 = e0
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | COMBINE_EQS: (411), (704) imply:
% 71.68/10.44 | | | | | | | | | (705) all_10_111 = e0
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | REDUCE: (69), (704) imply:
% 71.68/10.44 | | | | | | | | | (706) ~ (all_4_7 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | SIMP: (706) implies:
% 71.68/10.44 | | | | | | | | | (707) ~ (all_4_7 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | REDUCE: (67), (704) imply:
% 71.68/10.44 | | | | | | | | | (708) ~ (all_4_11 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | SIMP: (708) implies:
% 71.68/10.44 | | | | | | | | | (709) ~ (all_4_11 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | REDUCE: (66), (704) imply:
% 71.68/10.44 | | | | | | | | | (710) ~ (all_4_16 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | SIMP: (710) implies:
% 71.68/10.44 | | | | | | | | | (711) ~ (all_4_16 = e0)
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | BETA: splitting (166) gives:
% 71.68/10.44 | | | | | | | | |
% 71.68/10.44 | | | | | | | | | Case 1:
% 71.68/10.44 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | (712) all_6_2 = e0
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | COMBINE_EQS: (488), (712) imply:
% 71.68/10.45 | | | | | | | | | | (713) all_4_10 = e0
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | REDUCE: (697), (713) imply:
% 71.68/10.45 | | | | | | | | | | (714) $false
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | CLOSE: (714) is inconsistent.
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | Case 2:
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | (715) ~ (all_6_2 = e0)
% 71.68/10.45 | | | | | | | | | | (716) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 71.68/10.45 | | | | | | | | | | all_6_2 = e1
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | BETA: splitting (159) gives:
% 71.68/10.45 | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | Case 1:
% 71.68/10.45 | | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | | (717) all_6_11 = e0
% 71.68/10.45 | | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | | COMBINE_EQS: (493), (717) imply:
% 71.68/10.45 | | | | | | | | | | | (718) all_4_7 = e0
% 71.68/10.45 | | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | | REDUCE: (707), (718) imply:
% 71.68/10.45 | | | | | | | | | | | (719) $false
% 71.68/10.45 | | | | | | | | | | |
% 71.68/10.45 | | | | | | | | | | | CLOSE: (719) is inconsistent.
% 71.68/10.45 | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | Case 2:
% 72.04/10.45 | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | (720) ~ (all_6_11 = e0)
% 72.04/10.45 | | | | | | | | | | | (721) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 72.04/10.45 | | | | | | | | | | | all_6_11 = e1
% 72.04/10.45 | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | BETA: splitting (160) gives:
% 72.04/10.45 | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | (722) all_6_10 = e0
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | COMBINE_EQS: (491), (722) imply:
% 72.04/10.45 | | | | | | | | | | | | (723) all_4_2 = e0
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | REDUCE: (691), (723) imply:
% 72.04/10.45 | | | | | | | | | | | | (724) $false
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | CLOSE: (724) is inconsistent.
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | Case 2:
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | (725) ~ (all_6_10 = e0)
% 72.04/10.45 | | | | | | | | | | | | (726) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 72.04/10.45 | | | | | | | | | | | | all_6_10 = e1
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | BETA: splitting (162) gives:
% 72.04/10.45 | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | (727) all_6_7 = e0
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | REF_CLOSE: (490), (709), (727) are inconsistent by sub-proof
% 72.04/10.45 | | | | | | | | | | | | | #276.
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | Case 2:
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | (728) ~ (all_6_7 = e0)
% 72.04/10.45 | | | | | | | | | | | | | (729) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 72.04/10.45 | | | | | | | | | | | | | all_6_7 = e1
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | BETA: splitting (157) gives:
% 72.04/10.45 | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | (730) all_6_13 = e0
% 72.04/10.45 | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | COMBINE_EQS: (500), (730) imply:
% 72.04/10.45 | | | | | | | | | | | | | | (731) all_4_17 = e0
% 72.04/10.45 | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | REDUCE: (43), (731) imply:
% 72.04/10.45 | | | | | | | | | | | | | | (732) ~ (all_4_12 = e0)
% 72.04/10.45 | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 72.04/10.45 | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | (733) all_8_4 = e1
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | COMBINE_EQS: (433), (733) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | (734) all_4_10 = e1
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | SIMP: (734) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | (735) all_4_10 = e1
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | REDUCE: (72), (735) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | (736) ~ (all_4_5 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | REDUCE: (54), (735) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | (737) ~ (all_4_12 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | REDUCE: (561), (735) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | (738) ~ (e4 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 72.04/10.45 | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | (739) all_8_2 = e1
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (739) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | (740) all_4_1 = e1
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | SIMP: (740) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | | (741) all_4_1 = e1
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | REDUCE: (94), (741) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | (742) ~ (all_4_2 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | SIMP: (742) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | | (743) ~ (all_4_2 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | REDUCE: (90), (741) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | (744) ~ (all_4_11 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | SIMP: (744) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | | (745) ~ (all_4_11 = e1)
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | BETA: splitting (726) gives:
% 72.04/10.45 | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | (746) all_6_10 = e4
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (549), (746) are inconsistent by sub-proof
% 72.04/10.45 | | | | | | | | | | | | | | | | | #275.
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | (747) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | BETA: splitting (729) gives:
% 72.04/10.45 | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | (748) all_6_7 = e4
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (748) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | (749) all_4_11 = e4
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | REDUCE: (49), (749) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | (750) ~ (all_4_12 = e4)
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | SIMP: (750) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | (751) ~ (all_4_12 = e4)
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | BETA: splitting (747) gives:
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | (752) all_6_10 = e3
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (752) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | (753) all_4_2 = e3
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | REDUCE: (84), (753) imply:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | (754) ~ (all_4_12 = e3)
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | SIMP: (754) implies:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | (755) ~ (all_4_12 = e3)
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (495), (564), (672), (732), (751), (755)
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #269.
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | (756) all_6_10 = e2 | all_6_10 = e1
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (550), (743), (756) are inconsistent by
% 72.04/10.45 | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 72.04/10.45 | | | | | | | | | | | | | | | | | | |
% 72.04/10.45 | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.45 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (757) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (745), (757) are inconsistent
% 72.04/10.46 | | | | | | | | | | | | | | | | | | by sub-proof #265.
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | (758) ~ (all_8_2 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | REDUCE: (439), (758) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | (759) ~ (all_4_1 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (760) all_8_0 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (760) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | (761) e1 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | REDUCE: (583), (761) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | (762) $false
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | CLOSE: (762) is inconsistent.
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (763) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 72.04/10.46 | | | | | | | | | | | | | | | | | all_8_20 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (216), (432), (439), (447), (449), (456),
% 72.04/10.46 | | | | | | | | | | | | | | | | | (458), (464), (467), (474), (552), (559), (576),
% 72.04/10.46 | | | | | | | | | | | | | | | | | (579), (674), (736), (759), (763) are inconsistent
% 72.04/10.46 | | | | | | | | | | | | | | | | | by sub-proof #259.
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | (764) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 72.04/10.46 | | | | | | | | | | | | | | | all_8_22 = e1
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | BETA: splitting (764) gives:
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | (765) all_8_5 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (765) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | (766) all_4_11 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | SIMP: (766) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | (767) all_4_11 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | REDUCE: (90), (767) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | (768) ~ (all_4_1 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | REDUCE: (55), (767) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | (769) ~ (all_4_10 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (770) all_8_0 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (770) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | (771) e1 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | REDUCE: (583), (771) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | (772) $false
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | CLOSE: (772) is inconsistent.
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (773) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 72.04/10.46 | | | | | | | | | | | | | | | | | all_8_20 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | BETA: splitting (773) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (774) all_8_2 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (768), (774) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | | | | #264.
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (775) all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (776) all_8_6 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (776) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (777) all_4_2 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | SIMP: (777) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (778) all_4_2 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | REDUCE: (85), (778) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (779) ~ (all_4_7 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | SIMP: (779) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (780) ~ (all_4_7 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | REDUCE: (84), (778) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (781) ~ (all_4_12 = e1)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (721) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (782) all_6_11 = e4
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (782) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (783) all_4_7 = e4
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (783) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (784) ~ (all_4_12 = e4)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | SIMP: (784) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (785) ~ (all_4_12 = e4)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (716) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (786) all_6_2 = e4
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (786) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (787) all_4_10 = e4
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (787) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (788) $false
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | CLOSE: (788) is inconsistent.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (789) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (158), (488), (495), (560), (564), (672),
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (732), (769), (785), (789) are inconsistent by
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | sub-proof #257.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (790) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (780), (790) are inconsistent
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | by sub-proof #253.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (791) all_8_12 = e1 | all_8_20 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (464), (552), (576), (791) are inconsistent
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | by sub-proof #260.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | (792) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | REF_CLOSE: (374), (477), (542), (566), (581), (672), (792)
% 72.04/10.46 | | | | | | | | | | | | | | | | are inconsistent by sub-proof #252.
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | End of split
% 72.04/10.46 | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | (793) ~ (all_6_13 = e0)
% 72.04/10.46 | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | REDUCE: (500), (793) imply:
% 72.04/10.46 | | | | | | | | | | | | | | (794) ~ (all_4_17 = e0)
% 72.04/10.46 | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 72.04/10.46 | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | (795) all_8_6 = e0
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | REF_CLOSE: (447), (691), (795) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | #251.
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | (796) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 72.04/10.46 | | | | | | | | | | | | | | | all_8_18 = e0
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 72.04/10.46 | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | (797) all_8_9 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | REF_CLOSE: (435), (699), (797) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | | #250.
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | (798) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 72.04/10.46 | | | | | | | | | | | | | | | | all_8_23 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | BETA: splitting (798) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (799) all_8_10 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (711), (799) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | | | #249.
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | (800) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | BETA: splitting (800) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (801) all_8_11 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (794), (801) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | | | | #248.
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (802) ~ (all_8_11 = e0)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | (803) all_8_15 = e0 | all_8_23 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | BETA: splitting (796) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (804) all_8_7 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (707), (804) are inconsistent by sub-proof
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | #247.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | (805) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (805) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (806) all_8_8 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (806) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (807) all_4_12 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | SIMP: (807) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (808) all_4_12 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (808) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (809) all_10_112 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | REDUCE: (672), (808) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | (810) ~ (e1 = e0)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (811) all_8_15 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (811) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (812) all_4_18 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (812) implies:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (813) all_4_18 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (813) imply:
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (814) all_10_113 = e0
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (318), (350), (370), (402), (418), (545), (577),
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | (580), (582), (583), (687), (705), (809), (814)
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #246.
% 72.04/10.46 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (815) all_8_23 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (815) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (816) e1 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | SIMP: (816) implies:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (817) e1 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (817) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (818) $false
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (818) is inconsistent.
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | (819) all_8_11 = e0 | all_8_18 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (582), (794), (819) are inconsistent
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | by sub-proof #244.
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | End of split
% 72.04/10.47 | | | | | | | | |
% 72.04/10.47 | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | |
% 72.04/10.47 | | | | | | | | | (820) ~ (all_6_6 = e0)
% 72.04/10.47 | | | | | | | | | (821) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6
% 72.04/10.47 | | | | | | | | | = e1
% 72.04/10.47 | | | | | | | | |
% 72.04/10.47 | | | | | | | | | REDUCE: (487), (820) imply:
% 72.04/10.47 | | | | | | | | | (822) ~ (all_4_6 = e0)
% 72.04/10.47 | | | | | | | | |
% 72.04/10.47 | | | | | | | | | BETA: splitting (821) gives:
% 72.04/10.47 | | | | | | | | |
% 72.04/10.47 | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | (823) all_6_6 = e4
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | COMBINE_EQS: (487), (823) imply:
% 72.04/10.47 | | | | | | | | | | (824) all_4_6 = e4
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | COMBINE_EQS: (474), (824) imply:
% 72.04/10.47 | | | | | | | | | | (825) all_8_3 = e4
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | REDUCE: (69), (824) imply:
% 72.04/10.47 | | | | | | | | | | (826) ~ (all_4_7 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | SIMP: (826) implies:
% 72.04/10.47 | | | | | | | | | | (827) ~ (all_4_7 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | REDUCE: (68), (824) imply:
% 72.04/10.47 | | | | | | | | | | (828) ~ (all_4_8 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | SIMP: (828) implies:
% 72.04/10.47 | | | | | | | | | | (829) ~ (all_4_8 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | REDUCE: (67), (824) imply:
% 72.04/10.47 | | | | | | | | | | (830) ~ (all_4_11 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | SIMP: (830) implies:
% 72.04/10.47 | | | | | | | | | | (831) ~ (all_4_11 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | REDUCE: (66), (824) imply:
% 72.04/10.47 | | | | | | | | | | (832) ~ (all_4_16 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | SIMP: (832) implies:
% 72.04/10.47 | | | | | | | | | | (833) ~ (all_4_16 = e4)
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | REDUCE: (613), (824) imply:
% 72.04/10.47 | | | | | | | | | | (834) op(e4, e3) = all_10_11
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5,
% 72.04/10.47 | | | | | | | | | | all_10_11, e3, e4, simplifying with (125), (834)
% 72.04/10.47 | | | | | | | | | | gives:
% 72.04/10.47 | | | | | | | | | | (835) all_10_11 = all_4_5
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | BETA: splitting (156) gives:
% 72.04/10.47 | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | (836) all_6_15 = e0
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | REF_CLOSE: (502), (693), (836) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | #243.
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | (837) ~ (all_6_15 = e0)
% 72.04/10.47 | | | | | | | | | | | (838) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 72.04/10.47 | | | | | | | | | | | all_6_15 = e1
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | BETA: splitting (166) gives:
% 72.04/10.47 | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | (839) all_6_2 = e0
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | COMBINE_EQS: (488), (839) imply:
% 72.04/10.47 | | | | | | | | | | | | (840) all_4_10 = e0
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | REDUCE: (697), (840) imply:
% 72.04/10.47 | | | | | | | | | | | | (841) $false
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | CLOSE: (841) is inconsistent.
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | (842) ~ (all_6_2 = e0)
% 72.04/10.47 | | | | | | | | | | | | (843) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 72.04/10.47 | | | | | | | | | | | | all_6_2 = e1
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | BETA: splitting (167) gives:
% 72.04/10.47 | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | (844) all_6_1 = e0
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | REF_CLOSE: (485), (695), (844) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | #242.
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | (845) ~ (all_6_1 = e0)
% 72.04/10.47 | | | | | | | | | | | | | (846) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 72.04/10.47 | | | | | | | | | | | | | all_6_1 = e1
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | BETA: splitting (155) gives:
% 72.04/10.47 | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | (847) all_6_16 = e0
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | COMBINE_EQS: (503), (847) imply:
% 72.04/10.47 | | | | | | | | | | | | | | (848) all_4_8 = e0
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | SIMP: (848) implies:
% 72.04/10.47 | | | | | | | | | | | | | | (849) all_4_8 = e0
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | COMBINE_EQS: (458), (849) imply:
% 72.04/10.47 | | | | | | | | | | | | | | (850) all_8_13 = e0
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | REDUCE: (64), (849) imply:
% 72.04/10.47 | | | | | | | | | | | | | | (851) ~ (all_4_7 = e0)
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | REDUCE: (110), (849) imply:
% 72.04/10.47 | | | | | | | | | | | | | | (852) op(e1, e3) = e0
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 72.04/10.47 | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | (853) all_8_1 = e2
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | COMBINE_EQS: (432), (853) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (854) all_4_5 = e2
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | SIMP: (854) implies:
% 72.04/10.47 | | | | | | | | | | | | | | | (855) all_4_5 = e2
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (75), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (856) ~ (all_4_7 = e2)
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (72), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (857) ~ (all_4_10 = e2)
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (71), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (858) ~ (all_4_15 = e2)
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | SIMP: (858) implies:
% 72.04/10.47 | | | | | | | | | | | | | | | (859) ~ (all_4_15 = e2)
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (554), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (860) ~ (e4 = e2)
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (585), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (861) op(e2, e3) = all_10_2
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (125), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (862) op(e4, e3) = e2
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | REDUCE: (623), (855) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | (863) op(e3, e2) = all_10_54
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 72.04/10.47 | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | (864) all_6_11 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | REF_CLOSE: (493), (851), (864) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | | | | #241.
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | (865) ~ (all_6_11 = e0)
% 72.04/10.47 | | | | | | | | | | | | | | | | (866) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 72.04/10.47 | | | | | | | | | | | | | | | | all_6_11 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | BETA: splitting (866) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | (867) all_6_11 = e4
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (827), (867) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | | | | | #240.
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | (868) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | BETA: splitting (868) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | (869) all_6_11 = e3
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (869) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | | | | | | #256.
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | (870) all_6_11 = e2 | all_6_11 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | BETA: splitting (870) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (871) all_6_11 = e2
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (557), (871) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | #255.
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (872) all_6_11 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (872) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (873) all_4_7 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | SIMP: (873) implies:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (874) all_4_7 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (61), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (875) ~ (all_4_17 = e1)
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (557), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (876) ~ (e2 = e1)
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (599), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (877) op(e1, e3) = all_10_21
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (600), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (878) op(e1, e2) = all_10_20
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (627), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (879) op(e3, e1) = all_10_57
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (632), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (880) op(e2, e1) = all_10_58
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | REDUCE: (115), (874) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | (881) op(e2, e3) = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | (882) all_6_3 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (699), (882) are inconsistent by sub-proof
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | #239.
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | (883) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (884) all_8_0 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (884) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (885) e1 = e0
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (885) imply:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (886) $false
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | CLOSE: (886) is inconsistent.
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | (887) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (887) gives:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | |
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.04/10.47 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | (888) all_8_1 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (853), (888) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | (889) e2 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | SIMP: (889) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | (890) e2 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (890) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | (891) $false
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (891) is inconsistent.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | (892) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (892) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (893) all_8_4 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (893) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (894) all_4_10 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (894) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (895) all_4_10 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (895) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (896) ~ (all_4_11 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (896) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (897) ~ (all_4_11 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (895) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (898) ~ (all_4_12 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (895) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (899) ~ (all_4_15 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (895) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (900) op(e1, e2) = all_10_4
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (895) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | (901) op(e2, e1) = all_10_63
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (902) all_6_7 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (902) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (903) all_4_11 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (903) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (904) all_8_5 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (903) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (905) ~ (all_4_12 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (905) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (906) ~ (all_4_12 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (903) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (907) ~ (all_4_13 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (907) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (908) ~ (all_4_13 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (903) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (909) ~ (all_4_16 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (909) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (910) ~ (all_4_16 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (903) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | (911) op(e3, e2) = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (912) all_8_2 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (912) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_4_1 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (913) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_4_1 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (914) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (915) ~ (all_4_2 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (915) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (916) ~ (all_4_2 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (914) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (917) ~ (all_4_3 = e1)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (914) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (918) op(e1, e3) = all_10_9
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (914) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | (919) op(e3, e1) = all_10_47
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_8_2 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (912), (920) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (921) e2 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (921) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (922) $false
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (922) is inconsistent.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_8_3 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (575), (825), (924) are inconsistent by sub-proof
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | #238.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_6_10 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (691), (926) are inconsistent by sub-proof
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #237.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) ~ (all_6_10 = e0)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (928) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_6_10 = e4
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (549), (929) are inconsistent by sub-proof
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #275.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) ~ (all_6_10 = e4)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (931) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) all_6_10 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (932) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_4_2 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (933) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_4_2 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (934) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) ~ (all_4_3 = e3)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (935) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) ~ (all_4_3 = e3)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (934) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) ~ (all_4_12 = e3)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (937) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) ~ (all_4_12 = e3)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (934) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) op(e3, e2) = all_10_18
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (934) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) op(e4, e3) = all_10_48
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (934) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) op(e2, e3) = all_10_49
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) all_6_12 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (942) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) all_4_12 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (906), (943) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) $false
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (944) is inconsistent.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (945) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_6_12 = e4
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (946) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_4_12 = e4
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (947) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_8_8 = e4
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (947) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) ~ (all_4_17 = e4)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (949) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) ~ (all_4_17 = e4)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_8_5 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (951) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) e2 = e0
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (952) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) $false
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (953) is inconsistent.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_8_10 = e2 | all_8_17 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (954) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) all_8_10 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (955) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_4_16 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (956) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_4_16 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) ~ (all_4_17 = e2)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) op(e2, e3) = all_10_14
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) op(e2, e1) = all_10_15
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) op(e3, e2) = all_10_75
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) op(e3, e1) = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (957) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) op(e1, e2) = all_10_74
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_8_12 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (964) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_4_3 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (965) implies:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_4_3 = e2
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (966) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) ~ (e3 = e2)
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (966) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) op(e2, e1) = all_10_27
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (966) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) op(e1, e2) = all_10_51
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) all_8_4 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (893), (970) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) e3 = e1
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (971) imply:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) $false
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent.
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_8_5 = e3
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (904), (974) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) e3 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (975) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) $false
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (976) is inconsistent.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) ~ (all_8_5 = e3)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (883) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_6_3 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (979) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_4_15 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (980) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) $false
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (981) is inconsistent.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) ~ (all_6_3 = e4)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) all_6_13 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (984) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) all_4_17 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (985) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_4_17 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (986) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) ~ (all_4_18 = e0)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (987) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) ~ (all_4_18 = e0)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (986) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) ~ (e1 = e0)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (986) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) op(e2, e1) = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) all_8_12 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (964), (991) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) e4 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (992) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) $false
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (993) is inconsistent.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (978) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) all_8_8 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (948), (995) are inconsistent by sub-proof
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #236.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_8_14 = e3 | all_8_22 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_8_14 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (997) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) all_4_13 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (998) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_4_13 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (999) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) op(e3, e2) = all_10_32
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (999) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) op(e3, e1) = all_10_31
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (999) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) op(e2, e3) = all_10_68
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (999) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) op(e1, e3) = all_10_69
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (999) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) op(e1, e2) = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_8_9 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1005) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_4_15 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1006) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_4_15 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (1007) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) ~ (e4 = e3)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (1007) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) op(e3, e1) = all_10_6
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1007) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) op(e1, e3) = all_10_72
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (994) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_8_13 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (83), (157), (195), (374), (462), (478),
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491), (500), (549), (550), (571), (572), (577),
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (583), (908), (916), (928), (950), (964),
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) are inconsistent by sub-proof #227.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1012) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_8_14 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (997), (1013) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) e4 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1014) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) $false
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1015) is inconsistent.
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_8_15 = e4 | all_8_19 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1016) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_8_15 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (1017) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) all_4_18 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1018) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_4_18 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1019) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_10_88 = e4
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_74,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e1, simplifying with (878), (963)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) all_10_20 = all_10_74
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e1, simplifying with (878), (1004)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_10_20 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e1, simplifying with (878), (900)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_10_4 = all_10_20
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_51,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e1, simplifying with (900), (969)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_10_4 = all_10_51
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e3, e1, simplifying with (1003), (1010)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) all_10_69 = all_10_72
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_69,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (877), (1003)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_10_21 = all_10_69
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_21,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e1, simplifying with (877), (918)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) all_10_9 = all_10_21
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_9,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (852), (918) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_10_9 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_58, e1, e2, simplifying with (880), (990)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_10_58 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_58,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e2, simplifying with (880), (968)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) all_10_27 = all_10_58
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e2, simplifying with (960), (968)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_10_15 = all_10_27
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_63,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e2, simplifying with (901), (960)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_10_15 = all_10_63
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e2, simplifying with (941), (959)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_10_14 = all_10_49
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_68,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e2, simplifying with (959), (1002)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_10_14 = all_10_68
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_14,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e3, e2, simplifying with (861), (959)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) all_10_2 = all_10_14
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_2,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (861), (881) gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_10_2 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_57,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_31, e1, e3, simplifying with (879), (1001)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_10_31 = all_10_57
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_31, e1, e3, simplifying with (962), (1001)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_10_31 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e1, e3, simplifying with (1001), (1009)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_10_6 = all_10_31
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e1, e3, simplifying with (919), (1009)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_10_6 = all_10_47
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e3, simplifying with (863), (1000)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) all_10_32 = all_10_54
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_75,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e3, simplifying with (961), (1000)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) all_10_32 = all_10_75
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e3, simplifying with (939), (1000)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) all_10_18 = all_10_32
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e3, simplifying with (911), (939)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_10_18 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_48, e3, e4, simplifying with (862), (940)
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_10_48 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1035), (1036) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) all_10_14 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1046) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) all_10_14 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1024) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) all_10_20 = all_10_51
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1048) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) all_10_20 = all_10_51
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1039), (1040) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_10_31 = all_10_47
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1050) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_10_31 = all_10_47
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1027), (1028) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) all_10_21 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1052) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) all_10_21 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (1034) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) all_10_49 = all_10_68
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (1047) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) all_10_49 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1031), (1032) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_10_27 = all_10_63
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1056) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_10_27 = all_10_63
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1043), (1044) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_10_32 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1058) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) all_10_32 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1021), (1049) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) all_10_51 = all_10_74
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1022), (1049) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) all_10_51 = e3
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1026), (1053) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) all_10_69 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1062) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_10_69 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1030), (1057) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_10_58 = all_10_63
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1064) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_10_58 = all_10_63
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1038), (1051) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_10_47 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1037), (1051) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_10_47 = all_10_57
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (1042) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_10_54 = all_10_75
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (1059) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_10_54 = e0
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1066), (1067) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) all_10_57 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1070) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) all_10_57 = e2
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1054), (1055) imply:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_10_68 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1072) implies:
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_10_68 = e1
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1060), (1061) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_10_74 = e3
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1068), (1069) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_10_75 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1029), (1065) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) all_10_63 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (1063) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) all_10_72 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1078) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1079) implies:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) ~ (all_10_48 = e2) | all_10_49 = e4
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1080) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) ~ (all_10_48 = e2)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1045), (1081) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) $false
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1082) is inconsistent.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) all_10_49 = e4
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1055), (1083) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) e4 = e1
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1084) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) $false
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1085) is inconsistent.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1086) implies:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) ~ (all_10_57 = e2) | all_10_58 = e3
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1029), (1071), (1087) are inconsistent by
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #226.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1088) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1089) implies:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) ~ (all_10_68 = e1) | all_10_69 = e2
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (1063), (1073), (1090) are inconsistent by
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #225.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1091) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1092) implies:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) ~ (all_10_74 = e3) | all_10_75 = e1
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1074), (1075), (1093) are inconsistent by
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1094) implies:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) ~ (all_10_87 = e1) | all_10_88 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1095) gives:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) ~ (all_10_87 = e1)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (1096) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) $false
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1097) is inconsistent.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_10_88 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1020), (1098) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) e4 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1017), (1099) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_8_15 = e0
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (576), (577), (1016), (1100) are
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_8_19 = e4
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1101) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) e4 = e1
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1102) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) $false
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1103) is inconsistent.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) ~ (all_8_9 = e3)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (1104) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) ~ (all_4_15 = e3)
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (859), (983), (1105) are
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #220.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_8_22 = e3
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1106) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) e3 = e2
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1107) imply:
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) $false
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1108) is inconsistent.
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (225), (439), (447), (464), (500), (548),
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571), (572), (574), (578), (580), (686), (950),
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964), (1109) are inconsistent by sub-proof #215.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (all_8_12 = e2)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (1110) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) ~ (all_4_3 = e2)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (552), (838), (936), (1111) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #213.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_8_17 = e2
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (578), (1112) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (938), (1113) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_6_10 = e2 | all_6_10 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (550), (916), (1114) are inconsistent by
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1115) ~ (all_8_2 = e1)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (1115) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1116) ~ (all_4_1 = e1)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_6_5 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (689), (1117) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | #211.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (161), (486), (498), (547), (548), (569),
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (570), (833), (910), (1116), (1118) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (831), (897), (1119) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (all_8_4 = e1)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (1120) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | (1121) ~ (all_4_10 = e1)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (843) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (1122) all_6_2 = e4
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1122) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_4_10 = e4
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1123) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (1124) $false
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1124) is inconsistent.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1125) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1126) all_6_2 = e3
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1126) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_4_10 = e3
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1127) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1128) ~ (all_4_15 = e3)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1128) implies:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1129) ~ (all_4_15 = e3)
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (859), (883), (1129) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | (1130) all_6_2 = e2 | all_6_2 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (1121), (1130) are inconsistent by
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | (1131) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 72.15/10.51 | | | | | | | | | | | | | | | all_8_21 = e2
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | BETA: splitting (1131) gives:
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | (1132) all_8_3 = e2
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | REF_CLOSE: (575), (825), (1132) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | #238.
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | (1133) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | BETA: splitting (1133) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | (1134) all_8_7 = e2
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (557), (1134) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | | #197.
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | (1135) all_8_13 = e2 | all_8_21 = e2
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (850), (1135) are
% 72.15/10.51 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | End of split
% 72.15/10.51 | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | (1136) ~ (all_6_16 = e0)
% 72.15/10.51 | | | | | | | | | | | | | | (1137) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 72.15/10.51 | | | | | | | | | | | | | | all_6_16 = e1
% 72.15/10.51 | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | REDUCE: (503), (1136) imply:
% 72.15/10.51 | | | | | | | | | | | | | | (1138) ~ (all_4_8 = e0)
% 72.15/10.51 | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 72.15/10.51 | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | (1139) all_8_1 = e0
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | REF_CLOSE: (432), (695), (1139) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | #194.
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | (1140) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 72.15/10.51 | | | | | | | | | | | | | | | all_8_21 = e0
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | BETA: splitting (1140) gives:
% 72.15/10.51 | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | (1141) all_8_3 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | REF_CLOSE: (577), (825), (1141) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | #193.
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | (1142) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | BETA: splitting (1137) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | (1143) all_6_16 = e4
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (829), (1143) are inconsistent by sub-proof
% 72.15/10.51 | | | | | | | | | | | | | | | | | #192.
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | (1144) ~ (all_6_16 = e4)
% 72.15/10.51 | | | | | | | | | | | | | | | | | (1145) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | BETA: splitting (1142) gives:
% 72.15/10.51 | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | (1146) all_8_7 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1146) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | (1147) all_4_7 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | SIMP: (1147) implies:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | (1148) all_4_7 = e0
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | REDUCE: (64), (1148) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | (1149) ~ (all_4_8 = e0)
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | REDUCE: (62), (1148) imply:
% 72.15/10.51 | | | | | | | | | | | | | | | | | | (1150) ~ (all_4_12 = e0)
% 72.15/10.51 | | | | | | | | | | | | | | | | | |
% 72.15/10.51 | | | | | | | | | | | | | | | | | | SIMP: (1150) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | (1151) ~ (all_4_12 = e0)
% 72.15/10.52 | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | REDUCE: (61), (1148) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | (1152) ~ (all_4_17 = e0)
% 72.15/10.52 | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | SIMP: (1152) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | (1153) ~ (all_4_17 = e0)
% 72.15/10.52 | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | REDUCE: (115), (1148) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | (1154) op(e2, e3) = e0
% 72.15/10.52 | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | BETA: splitting (1145) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | (1155) all_6_16 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1155) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | (1156) all_4_8 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | SIMP: (1156) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | (1157) all_4_8 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | REDUCE: (558), (1157) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | (1158) $false
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | CLOSE: (1158) is inconsistent.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | (1159) all_6_16 = e2 | all_6_16 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1160) all_8_6 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1160) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1161) all_4_2 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | SIMP: (1161) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1162) all_4_2 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1163) ~ (all_4_1 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1164) ~ (all_4_12 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1165) ~ (all_4_17 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1166) ~ (e4 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1167) ~ (e2 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1168) op(e1, e2) = all_10_18
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1169) op(e4, e1) = all_10_48
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1162) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | (1170) op(e2, e1) = all_10_49
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | (1171) all_8_2 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (1163), (1171) are inconsistent by
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | sub-proof #264.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | (1172) all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | all_8_17 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1172) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | (1173) all_8_3 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (825), (1173) are inconsistent by sub-proof
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | #191.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | (1174) all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | (1175) all_6_5 = e0
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1175) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | (1176) all_4_1 = e0
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (1176) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | (1177) $false
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1177) is inconsistent.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | (1178) ~ (all_6_5 = e0)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | (1179) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_8_0 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (1180) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | (1181) e3 = e0
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1181) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | (1182) $false
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1182) is inconsistent.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_8_1 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (1184) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_4_5 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1185) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_4_5 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1187) ~ (all_4_8 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1188) ~ (all_4_10 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1188) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1189) ~ (all_4_10 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1190) ~ (e3 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1191) op(e1, e3) = all_10_2
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1192) op(e4, e1) = all_10_55
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (1186) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | (1193) op(e3, e1) = all_10_54
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1183) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_8_2 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (548), (1194) are inconsistent by sub-proof
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_8_6 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1160), (1196) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) e3 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1197) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) $false
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1198) is inconsistent.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_8_12 = e3 | all_8_20 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1199) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_8_12 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1200) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_4_3 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1201) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_4_3 = e3
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1202) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) ~ (all_4_13 = e3)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1203) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_4_13 = e3)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1202) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) ~ (all_4_18 = e3)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) ~ (all_4_18 = e3)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (1202) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) op(e3, e1) = all_10_27
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (1202) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) op(e1, e3) = all_10_51
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1174) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_8_5 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (1209) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_4_11 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_4_11 = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_4_13 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_4_16 = e1)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) op(e1, e3) = all_10_12
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) op(e1, e2) = all_10_13
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) op(e3, e1) = all_10_66
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) op(e3, e2) = e1
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (1211) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) op(e2, e1) = all_10_65
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_6_16 = e2
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1219) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_4_8 = e2
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) ~ (all_4_13 = e2)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) ~ (e4 = e2)
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) op(e2, e3) = all_10_30
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) op(e2, e1) = all_10_29
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) op(e3, e2) = all_10_59
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) op(e1, e2) = all_10_60
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1220) imply:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) op(e1, e3) = e2
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_8_0 = e2
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (686), (1228) are inconsistent by sub-proof
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #190.
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.15/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) ~ (all_8_0 = e2)
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e2
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_8_0 = e2
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (686), (1231) are inconsistent by sub-proof
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #190.
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e2
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1232) gives:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_8_1 = e2
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1184), (1233) imply:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) e2 = e1
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (1234) imply:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) $false
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1235) is inconsistent.
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1236) gives:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.35/10.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_8_4 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (560), (1237) are inconsistent by sub-proof
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #189.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_8_9 = e2 | all_8_16 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (843) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_6_2 = e4
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (561), (1239) are inconsistent by sub-proof
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #188.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) ~ (all_6_2 = e4)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_8_2 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (689), (1242) are inconsistent by sub-proof
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #187.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_8_3 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (825), (1244) are inconsistent by sub-proof
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #193.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1245) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_8_5 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1209), (1246) are inconsistent by
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #186.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_8_10 = e0 | all_8_17 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1247) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) all_8_10 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1248) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) all_4_16 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1249) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_4_16 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1250) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) ~ (all_4_18 = e0)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1251) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) ~ (all_4_18 = e0)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (1250) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) ~ (e1 = e0)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1250) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) op(e3, e1) = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) all_8_9 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1255) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_4_15 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1256) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_4_15 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1257) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) ~ (all_4_17 = e2)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1257) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_4_18 = e2)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1259) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) ~ (all_4_18 = e2)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (1257) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) op(e2, e1) = all_10_6
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1257) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) op(e4, e1) = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1257) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) op(e1, e2) = all_10_72
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1230) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_8_2 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1264) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_4_1 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1265) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_4_1 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1266) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (e3 = e2)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1266) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) op(e2, e3) = all_10_9
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (1266) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) op(e3, e2) = all_10_47
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_8_4 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (697), (1270) are inconsistent by sub-proof
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #185.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1271) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_8_5 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1209), (1272) are inconsistent by
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #186.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_6_18 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1252), (1274) are inconsistent by
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1275) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_6_18 = e4
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1276) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_4_18 = e4
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_4_18 = e4
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1278) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_10_88 = e4
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1278) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_4_13 = e4)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1278) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_4_17 = e4)
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (1278) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) op(e4, e1) = all_10_33
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_6_17 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1283) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_4_13 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_4_13 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1285) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) op(e1, e2) = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) all_6_13 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (1153), (1287) are inconsistent by
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #183.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_8_9 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1255), (1289) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) e3 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1200), (1290) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_8_12 = e2
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (225), (439), (447), (464), (500), (548),
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (571), (572), (574), (578), (580), (686), (1281),
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288), (1291) are inconsistent by sub-proof #215.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_8_10 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1248), (1293) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) e3 = e0
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1294) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) $false
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1295) is inconsistent.
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1296) gives:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_8_11 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1297) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_4_17 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1298) implies:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_4_17 = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1299) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) op(e3, e2) = all_10_23
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (1299) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) op(e3, e1) = all_10_24
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (1299) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) op(e2, e3) = all_10_77
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1299) imply:
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) op(e2, e1) = e3
% 72.50/10.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (1299) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) op(e1, e3) = all_10_76
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_8_4 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (1305) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_4_10 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1306) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_4_10 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1307) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) ~ (e4 = e3)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (1307) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) op(e3, e2) = all_10_4
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (1307) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op(e2, e3) = all_10_63
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e1, simplifying with (1168), (1263)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_10_18 = all_10_72
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e1, simplifying with (1168), (1286)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_10_18 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_18,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (1168), (1215)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_10_13 = all_10_18
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_60,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (1215), (1226)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_10_13 = all_10_60
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_76,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (1208), (1304)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_10_51 = all_10_76
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_51,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e1, simplifying with (1208), (1214)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_10_12 = all_10_51
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_12,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e3, e1, simplifying with (1191), (1214)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_10_2 = all_10_12
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_2,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (1191), (1227) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_10_2 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_49, e1, e2, simplifying with (1170), (1303)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_10_49 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e2, simplifying with (1170), (1224)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_10_29 = all_10_49
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e1, e2, simplifying with (1224), (1261)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_10_6 = all_10_29
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_65,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_6, e1, e2, simplifying with (1218), (1261)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_10_6 = all_10_65
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_63, e3, e2, simplifying with (1154), (1310)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_10_63 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_63,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e3, e2, simplifying with (1223), (1310)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_10_30 = all_10_63
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e2, simplifying with (1223), (1268)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_10_9 = all_10_30
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_77,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e2, simplifying with (1268), (1302)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_10_9 = all_10_77
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e3, simplifying with (1193), (1207)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_10_27 = all_10_54
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e3, simplifying with (1207), (1254)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_10_27 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e3, simplifying with (1193), (1301)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_10_24 = all_10_54
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_66,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e3, simplifying with (1216), (1301)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_10_24 = all_10_66
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e3, simplifying with (1269), (1300)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_10_23 = all_10_47
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_59,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e3, simplifying with (1225), (1300)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_10_23 = all_10_59
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_23,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e3, simplifying with (1300), (1309)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_10_4 = all_10_23
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_4,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1217), (1309) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_10_4 = e1
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_48, e1, e4, simplifying with (1169), (1262)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_10_48 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e1, e4, simplifying with (1169), (1282)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_10_33 = all_10_48
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_55,
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e1, e4, simplifying with (1192), (1282)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_10_33 = all_10_55
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1317), (1318) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_10_12 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1338) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_10_12 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1333), (1334) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_10_23 = e1
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1340) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_10_23 = e1
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1321), (1322) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_10_29 = all_10_65
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1342) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_10_29 = all_10_65
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1325), (1326) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_10_30 = all_10_77
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1344) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_10_30 = all_10_77
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1316), (1339) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_10_51 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1346) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_10_51 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1313), (1314) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_10_18 = all_10_60
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1348) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_10_18 = all_10_60
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1311), (1349) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_10_60 = all_10_72
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1312), (1349) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_10_60 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1331), (1332) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_10_47 = all_10_59
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1331), (1341) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_10_47 = e1
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1330) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_10_54 = all_10_66
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1354) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_10_54 = all_10_66
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1327), (1328) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_10_54 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1356) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_10_54 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1320), (1343) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_10_49 = all_10_65
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1358) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_10_49 = all_10_65
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1324), (1345) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_10_63 = all_10_77
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1360) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_10_63 = all_10_77
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1336), (1337) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_10_48 = all_10_55
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1362) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_10_48 = all_10_55
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1352), (1353) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_10_59 = e1
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1335), (1363) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_10_55 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1319), (1359) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_10_65 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1366) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_10_65 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (1347) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_10_76 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1368) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_10_76 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1355), (1357) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_10_66 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1370) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_10_66 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1350), (1351) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_10_72 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1323), (1361) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_10_77 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1373) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_10_77 = e0
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1376) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) ~ (all_10_48 = e2) | all_10_49 = e4
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1377) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_10_48 = e2)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1335), (1378) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) $false
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1379) is inconsistent.
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_10_49 = e4
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1319), (1380) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) e4 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1381) imply:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) $false
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1382) is inconsistent.
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1383) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) ~ (all_10_59 = e1) | all_10_60 = e3
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (1351), (1364), (1384) are inconsistent by
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #182.
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1385) gives:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1386) implies:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) ~ (all_10_65 = e3) | all_10_66 = e2
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (1367), (1371), (1387) are inconsistent by
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #181.
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1388) gives:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1389) implies:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) ~ (all_10_76 = e2) | all_10_77 = e1
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1369), (1374), (1390) are inconsistent by
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1391) implies:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) ~ (all_10_87 = e1) | all_10_88 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_10_87 = e1)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (1393) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) $false
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1394) is inconsistent.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_10_88 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1279), (1395) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) e4 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1396) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) $false
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1397) is inconsistent.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) ~ (all_8_4 = e3)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (1398) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) ~ (all_4_10 = e3)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (1189), (1241), (1399) are
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #179.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_8_15 = e3 | all_8_23 = e3
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (1206), (1400) are
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #178.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_8_8 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1151), (1402) are inconsistent by
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_8_14 = e0 | all_8_22 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (505), (542), (565), (566), (580), (582),
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280), (1401), (1403) are inconsistent by
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #174.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (1206), (1260), (1404) are
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) ~ (all_8_2 = e2)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (1405) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) ~ (all_4_1 = e2)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (90), (208), (374), (433), (442), (477), (486),
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (542), (547), (548), (566), (672), (1179), (1189),
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) are inconsistent by sub-proof #168.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) ~ (all_8_9 = e2)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (1407) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) ~ (all_4_15 = e2)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1238) gives:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_8_9 = e2
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (1408), (1409) are inconsistent by
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_8_16 = e2
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (575), (1410) are inconsistent by sub-proof
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #166.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_8_17 = e0
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (580), (1411) are inconsistent by sub-proof
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #165.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_6_16 = e1
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1412) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_4_8 = e1
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1413) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) $false
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1414) is inconsistent.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_8_5 = e1)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (1415) imply:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (all_4_11 = e1)
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (208), (374), (433), (442), (477), (542), (566),
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581), (672), (1189), (1416) are inconsistent by
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #169.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_8_20 = e3
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (464), (574), (1417) are inconsistent by sub-proof
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #218.
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_8_1 = e1)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (1418) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1419) ~ (all_4_5 = e1)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (846) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_6_1 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (554), (1420) are inconsistent by sub-proof
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | #164.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1159) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_6_16 = e2
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1422) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_4_8 = e2
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1423) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (all_4_5 = e2)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (1419), (1421), (1424) are
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_6_16 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1425) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_4_8 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1426) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) $false
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1427) is inconsistent.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | (1428) ~ (all_8_6 = e1)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (1428) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | (1429) ~ (all_4_2 = e1)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | (1430) all_6_10 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1430) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | (1431) all_4_2 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | REDUCE: (691), (1431) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | (1432) $false
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1432) is inconsistent.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | (1433) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1433) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | (1434) all_6_10 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1434) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | (1435) all_4_2 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (1435) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | (1436) $false
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1436) is inconsistent.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | (1437) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1437) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1438) all_6_10 = e3
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1438) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1439) all_4_2 = e3
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1439) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1440) ~ (all_4_12 = e3)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1440) implies:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1441) ~ (all_4_12 = e3)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1439) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1442) ~ (all_4_17 = e3)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1443) ~ (all_4_17 = e3)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_6_13 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (1153), (1444) are inconsistent by
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #183.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1445) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_6_13 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (1446) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_4_17 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1447) implies:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_4_17 = e4
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (1448) imply:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1449) ~ (all_4_12 = e4)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (158), (495), (564), (672), (1151), (1441), (1449)
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #269.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (1443), (1450) are
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #232.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | (1451) all_6_10 = e2 | all_6_10 = e1
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (550), (1429), (1451) are inconsistent by
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | (1452) all_8_13 = e0 | all_8_21 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | BETA: splitting (1452) gives:
% 72.50/10.58 | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | (1453) all_8_13 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (1138), (1453) are inconsistent by
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | sub-proof #161.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | (1454) all_8_21 = e0
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (580), (1454) are inconsistent by sub-proof
% 72.50/10.58 | | | | | | | | | | | | | | | | | | | #160.
% 72.50/10.58 | | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | (1455) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REF_CLOSE: (487), (555), (674), (676), (1455) are
% 72.50/10.58 | | | | | | | | | | inconsistent by sub-proof #157.
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | End of split
% 72.50/10.58 | | | | | | | | |
% 72.50/10.58 | | | | | | | | End of split
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | (1456) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 =
% 72.50/10.58 | | | | | | | | e1
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | REF_CLOSE: (483), (546), (678), (680), (682), (1456) are
% 72.50/10.58 | | | | | | | | inconsistent by sub-proof #153.
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | End of split
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | Case 2:
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | (1457) all_10_110 = e3
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | COMBINE_EQS: (430), (1457) imply:
% 72.50/10.58 | | | | | | | (1458) all_4_0 = e3
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | COMBINE_EQS: (473), (1458) imply:
% 72.50/10.58 | | | | | | | (1459) all_8_0 = e3
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (101), (1458) imply:
% 72.50/10.58 | | | | | | | (1460) ~ (all_4_1 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (100), (1458) imply:
% 72.50/10.58 | | | | | | | (1461) ~ (all_4_2 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | SIMP: (1461) implies:
% 72.50/10.58 | | | | | | | (1462) ~ (all_4_2 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (99), (1458) imply:
% 72.50/10.58 | | | | | | | (1463) ~ (all_4_3 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | SIMP: (1463) implies:
% 72.50/10.58 | | | | | | | (1464) ~ (all_4_3 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (98), (1458) imply:
% 72.50/10.58 | | | | | | | (1465) ~ (all_4_5 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (97), (1458) imply:
% 72.50/10.58 | | | | | | | (1466) ~ (all_4_10 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | SIMP: (1466) implies:
% 72.50/10.58 | | | | | | | (1467) ~ (all_4_10 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (96), (1458) imply:
% 72.50/10.58 | | | | | | | (1468) ~ (all_4_15 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | SIMP: (1468) implies:
% 72.50/10.58 | | | | | | | (1469) ~ (all_4_15 = e3)
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | REDUCE: (612), (1458) imply:
% 72.50/10.58 | | | | | | | (1470) op(e3, e4) = all_10_0
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | BETA: splitting (332) gives:
% 72.50/10.58 | | | | | | |
% 72.50/10.58 | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | (1471) ~ (all_10_110 = e3)
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | REDUCE: (1457), (1471) imply:
% 72.50/10.58 | | | | | | | | (1472) $false
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | CLOSE: (1472) is inconsistent.
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | Case 2:
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | (1473) ~ (all_10_111 = e4) | all_10_90 = e4
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | BETA: splitting (1473) gives:
% 72.50/10.58 | | | | | | | |
% 72.50/10.58 | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | |
% 72.50/10.58 | | | | | | | | | (1474) ~ (all_10_111 = e4)
% 72.50/10.58 | | | | | | | | |
% 72.50/10.58 | | | | | | | | | REDUCE: (411), (1474) imply:
% 72.50/10.58 | | | | | | | | | (1475) ~ (all_4_6 = e4)
% 72.50/10.58 | | | | | | | | |
% 72.50/10.58 | | | | | | | | | BETA: splitting (163) gives:
% 72.50/10.58 | | | | | | | | |
% 72.50/10.58 | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | (1476) all_6_6 = e0
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | COMBINE_EQS: (487), (1476) imply:
% 72.50/10.58 | | | | | | | | | | (1477) all_4_6 = e0
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | SIMP: (1477) implies:
% 72.50/10.58 | | | | | | | | | | (1478) all_4_6 = e0
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | COMBINE_EQS: (474), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1479) all_8_3 = e0
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | COMBINE_EQS: (411), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1480) all_10_111 = e0
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (91), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1481) ~ (all_4_1 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (76), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1482) ~ (all_4_5 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (69), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1483) ~ (all_4_7 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | SIMP: (1483) implies:
% 72.50/10.58 | | | | | | | | | | (1484) ~ (all_4_7 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (68), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1485) ~ (all_4_8 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | SIMP: (1485) implies:
% 72.50/10.58 | | | | | | | | | | (1486) ~ (all_4_8 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (67), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1487) ~ (all_4_11 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | SIMP: (1487) implies:
% 72.50/10.58 | | | | | | | | | | (1488) ~ (all_4_11 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (66), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1489) ~ (all_4_16 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | SIMP: (1489) implies:
% 72.50/10.58 | | | | | | | | | | (1490) ~ (all_4_16 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | REDUCE: (674), (1478) imply:
% 72.50/10.58 | | | | | | | | | | (1491) ~ (e1 = e0)
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 72.50/10.58 | | | | | | | | | | all_10_0, e4, e3, simplifying with (121), (1470)
% 72.50/10.58 | | | | | | | | | | gives:
% 72.50/10.58 | | | | | | | | | | (1492) all_10_0 = all_4_1
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | BETA: splitting (155) gives:
% 72.50/10.58 | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | Case 1:
% 72.50/10.58 | | | | | | | | | | |
% 72.50/10.58 | | | | | | | | | | | (1493) all_6_16 = e0
% 72.50/10.58 | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | REF_CLOSE: (503), (1486), (1493) are inconsistent by
% 72.50/10.59 | | | | | | | | | | | sub-proof #152.
% 72.50/10.59 | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | (1494) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 72.50/10.59 | | | | | | | | | | | all_6_16 = e1
% 72.50/10.59 | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | BETA: splitting (166) gives:
% 72.50/10.59 | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | (1495) all_6_2 = e0
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | COMBINE_EQS: (488), (1495) imply:
% 72.50/10.59 | | | | | | | | | | | | (1496) all_4_10 = e0
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | COMBINE_EQS: (433), (1496) imply:
% 72.50/10.59 | | | | | | | | | | | | (1497) all_8_4 = e0
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | REDUCE: (54), (1496) imply:
% 72.50/10.59 | | | | | | | | | | | | (1498) ~ (all_4_12 = e0)
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | SIMP: (1498) implies:
% 72.50/10.59 | | | | | | | | | | | | (1499) ~ (all_4_12 = e0)
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | REDUCE: (51), (1496) imply:
% 72.50/10.59 | | | | | | | | | | | | (1500) ~ (all_4_15 = e0)
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | SIMP: (1500) implies:
% 72.50/10.59 | | | | | | | | | | | | (1501) ~ (all_4_15 = e0)
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | REDUCE: (124), (1496) imply:
% 72.50/10.59 | | | | | | | | | | | | (1502) op(e4, e2) = e0
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | BETA: splitting (222) gives:
% 72.50/10.59 | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | (1503) all_8_0 = e1
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | REF_CLOSE: (579), (1459), (1503) are inconsistent by
% 72.50/10.59 | | | | | | | | | | | | | sub-proof #151.
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | (1504) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 72.50/10.59 | | | | | | | | | | | | | all_8_16 = e1
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | BETA: splitting (165) gives:
% 72.50/10.59 | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | (1505) all_6_3 = e0
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | COMBINE_EQS: (497), (1505) imply:
% 72.50/10.59 | | | | | | | | | | | | | | (1506) all_4_15 = e0
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | REDUCE: (1501), (1506) imply:
% 72.50/10.59 | | | | | | | | | | | | | | (1507) $false
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | CLOSE: (1507) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | (1508) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 72.50/10.59 | | | | | | | | | | | | | | all_6_3 = e1
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 72.50/10.59 | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | (1509) all_6_3 = e4
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1509) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | (1510) all_4_15 = e4
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | REDUCE: (568), (1510) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | (1511) $false
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | CLOSE: (1511) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | (1512) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | BETA: splitting (1512) gives:
% 72.50/10.59 | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | (1513) all_6_3 = e3
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1513) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | (1514) all_4_15 = e3
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | REDUCE: (1469), (1514) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | (1515) $false
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | CLOSE: (1515) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | (1516) all_6_3 = e2 | all_6_3 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | (1517) all_8_4 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1497), (1517) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | (1518) e1 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | REDUCE: (583), (1518) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | (1519) $false
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | CLOSE: (1519) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | (1520) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 72.50/10.59 | | | | | | | | | | | | | | | | | all_8_22 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | BETA: splitting (1520) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1521) all_8_5 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (1521) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1522) all_4_11 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | SIMP: (1522) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1523) all_4_11 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | REDUCE: (90), (1523) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1524) ~ (all_4_1 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | REDUCE: (48), (1523) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1525) ~ (all_4_13 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | REDUCE: (46), (1523) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1526) ~ (all_4_16 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | REDUCE: (594), (1523) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | (1527) op(e1, e2) = all_10_13
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | (1528) all_6_5 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1528) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | (1529) all_4_1 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | REDUCE: (1481), (1529) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | (1530) $false
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | CLOSE: (1530) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | (1531) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (1504) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1532) all_8_1 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (1532) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1533) all_4_5 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | SIMP: (1533) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1534) all_4_5 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (1534) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1535) ~ (all_4_15 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1534) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1536) ~ (e4 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1534) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1537) ~ (e3 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (1534) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | (1538) op(e1, e4) = all_10_1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1516) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1539) all_6_3 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1539) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1540) all_4_15 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (1540) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1541) all_4_15 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (1541) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1542) op(e2, e4) = all_10_5
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (1541) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1543) op(e4, e2) = all_10_73
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1541) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1544) op(e4, e1) = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1541) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | (1545) op(e1, e2) = all_10_72
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1546) all_8_2 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1546) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1547) all_4_1 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1547) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1548) all_4_1 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1549) ~ (all_4_3 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1549) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1550) ~ (all_4_3 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1551) ~ (all_4_16 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1551) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1552) ~ (all_4_16 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1553) ~ (e3 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1554) op(e2, e4) = all_10_10
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1555) op(e4, e2) = all_10_46
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1548) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | (1556) op(e3, e4) = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1557) all_8_0 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1459), (1557) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1558) e3 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1558) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1559) $false
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1559) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | (1560) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1561) all_8_1 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1532), (1561) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1562) e2 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (1562) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1563) $false
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1563) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1564) ~ (all_8_1 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1532), (1564) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | (1566) ~ (e2 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_6_15 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (1567) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_4_3 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1568) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_4_3 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (1569) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1570) ~ (all_4_2 = e0)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1569) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1571) ~ (all_4_13 = e0)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1571) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1572) ~ (all_4_13 = e0)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1464), (1569) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1573) ~ (e3 = e0)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1550), (1569) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1574) ~ (e2 = e0)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1569) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1575) op(e1, e4) = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) all_8_3 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1479), (1576) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) e2 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1577) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) $false
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1578) is inconsistent.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) ~ (all_8_3 = e2)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1580) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_8_7 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (557), (1581) are inconsistent by sub-proof
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | #197.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) all_8_13 = e2 | all_8_21 = e2
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_8_6 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (1570), (1583) are inconsistent by
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #251.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1584) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_8_7 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (1484), (1585) are inconsistent by
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1560) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_8_2 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (581), (1546), (1587) are inconsistent by
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) all_8_6 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1589) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_4_2 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1590) implies:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_4_2 = e1
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1591) imply:
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) ~ (all_4_7 = e1)
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1592) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) ~ (all_4_7 = e1)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) ~ (all_4_17 = e1)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) op(e1, e4) = all_10_19
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) op(e1, e2) = all_10_18
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) op(e4, e1) = all_10_48
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) op(e2, e1) = all_10_49
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1591) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) op(e2, e4) = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1586) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_8_8 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1499), (1600) are inconsistent by
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_8_11 = e0 | all_8_18 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_6_8 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1602) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_4_16 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1490), (1603) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) $false
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1604) is inconsistent.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1605) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_6_8 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1606) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_4_16 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (1607) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) op(e4, e1) = all_10_15
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_8_11 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1609) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_4_17 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1610) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_4_17 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1611) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) ~ (all_4_18 = e0)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1612) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) ~ (all_4_18 = e0)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1611) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) op(e2, e1) = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_6_18 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1613), (1615) are inconsistent by
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_6_18 = e0)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_8_6 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1589), (1618) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) e3 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1619) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) $false
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1620) is inconsistent.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_8_7 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (556), (1622) are inconsistent by sub-proof
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1623) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_8_8 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1624) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_4_12 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1625) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_4_12 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1626) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_10_112 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1626) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) ~ (all_4_13 = e3)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1628) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) ~ (all_4_13 = e3)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_6_17 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (1572), (1630) are inconsistent by
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_6_17 = e0)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1582) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_8_13 = e2
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (1633) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_4_8 = e2
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1634) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) ~ (all_4_13 = e2)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1634) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) ~ (all_4_18 = e2)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1636) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) ~ (all_4_18 = e2)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1634) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) op(e2, e1) = all_10_29
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (1634) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) op(e1, e2) = all_10_60
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_6_11 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (1484), (1640) are inconsistent by
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1641) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_6_11 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (1642) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_4_7 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1643) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_4_7 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (1644) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) op(e4, e2) = all_10_20
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (1644) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) op(e3, e4) = all_10_57
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (1644) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) op(e2, e4) = all_10_58
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1632) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_6_17 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1648) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_4_13 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1649) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (all_4_18 = e4)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1650) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) ~ (all_4_18 = e4)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (1649) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) op(e4, e2) = all_10_32
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (1649) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) op(e2, e4) = all_10_68
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (1649) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) op(e1, e4) = all_10_69
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1649) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) op(e1, e2) = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1617) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_6_18 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1656) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_4_18 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1651), (1657) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) $false
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1658) is inconsistent.
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_6_18 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1660) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_4_18 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1661) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_10_113 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1661) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_10_88 = e3
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e1, simplifying with (1545), (1596)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_10_18 = all_10_72
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e1, simplifying with (1596), (1655)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_10_18 = e4
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_18,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (1527), (1596)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_10_13 = all_10_18
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_60,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (1527), (1639)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_10_13 = all_10_60
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e4, e1, simplifying with (1575), (1595)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_10_19 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_19,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e1, simplifying with (1538), (1595)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_10_1 = all_10_19
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_69,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e1, simplifying with (1538), (1654)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_10_1 = all_10_69
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e2, simplifying with (1598), (1638)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_10_29 = all_10_49
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e2, simplifying with (1614), (1638)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_10_29 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_68,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_58, e4, e2, simplifying with (1647), (1653)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_10_58 = all_10_68
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_10,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (1542), (1554)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_10_5 = all_10_10
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_58,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (1542), (1647)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_10_5 = all_10_58
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_5,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (1542), (1599) gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_10_5 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_57, e4, e3, simplifying with (1556), (1646)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_10_57 = e2
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (1597), (1608)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_10_15 = all_10_48
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (1544), (1608)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_10_15 = e2
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_46, e2, e4, simplifying with (1502), (1555)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_10_46 = e0
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e4, simplifying with (1555), (1652)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_10_32 = all_10_46
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e4, simplifying with (1645), (1652)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_10_20 = all_10_32
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_73,
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e4, simplifying with (1543), (1645)
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_10_20 = all_10_73
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1669), (1670) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_10_19 = all_10_69
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1684) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_10_19 = all_10_69
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1674), (1676) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_10_10 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1674), (1675) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_10_10 = all_10_58
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1686), (1687) imply:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_10_58 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies:
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_10_58 = e1
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1666), (1667) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) all_10_18 = all_10_60
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_10_18 = all_10_60
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1679) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_10_48 = e2
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1692) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_10_48 = e2
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1665), (1691) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_10_60 = e4
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1691) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_10_60 = all_10_72
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1668), (1685) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_10_69 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1696) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_10_69 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1682), (1683) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_10_32 = all_10_73
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_10_32 = all_10_73
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1671), (1672) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_10_49 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1681), (1699) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_10_46 = all_10_73
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1701) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_10_46 = all_10_73
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1680), (1702) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_10_73 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1673), (1689) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_10_68 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1704) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_10_68 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1694), (1695) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_10_72 = e4
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1707) gives:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1708) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) ~ (all_10_48 = e2) | all_10_49 = e4
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (1693), (1700), (1709) are inconsistent by
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1710) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_10_57 = e2) | all_10_58 = e3
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1711) gives:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_10_57 = e2)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1677), (1712) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) $false
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1713) is inconsistent.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_10_58 = e3
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1689), (1714) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) e3 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (1715) imply:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) $false
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1716) is inconsistent.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1717) gives:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) ~ (all_10_68 = e1) | all_10_69 = e2
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (1697), (1705), (1719) are inconsistent by
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #225.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1720) gives:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1721) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) ~ (all_10_72 = e4) | all_10_73 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1703), (1706), (1722) are inconsistent by
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #146.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) ~ (all_10_87 = e1) | all_10_88 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (318), (350), (370), (402), (418), (545), (577),
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580), (582), (583), (670), (1457), (1480),
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627), (1662), (1663), (1724) are inconsistent by
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_6_18 = e2 | all_6_18 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (1637), (1725) are inconsistent by
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (1629), (1726) are
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (1593), (1727) are
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_8_21 = e2
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (1728) are inconsistent by sub-proof
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_8_11 = e3 | all_8_18 = e3
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (578), (580), (1609), (1729) are
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_8_18 = e0
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (582), (1730) are inconsistent by sub-proof
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (1552), (1731) are
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_8_12 = e1 | all_8_20 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (464), (552), (576), (1732) are
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #260.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (552), (1464), (1550), (1733) are
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #213.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1734) ~ (all_8_2 = e2)
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (1734) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1735) ~ (all_4_1 = e2)
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (548), (1524), (1531), (1735) are
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | (1736) all_6_3 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (1736) are inconsistent by sub-proof
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | #222.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | (1737) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | (1738) all_8_4 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1497), (1738) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | (1739) e1 = e0
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (1739) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | (1740) $false
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1740) is inconsistent.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | (1741) all_8_9 = e1 | all_8_16 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1741) gives:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1742) all_8_9 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (1742) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1743) all_4_15 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1743) implies:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1744) all_4_15 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (1744) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1745) $false
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1745) is inconsistent.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1746) all_8_16 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (1746) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1747) e4 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1747) implies:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1748) e4 = e1
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1748) imply:
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | (1749) $false
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1749) is inconsistent.
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | | |
% 72.50/10.62 | | | | | | | | | | | | | | | | | | End of split
% 72.50/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | (1750) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (477), (542), (566), (581), (672), (1750)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #252.
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | End of split
% 72.81/10.62 | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | (1751) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 72.81/10.62 | | | | | | | | | | | | all_6_2 = e1
% 72.81/10.62 | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | BETA: splitting (1751) gives:
% 72.81/10.62 | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | (1752) all_6_2 = e4
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | COMBINE_EQS: (488), (1752) imply:
% 72.81/10.62 | | | | | | | | | | | | | (1753) all_4_10 = e4
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | REDUCE: (561), (1753) imply:
% 72.81/10.62 | | | | | | | | | | | | | (1754) $false
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | CLOSE: (1754) is inconsistent.
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | (1755) ~ (all_6_2 = e4)
% 72.81/10.62 | | | | | | | | | | | | | (1756) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | BETA: splitting (1756) gives:
% 72.81/10.62 | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | (1757) all_6_2 = e3
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | COMBINE_EQS: (488), (1757) imply:
% 72.81/10.62 | | | | | | | | | | | | | | (1758) all_4_10 = e3
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | REDUCE: (1467), (1758) imply:
% 72.81/10.62 | | | | | | | | | | | | | | (1759) $false
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | CLOSE: (1759) is inconsistent.
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | (1760) ~ (all_6_2 = e3)
% 72.81/10.62 | | | | | | | | | | | | | | (1761) all_6_2 = e2 | all_6_2 = e1
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | BETA: splitting (1761) gives:
% 72.81/10.62 | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | (1762) all_6_2 = e2
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1762) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1763) all_4_10 = e2
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (560), (1763) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1764) $false
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | CLOSE: (1764) is inconsistent.
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | (1765) all_6_2 = e1
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | COMBINE_EQS: (488), (1765) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1766) all_4_10 = e1
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | COMBINE_EQS: (433), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1767) all_8_4 = e1
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (72), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1768) ~ (all_4_5 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (54), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1769) ~ (all_4_12 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (53), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1770) ~ (all_4_13 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (51), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1771) ~ (all_4_15 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (561), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1772) ~ (e4 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (1467), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1773) ~ (e3 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (586), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1774) op(e1, e4) = all_10_3
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (587), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1775) op(e1, e2) = all_10_4
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (616), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1776) op(e4, e1) = all_10_64
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (124), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1777) op(e4, e2) = e1
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | REDUCE: (629), (1766) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | (1778) op(e2, e1) = all_10_63
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 72.81/10.62 | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | (1779) all_6_1 = e0
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | REF_CLOSE: (485), (1482), (1779) are inconsistent by
% 72.81/10.62 | | | | | | | | | | | | | | | | sub-proof #242.
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | (1780) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 72.81/10.62 | | | | | | | | | | | | | | | | all_6_1 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 72.81/10.62 | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | (1781) all_6_7 = e0
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1781) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | (1782) all_4_11 = e0
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | REDUCE: (1488), (1782) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | (1783) $false
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | CLOSE: (1783) is inconsistent.
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | (1784) ~ (all_6_7 = e0)
% 72.81/10.62 | | | | | | | | | | | | | | | | | (1785) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 72.81/10.62 | | | | | | | | | | | | | | | | | all_6_7 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | BETA: splitting (1780) gives:
% 72.81/10.62 | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | (1786) all_6_1 = e4
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (554), (1786) are inconsistent by sub-proof
% 72.81/10.62 | | | | | | | | | | | | | | | | | | #164.
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | (1787) ~ (all_6_1 = e4)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | (1788) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 72.81/10.62 | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1789) all_8_2 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1789) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1790) all_4_1 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | SIMP: (1790) implies:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1791) all_4_1 = e1
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1792) ~ (all_4_2 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | SIMP: (1792) implies:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1793) ~ (all_4_2 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1794) ~ (all_4_11 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | SIMP: (1794) implies:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1795) ~ (all_4_11 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1796) ~ (all_4_16 = e1)
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (591), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1797) op(e1, e4) = all_10_10
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (619), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1798) op(e4, e1) = all_10_46
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | REDUCE: (624), (1791) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | (1799) op(e3, e1) = all_10_47
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (1785) gives:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | (1800) all_6_7 = e4
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (1800) imply:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | (1801) all_4_11 = e4
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | SIMP: (1801) implies:
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | (1802) all_4_11 = e4
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.62 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (1802) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1803) all_8_5 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (1802) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_4_12 = e4)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | SIMP: (1804) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1805) ~ (all_4_12 = e4)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1802) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1806) ~ (all_4_16 = e4)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | SIMP: (1806) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_4_16 = e4)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (1802) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1808) op(e4, e2) = all_10_13
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (1802) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | (1809) op(e2, e4) = all_10_65
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | (1810) all_6_8 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (1490), (1810) are inconsistent by
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | sub-proof #210.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_6_8 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | (1812) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | (1813) all_6_8 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (1807), (1813) are inconsistent by
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | sub-proof #208.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | (1814) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1815) all_6_10 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1815) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1816) all_4_2 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (1816) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1817) all_8_6 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (1816) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_4_12 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1818) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_4_12 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (1816) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (e4 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1816) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | (1821) op(e2, e4) = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | (1822) all_8_4 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (1767), (1822) are inconsistent by
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | (1823) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1823) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_8_5 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1803), (1824) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1825) e4 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1825) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1826) e4 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1826) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1827) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1827) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1828) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_8_8 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (1819), (1829) are inconsistent by
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_8_8 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) all_8_14 = e0 | all_8_22 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) all_6_8 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1832) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) all_4_16 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (1833) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1834) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) all_6_8 = e2 | all_6_8 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1835) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_6_8 = e2
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1836) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_4_16 = e2
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1837) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) ~ (all_4_15 = e2)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (1837) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) op(e2, e1) = all_10_15
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1837) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) op(e3, e1) = e2
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (1837) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) op(e1, e2) = all_10_74
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) all_6_12 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1842) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_4_12 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1819), (1843) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1844) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (all_6_12 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1846) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_6_12 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1847) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_4_12 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1805), (1848) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1849) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) ~ (all_6_12 = e4)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1851) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_6_12 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (1852) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_4_12 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1853) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_8_8 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (1853) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) all_10_112 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1805), (1853) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) ~ (e4 = e3)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) all_6_17 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (1857) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) all_4_13 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1858) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_4_13 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1859) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) ~ (all_4_3 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1859) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) op(e1, e2) = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) all_6_3 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (1862) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) all_4_15 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1863) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_4_15 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1864) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) ~ (all_4_18 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1865) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_4_18 = e0)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1864) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) op(e4, e1) = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_8_6 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1817), (1868) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) e1 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (1869) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1870) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1871) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) all_8_7 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1872) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_4_7 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1873) implies:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_4_7 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1874) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_4_8 = e1)
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (600), (1874) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) op(e1, e2) = all_10_20
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (1874) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) op(e3, e1) = all_10_57
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (632), (1874) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) op(e2, e1) = all_10_58
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_8_6 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1817), (1879) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) e4 = e0
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (1880) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1881) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1882) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_8_7 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1872), (1883) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) e4 = e1
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (1884) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1885) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_8_8 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1854), (1887) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) e4 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1888) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1889) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_8_11 = e4 | all_8_18 = e4
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1788) gives:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_6_1 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1891) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_4_5 = e3
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1892) imply:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) $false
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1893) is inconsistent.
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_6_1 = e3)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_6_1 = e2 | all_6_1 = e1
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1895) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_6_1 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1896) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_4_5 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1897) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) ~ (all_4_8 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1898) implies:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) ~ (all_4_8 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1897) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) ~ (e4 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (1897) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (e3 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (1897) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) op(e2, e4) = all_10_1
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (1897) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) op(e4, e2) = all_10_55
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1890) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_8_11 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1904) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_4_17 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1905) implies:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_4_17 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1906) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) op(e4, e2) = all_10_23
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (1906) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) op(e4, e1) = all_10_24
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (1906) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) op(e2, e4) = all_10_77
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1906) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) op(e2, e1) = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (1906) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) op(e1, e4) = all_10_76
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_6_18 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1912) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_4_18 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1866), (1913) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) $false
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1914) is inconsistent.
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) ~ (all_6_18 = e0)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1494) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_6_16 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1917) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_4_8 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1918) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) ~ (all_4_18 = e4)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1919) implies:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) ~ (all_4_18 = e4)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1918) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) op(e4, e1) = all_10_29
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (639), (1918) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) op(e1, e4) = all_10_60
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_8_0 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1459), (1923) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) e3 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1924) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) $false
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1925) is inconsistent.
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1926) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_8_2 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (581), (1789), (1927) are inconsistent by
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150.
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_8_6 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1817), (1929) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) e2 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1930) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) $false
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1931) is inconsistent.
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_8_12 = e2 | all_8_20 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_8_12 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1933) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_4_3 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1934) implies:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_4_3 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) ~ (all_4_18 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1936) implies:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) ~ (all_4_18 = e2)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) op(e2, e4) = all_10_28
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) op(e2, e1) = all_10_27
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) op(e4, e2) = all_10_50
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) op(e1, e2) = all_10_51
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1935) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) op(e1, e4) = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_6_18 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1943) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_4_18 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1920), (1944) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) $false
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1945) is inconsistent.
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) ~ (all_6_18 = e4)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1947) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_6_18 = e3
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1948) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_4_18 = e3
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1949) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_10_113 = e3
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1949) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_10_88 = e3
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (1949) imply:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) op(e3, e1) = all_10_33
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_74,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e1, simplifying with (1841), (1876)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_10_20 = all_10_74
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e1, simplifying with (1861), (1876)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_10_20 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_20,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e1, simplifying with (1775), (1876)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_10_4 = all_10_20
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_51,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e1, simplifying with (1775), (1941)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_10_4 = all_10_51
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (1797), (1942)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_10_10 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_10,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e1, simplifying with (1774), (1797)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_10_3 = all_10_10
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_60,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e1, simplifying with (1774), (1922)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_10_3 = all_10_60
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_76,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e1, simplifying with (1774), (1911)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_10_3 = all_10_76
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_63,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e2, simplifying with (1778), (1939)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_10_27 = all_10_63
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e2, simplifying with (1910), (1939)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_10_27 = e4
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_27,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e2, simplifying with (1839), (1939)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_10_15 = all_10_27
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_58,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e2, simplifying with (1839), (1878)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_10_15 = all_10_58
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e2, simplifying with (1902), (1938)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_10_1 = all_10_28
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_65,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e2, simplifying with (1809), (1902)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_10_1 = all_10_65
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_77,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e2, simplifying with (1902), (1909)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_10_1 = all_10_77
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_1,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (1821), (1902) gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_10_1 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_57,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_47, e1, e3, simplifying with (1799), (1877)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_10_47 = all_10_57
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e1, e3, simplifying with (1799), (1952)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_10_33 = all_10_47
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_33, e1, e3, simplifying with (1840), (1952)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_10_33 = e2
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (1798), (1921)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_10_29 = all_10_46
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_64,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_29, e1, e4, simplifying with (1776), (1921)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_10_29 = all_10_64
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (1798), (1908)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_10_24 = all_10_46
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (1867), (1908)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_10_24 = e0
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_50, e2, e4, simplifying with (1777), (1940)
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_10_50 = e1
% 72.81/10.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_50,
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e4, simplifying with (1907), (1940)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_10_23 = all_10_50
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_23,
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (1808), (1907)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_10_13 = all_10_23
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_55,
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (1808), (1903)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_10_13 = all_10_55
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1965), (1968) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_10_28 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1965), (1967) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_10_28 = all_10_77
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1965), (1966) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_10_28 = all_10_65
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1958), (1959) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_10_10 = all_10_60
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1983) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_10_10 = all_10_60
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1959), (1960) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_10_60 = all_10_76
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1955), (1956) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_10_20 = all_10_51
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1986) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_10_20 = all_10_51
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1957), (1984) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_10_60 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1988) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_10_60 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1978), (1979) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_10_23 = all_10_55
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1990) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_10_23 = all_10_55
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1963), (1964) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_10_27 = all_10_58
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_10_27 = all_10_58
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1954), (1987) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_10_51 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1953), (1987) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_10_51 = all_10_74
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1977), (1991) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_10_50 = all_10_55
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1996) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_10_50 = all_10_55
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1974), (1975) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) all_10_46 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1998) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_10_46 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1961), (1993) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_10_58 = all_10_63
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1962), (1993) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_10_58 = e4
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1980), (1982) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_10_65 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1981), (1982) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_10_65 = all_10_77
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1972), (1973) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_10_46 = all_10_64
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2004) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_10_46 = all_10_64
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1970), (1971) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_10_47 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2006) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_10_47 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1999), (2005) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_10_64 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2008) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_10_64 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1969), (2007) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_10_57 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2010) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_10_57 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1976), (1997) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) all_10_55 = e1
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1994), (1995) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_10_74 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2000), (2001) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_10_63 = e4
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1985), (1989) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_10_76 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2015) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_10_76 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2002), (2003) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_10_77 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2018) gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2019) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) ~ (all_10_50 = e1) | all_10_51 = e4
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (1976), (1994), (2020) are inconsistent by
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2021) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) ~ (all_10_57 = e2) | all_10_58 = e3
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2022) gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) ~ (all_10_57 = e2)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2011), (2023) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) $false
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2024) is inconsistent.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_10_58 = e3
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2001), (2025) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) e4 = e3
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2026) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) e4 = e3
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2027) imply:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) $false
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2028) is inconsistent.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2029) gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2030) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) ~ (all_10_63 = e4) | all_10_64 = e2
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (2009), (2014), (2031) are inconsistent by
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2032) gives:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2033) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) ~ (all_10_76 = e2) | all_10_77 = e1
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (2016), (2017), (2034) are inconsistent by
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2035) implies:
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) ~ (all_10_87 = e1) | all_10_88 = e0
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (318), (350), (370), (402), (418), (545), (577),
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580), (582), (583), (670), (1457), (1480),
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855), (1950), (1951), (2036) are inconsistent by
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145.
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_6_18 = e2 | all_6_18 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (1937), (2037) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_8_20 = e2
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (464), (575), (2038) are inconsistent by sub-proof
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #137.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (1899), (2039) are
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_8_18 = e4
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (2040) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) e4 = e2
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2041) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) $false
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2042) is inconsistent.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) all_6_1 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2043) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_4_5 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1768), (2044) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) $false
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2045) is inconsistent.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) ~ (all_8_7 = e1)
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (2046) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) ~ (all_4_7 = e1)
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (216), (432), (449), (458), (467), (474), (559),
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (579), (674), (1768), (2047) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #261.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (1469), (1838), (2048) are
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (162), (374), (490), (505), (542), (562),
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (565), (566), (580), (582), (1488), (1795),
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831), (2049) are inconsistent by sub-proof #134.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_6_12 = e2 | all_6_12 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (2050) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #272.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_6_8 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2051) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_4_16 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (2052) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) $false
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2053) is inconsistent.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | (2054) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2054) gives:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2055) all_6_10 = e4
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2055) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2056) all_4_2 = e4
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (549), (2056) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2057) $false
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2057) is inconsistent.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2058) gives:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2059) all_6_10 = e3
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (1462), (2059) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #133.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_6_10 = e2 | all_6_10 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (550), (1793), (2060) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #268.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | (2061) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (1795), (2061) are
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | (2062) ~ (all_8_2 = e1)
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | REDUCE: (439), (2062) imply:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | (2063) ~ (all_4_1 = e1)
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | (2064) all_8_0 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (579), (1459), (2064) are inconsistent by
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | sub-proof #151.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | (2065) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | all_8_20 = e1
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (216), (432), (439), (447), (449), (456),
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | (458), (464), (467), (474), (552), (559), (576),
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | (579), (674), (1768), (2063), (2065) are
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #259.
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | | End of split
% 72.81/10.66 | | | | | | | | | |
% 72.81/10.66 | | | | | | | | | Case 2:
% 72.81/10.66 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | (2066) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 72.81/10.67 | | | | | | | | | | all_6_6 = e1
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | BETA: splitting (2066) gives:
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | (2067) all_6_6 = e4
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | REF_CLOSE: (487), (1475), (2067) are inconsistent by
% 72.81/10.67 | | | | | | | | | | | sub-proof #132.
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | (2068) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | REF_CLOSE: (487), (555), (674), (676), (2068) are
% 72.81/10.67 | | | | | | | | | | | inconsistent by sub-proof #157.
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | End of split
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | End of split
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | (2069) all_10_90 = e4
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | COMBINE_EQS: (427), (2069) imply:
% 72.81/10.67 | | | | | | | | | (2070) all_4_5 = e4
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | REDUCE: (554), (2070) imply:
% 72.81/10.67 | | | | | | | | | (2071) $false
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | CLOSE: (2071) is inconsistent.
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | End of split
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | End of split
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | End of split
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | Case 2:
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | (2072) all_10_110 = e2
% 72.81/10.67 | | | | | | (2073) ~ (all_10_112 = e4) | all_10_98 = e2
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | COMBINE_EQS: (430), (2072) imply:
% 72.81/10.67 | | | | | | (2074) all_4_0 = e2
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | COMBINE_EQS: (473), (2074) imply:
% 72.81/10.67 | | | | | | (2075) all_8_0 = e2
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | REDUCE: (101), (2074) imply:
% 72.81/10.67 | | | | | | (2076) ~ (all_4_1 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | SIMP: (2076) implies:
% 72.81/10.67 | | | | | | (2077) ~ (all_4_1 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | REDUCE: (100), (2074) imply:
% 72.81/10.67 | | | | | | (2078) ~ (all_4_2 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | REDUCE: (98), (2074) imply:
% 72.81/10.67 | | | | | | (2079) ~ (all_4_5 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | SIMP: (2079) implies:
% 72.81/10.67 | | | | | | (2080) ~ (all_4_5 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | REDUCE: (97), (2074) imply:
% 72.81/10.67 | | | | | | (2081) ~ (all_4_10 = e2)
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | BETA: splitting (213) gives:
% 72.81/10.67 | | | | | |
% 72.81/10.67 | | | | | | Case 1:
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | | (2082) all_8_2 = e2
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | | REF_CLOSE: (439), (2077), (2082) are inconsistent by sub-proof
% 72.81/10.67 | | | | | | | #131.
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | Case 2:
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | | (2083) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 72.81/10.67 | | | | | | | e2
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | | BETA: splitting (217) gives:
% 72.81/10.67 | | | | | | |
% 72.81/10.67 | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | | (2084) all_8_1 = e2
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | | REF_CLOSE: (432), (2080), (2084) are inconsistent by sub-proof
% 72.81/10.67 | | | | | | | | #130.
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | | (2085) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 | all_8_21
% 72.81/10.67 | | | | | | | | = e2
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | | BETA: splitting (2073) gives:
% 72.81/10.67 | | | | | | | |
% 72.81/10.67 | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | (2086) ~ (all_10_112 = e4)
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | REDUCE: (392), (2086) imply:
% 72.81/10.67 | | | | | | | | | (2087) ~ (all_4_12 = e4)
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | BETA: splitting (2085) gives:
% 72.81/10.67 | | | | | | | | |
% 72.81/10.67 | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | (2088) all_8_3 = e2
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | REF_CLOSE: (474), (676), (2088) are inconsistent by sub-proof
% 72.81/10.67 | | | | | | | | | | #129.
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | (2089) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | BETA: splitting (2089) gives:
% 72.81/10.67 | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | (2090) all_8_7 = e2
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | REF_CLOSE: (449), (557), (2090) are inconsistent by sub-proof
% 72.81/10.67 | | | | | | | | | | | #197.
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | (2091) all_8_13 = e2 | all_8_21 = e2
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | BETA: splitting (2091) gives:
% 72.81/10.67 | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | (2092) all_8_13 = e2
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | COMBINE_EQS: (458), (2092) imply:
% 72.81/10.67 | | | | | | | | | | | | (2093) all_4_8 = e2
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | SIMP: (2093) implies:
% 72.81/10.67 | | | | | | | | | | | | (2094) all_4_8 = e2
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | COMBINE_EQS: (379), (2094) imply:
% 72.81/10.67 | | | | | | | | | | | | (2095) all_10_103 = e2
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | REDUCE: (80), (2094) imply:
% 72.81/10.67 | | | | | | | | | | | | (2096) ~ (all_4_3 = e2)
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | REDUCE: (58), (2094) imply:
% 72.81/10.67 | | | | | | | | | | | | (2097) ~ (all_4_13 = e2)
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | REDUCE: (558), (2094) imply:
% 72.81/10.67 | | | | | | | | | | | | (2098) ~ (e3 = e2)
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | REDUCE: (110), (2094) imply:
% 72.81/10.67 | | | | | | | | | | | | (2099) op(e1, e3) = e2
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | BETA: splitting (2083) gives:
% 72.81/10.67 | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | (2100) all_8_3 = e2
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | REF_CLOSE: (474), (676), (2100) are inconsistent by sub-proof
% 72.81/10.67 | | | | | | | | | | | | | #129.
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | (2101) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | BETA: splitting (2101) gives:
% 72.81/10.67 | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | (2102) all_8_5 = e2
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | COMBINE_EQS: (442), (2102) imply:
% 72.81/10.67 | | | | | | | | | | | | | | (2103) all_4_11 = e2
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | SIMP: (2103) implies:
% 72.81/10.67 | | | | | | | | | | | | | | (2104) all_4_11 = e2
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | REDUCE: (562), (2104) imply:
% 72.81/10.67 | | | | | | | | | | | | | | (2105) $false
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | CLOSE: (2105) is inconsistent.
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | Case 2:
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | (2106) all_8_10 = e2 | all_8_17 = e2
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | BETA: splitting (2106) gives:
% 72.81/10.67 | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | (2107) all_8_10 = e2
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2107) imply:
% 72.81/10.67 | | | | | | | | | | | | | | | (2108) all_4_16 = e2
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | SIMP: (2108) implies:
% 72.81/10.67 | | | | | | | | | | | | | | | (2109) all_4_16 = e2
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | COMBINE_EQS: (405), (2109) imply:
% 72.81/10.67 | | | | | | | | | | | | | | | (2110) all_10_96 = e2
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | REDUCE: (38), (2109) imply:
% 72.81/10.67 | | | | | | | | | | | | | | | (2111) ~ (all_4_15 = e2)
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | REDUCE: (33), (2109) imply:
% 72.81/10.67 | | | | | | | | | | | | | | | (2112) ~ (all_4_17 = e2)
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | REDUCE: (32), (2109) imply:
% 72.81/10.67 | | | | | | | | | | | | | | | (2113) ~ (all_4_18 = e2)
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | SIMP: (2113) implies:
% 72.81/10.67 | | | | | | | | | | | | | | | (2114) ~ (all_4_18 = e2)
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 72.81/10.67 | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | Case 1:
% 72.81/10.67 | | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | | (2115) all_6_6 = e0
% 72.81/10.67 | | | | | | | | | | | | | | | |
% 72.81/10.67 | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2115) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | (2116) all_4_6 = e0
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | SIMP: (2116) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | (2117) all_4_6 = e0
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | REDUCE: (91), (2117) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | (2118) ~ (all_4_1 = e0)
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | REDUCE: (76), (2117) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | (2119) ~ (all_4_5 = e0)
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | REF_CLOSE: (72), (90), (164), (167), (208), (374), (433),
% 73.07/10.67 | | | | | | | | | | | | | | | | (442), (477), (485), (486), (542), (547), (548),
% 73.07/10.67 | | | | | | | | | | | | | | | | (553), (554), (566), (672), (2077), (2080),
% 73.07/10.67 | | | | | | | | | | | | | | | | (2118), (2119) are inconsistent by sub-proof #128.
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | (2120) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 73.07/10.67 | | | | | | | | | | | | | | | | all_6_6 = e1
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | BETA: splitting (2120) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2121) all_6_6 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2121) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2122) all_4_6 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | SIMP: (2122) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2123) all_4_6 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (2123) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2124) all_8_3 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2123) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2125) all_10_111 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | REDUCE: (69), (2123) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2126) ~ (all_4_7 = e4)
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | SIMP: (2126) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | | (2127) ~ (all_4_7 = e4)
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | (2128) all_8_6 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (549), (2128) are inconsistent by sub-proof
% 73.07/10.67 | | | | | | | | | | | | | | | | | | #127.
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | (2129) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | (2130) all_8_7 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2130) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | (2131) all_4_7 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | SIMP: (2131) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | (2132) all_4_7 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | REDUCE: (2127), (2132) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | (2133) $false
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | CLOSE: (2133) is inconsistent.
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | (2134) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | (2135) all_8_8 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2087), (2135) are inconsistent by
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | sub-proof #126.
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | (2136) all_8_11 = e4 | all_8_18 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2136) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2137) all_8_11 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2137) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2138) all_4_17 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | SIMP: (2138) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2139) all_4_17 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2139) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2140) all_10_100 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (2139) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2141) ~ (all_4_18 = e4)
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | SIMP: (2141) implies:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2142) ~ (all_4_18 = e4)
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (2139) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | (2143) op(e1, e4) = all_10_76
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | (2144) all_8_12 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (551), (2144) are inconsistent by sub-proof
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | #125.
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | (2145) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2145) gives:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | (2146) all_8_13 = e4
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2146) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | (2147) e4 = e2
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2147) imply:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | (2148) $false
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2148) is inconsistent.
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.67 | | | | | | | | | | | | | | | | | | | | | | | (2149) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2149) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_8_14 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2150) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2151) all_4_13 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2151) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_4_13 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2152) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_10_104 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (2152) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_4_11 = e4)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (2152) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2155) op(e1, e4) = all_10_69
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3,
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e4, e1, simplifying with (111), (2155)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2156) all_10_69 = all_4_3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_76,
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e4, e1, simplifying with (2143), (2155)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_10_69 = all_10_76
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2156), (2157) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_10_76 = all_4_3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2158) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | (2159) all_10_76 = all_4_3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_6_18 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2160) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_4_18 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2161) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_8_15 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2161) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_10_113 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2161) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2164) ~ (all_4_15 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2114), (2161) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | (2165) ~ (e2 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_6_3 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (2164), (2166) are inconsistent by
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) ~ (all_6_3 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_6_3 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (568), (2169) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) ~ (all_6_3 = e4)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_8_9 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2172) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_4_15 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2173) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_4_15 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2174) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_10_92 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2174) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) ~ (all_4_10 = e3)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2174) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) ~ (e4 = e3)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (2174) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) op(e1, e3) = all_10_72
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_8_12 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2179) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_4_3 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2180) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_4_3 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (2181) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_10_102 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (2181) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) ~ (all_4_2 = e3)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (2181) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) op(e1, e3) = all_10_51
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2181) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) op(e1, e4) = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_8_6 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (2186) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_4_2 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2187) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_4_2 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2183), (2188) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) $false
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2189) is inconsistent.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2190) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) all_8_7 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (556), (2191) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2192) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) all_8_8 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2193) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_4_12 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2194) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_4_12 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2195) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_10_112 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (2099), (2184)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_10_51 = e2
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (2178), (2184)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_10_51 = all_10_72
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2197), (2198) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_10_72 = e2
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2199) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_10_72 = e2
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_6_10 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2201) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_4_2 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2202) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_4_2 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (2203) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) ~ (all_4_1 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2203) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) ~ (all_4_7 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2205) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) ~ (all_4_7 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_6_5 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2204), (2207) are inconsistent by
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) ~ (all_6_5 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_6_11 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2210) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_4_7 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2206), (2211) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) $false
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2212) is inconsistent.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2213) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_6_11 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2214) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_4_7 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2127), (2215) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) $false
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2216) is inconsistent.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_8_1 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2218) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_4_5 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2219) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_4_5 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (2220) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_10_90 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2220) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) ~ (all_4_10 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2222) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) ~ (all_4_10 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_6_2 = e0
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (2223), (2224) are inconsistent by
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #123.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) ~ (all_6_2 = e0)
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2209) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_6_5 = e4
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (2227) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_6_5 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (2229) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_6_5 = e2 | all_6_5 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2217) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_6_11 = e3
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (2231) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_6_11 = e2 | all_6_11 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2232) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) all_6_11 = e2
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (557), (2233) are inconsistent by sub-proof
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #255.
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) all_6_11 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2234) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_4_7 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2235) implies:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) all_4_7 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (2236) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) op(e1, e3) = all_10_21
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_8_2 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2238) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_4_1 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (2239) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_10_94 = e1
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (2239) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) op(e1, e4) = all_10_10
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (2239) imply:
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) op(e1, e3) = all_10_9
% 73.07/10.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_6_2 = e4
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2243) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_4_10 = e4
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2244) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2246) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_6_2 = e3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2247) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_4_10 = e3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2176), (2248) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2249) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) all_6_2 = e2 | all_6_2 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) all_6_2 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2251) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_4_10 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2252) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2253) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_6_2 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2254) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_4_10 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (2255) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) op(e1, e4) = all_10_3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_9,
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (2099), (2242) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_10_9 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_21,
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e1, simplifying with (2237), (2242)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_10_9 = all_10_21
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_3,
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (2185), (2256) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_10_3 = e3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_10,
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e1, simplifying with (2241), (2256)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_10_3 = all_10_10
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2259), (2260) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_10_10 = e3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2261) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_10_10 = e3
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2257), (2258) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_10_21 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_10_10 = e3)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2262), (2264) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2265) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_10_9 = e4 | all_10_90 = all_10_94
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2266) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_10_9 = e4
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2257), (2267) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) e4 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2268) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) e4 = e2
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2269) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_10_90 = all_10_94
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2221), (2271) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_10_94 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2240), (2272) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) e1 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2273) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2274) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_8_2 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (486), (2077), (2230), (2275) are
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) ~ (all_8_1 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (2276) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_4_5 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (90), (164), (167), (208), (374), (433),
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (477), (485), (486), (542), (547), (548),
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553), (554), (566), (672), (2077), (2080),
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204), (2277) are inconsistent by sub-proof #128.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (all_6_10 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (2278) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) ~ (all_4_2 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_8_0 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2075), (2280) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) e2 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2092), (2281) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_8_13 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (2091), (2282) are
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_8_2 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2284) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_4_1 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2285) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) all_4_1 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (2286) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_10_94 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (2286) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) ~ (all_4_11 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2288) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) ~ (all_4_11 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_8_4 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (2290) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) all_4_10 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2291) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_4_10 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2292) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_10_91 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2292) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) ~ (all_4_5 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_6_1 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (2294), (2295) are inconsistent by
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #242.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_8_0 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2075), (2297) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) e2 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2298) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) $false
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2299) is inconsistent.
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_8_1 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2301) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_4_5 = e1
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2302) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) ~ (all_4_7 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2303) implies:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) ~ (all_4_7 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2302) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) ~ (e4 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (2302) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) ~ (e3 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2080), (2302) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) ~ (e2 = e1)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_6_11 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (2308) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_4_7 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (2309) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_10_99 = e0
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2127), (2309) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) ~ (e4 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2304), (2309) imply:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) ~ (e1 = e0)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1) |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1)) | (all_10_96 =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & unit = e1) | (all_10_97 = e1 & ( ~
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e0) | unit = e1)) | (all_10_98 =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ( ~ (all_10_100 = e4) | unit = e1)) |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2313) gives:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1) |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2314) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2315) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2316) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) ~ (all_10_92 = e3) | unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2317) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) ~ (all_10_92 = e3)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2175), (2318) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2319) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2320) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2321) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2322) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) (all_10_91 = e1 & ( ~ (all_10_92 = e2) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_92 = e1 & unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_10_91 = e1 & ( ~ (all_10_92 = e2) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2324) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_10_91 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2293), (2325) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2326) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2327) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2328) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_10_92 = e1 & unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2329) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (2330) are inconsistent by sub-proof
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2331) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2332) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_10_93 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2333) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) e4 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (214), (442), (446), (574), (575), (576), (577),
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107), (2124), (2154), (2284), (2334) are
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) (all_10_94 = e1 & ( ~ (all_10_96 = e4) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_95 = e1 & ( ~ (all_10_96 = e2)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2335) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_10_94 = e1 & ( ~ (all_10_96 = e4) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2336) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_10_94 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2287), (2337) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2338) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2339) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2340) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) all_10_95 = e1 & ( ~ (all_10_96 = e2) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2341) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) ~ (all_10_96 = e2) | unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2342) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) ~ (all_10_96 = e2)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2110), (2343) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2344) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2345) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2346) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2347) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) (all_10_96 = e1 & unit = e1) | (all_10_97 = e1 & (
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_96 = e0) | unit = e1)) | (all_10_98
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_100 = e4) | unit = e1)) |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) (all_10_96 = e1 & unit = e1) | (all_10_97 = e1 & (
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_96 = e0) | unit = e1)) | (all_10_98
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_100 = e4) | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2349) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_10_96 = e1 & unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2350) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_10_96 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2110), (2352) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) e2 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2351) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (2091), (2092), (2353),
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) are inconsistent by sub-proof #118.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) (all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_98 = e1 & ( ~ (all_10_100 = e4)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2355) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit = e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (579), (2356) are inconsistent by sub-proof
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #117.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_10_98 = e1 & ( ~ (all_10_100 = e4) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2357) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) ~ (all_10_100 = e4) | unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) ~ (all_10_100 = e4)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2140), (2359) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2360) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2361) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2362) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2363) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2364) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2365) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2366) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_10_99 = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2310), (2367) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2368) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2369) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2370) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) (all_10_100 = e1 & unit = e1) | (all_10_101 = e1 &
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_100 = e0) | unit = e1))
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2371) gives:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_10_100 = e1 & unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2372) implies:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) unit = e1
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2373) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) e1 = e0
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2374) imply:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) $false
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2375) is inconsistent.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (545), (581), (2376) are inconsistent by sub-proof
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 73.07/10.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1)) | (all_10_105
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_113 = e0) | unit = e1)) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_108 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e2) | unit = e1)) | (all_10_109
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & unit = e1) | (all_10_110 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e4) | unit = e1)) | (all_10_111 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ( ~ (all_10_96 = e3) | unit = e1)) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1 & ( ~ (all_10_100 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_113 = e1 & unit = e1) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1 & ( ~ (all_10_109 = e0) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2377) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1)) | (all_10_105
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_113 = e0) | unit = e1)) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2378) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2380) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_10_102 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2182), (2381) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) e3 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2382) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2383) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) (all_10_103 = e1 & ( ~ (all_10_113 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_104 = e1 & ( ~ (all_10_113 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_10_103 = e1 & ( ~ (all_10_113 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2385) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_10_103 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2095), (2386) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) e2 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2387) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2388) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_10_104 = e1 & ( ~ (all_10_113 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2389) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_10_104 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2153), (2390) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) e4 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (214), (442), (446), (574), (575), (576), (577),
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107), (2124), (2154), (2284), (2391) are
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) (all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_106 = e1 & ( ~ (all_10_109 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e1)) | (all_10_107 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e3) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (2163), (2393) are inconsistent by
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2394) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2395) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_10_106 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2396) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) e4 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (214), (442), (446), (574), (575), (576), (577),
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107), (2124), (2154), (2284), (2397) are
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_10_107 = e1 & ( ~ (all_10_109 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (362), (579), (2398) are inconsistent by sub-proof
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) (all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_109 = e1 & unit = e1) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_111 = e1 & ( ~ (all_10_96 = e3)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_112 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e2) | unit = e1)) | (all_10_113
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & unit = e1) | (all_10_114 = e1 & ( ~
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e0) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2399) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) (all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_109 = e1 & unit = e1) |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (543), (581), (2401) are inconsistent by sub-proof
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) (all_10_109 = e1 & unit = e1) | (all_10_110 = e1 &
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_92 = e4) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_10_109 = e1 & unit = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2403) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) unit = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2404) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) e1 = e0
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2405) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2406) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2407) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_10_110 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2072), (2408) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) e2 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2409) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2410) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) (all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_112 = e1 & ( ~ (all_10_100 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1)) | (all_10_113 = e1 & unit
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_10_114 = e1 & ( ~ (all_10_109 = e0)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) (all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_112 = e1 & ( ~ (all_10_100 =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2412) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2413) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_10_111 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2125), (2414) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) e4 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (214), (442), (446), (574), (575), (576), (577),
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107), (2124), (2154), (2284), (2415) are
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #119.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_10_112 = e1 & ( ~ (all_10_100 = e2) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2416) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_10_112 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2196), (2417) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) e3 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2418) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2419) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) (all_10_113 = e1 & unit = e1) | (all_10_114 = e1 &
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_109 = e0) | unit = e1))
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2420) gives:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_10_113 = e1 & unit = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (2421) are inconsistent by sub-proof
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_10_114 = e1 & ( ~ (all_10_109 = e0) | unit =
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2422) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_10_114 = e1
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2423) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) e1 = e0
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2424) implies:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) e1 = e0
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2425) imply:
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) $false
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2426) is inconsistent.
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (2127), (2304), (2427) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_8_1 = e1)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (2428) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) ~ (all_4_5 = e1)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (554), (2080), (2296), (2429) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) ~ (all_8_4 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (2430) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) ~ (all_4_10 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (162), (166), (488), (490), (560), (561),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (563), (2154), (2176), (2289), (2431) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) ~ (all_8_2 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (2432) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) ~ (all_4_1 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_6_5 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2434) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_4_1 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2433), (2435) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) $false
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2436) is inconsistent.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (160), (486), (491), (547), (548), (549),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550), (2077), (2183), (2279), (2437) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) ~ (all_8_8 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (2438) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) ~ (all_4_12 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_6_12 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2440) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_4_12 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (2441) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) ~ (all_4_10 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2441) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) ~ (all_4_11 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (55), (162), (166), (488), (490), (560), (561),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (562), (563), (2154), (2176), (2442), (2443) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #107.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (2087), (2439), (2444) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (574), (578), (579), (580), (2092), (2150),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162), (2445) are inconsistent by sub-proof #103.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) ~ (all_8_9 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (2446) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) ~ (all_4_15 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (2111), (2171), (2447) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #220.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2448) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_6_18 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2449) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_4_18 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2142), (2450) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) $false
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2451) is inconsistent.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2452) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_6_18 = e3
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2453) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_4_18 = e3
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2454) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) ~ (all_4_3 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2454) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) ~ (all_4_15 = e3)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) all_6_3 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2457) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) all_4_15 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2458) implies:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_4_15 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2459) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) ~ (all_4_5 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) all_8_12 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2461) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) all_4_3 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2462) implies:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) all_4_3 = e0
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (2463) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) ~ (all_4_1 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (72), (90), (164), (167), (208), (374), (433),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (442), (477), (485), (486), (542), (547), (548),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553), (554), (566), (672), (2077), (2080),
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460), (2464) are inconsistent by sub-proof #128.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) ~ (all_8_12 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (2465) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) ~ (all_4_3 = e0)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (156), (502), (551), (552), (2096), (2455), (2466)
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #102.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (2111), (2456), (2467) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) all_6_18 = e2 | all_6_18 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (2114), (2468) are inconsistent by
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #173.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | (2469) all_8_15 = e4 | all_8_19 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2469) gives:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2470) all_8_15 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (2142), (2470) are inconsistent by
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2471) all_8_19 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2471) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2472) e4 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (2472) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | (2473) $false
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2473) is inconsistent.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | (2474) all_8_18 = e4
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (2474) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | (2475) e4 = e2
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | SIMP: (2475) implies:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | (2476) e4 = e2
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2476) imply:
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | (2477) $false
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2477) is inconsistent.
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | (2478) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 73.07/10.72 | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (555), (674), (676), (2478) are
% 73.07/10.72 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #157.
% 73.07/10.72 | | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | (2479) all_8_17 = e2
% 73.07/10.72 | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | | REF_CLOSE: (446), (578), (2479) are inconsistent by sub-proof
% 73.07/10.72 | | | | | | | | | | | | | | | #212.
% 73.07/10.72 | | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | (2480) all_8_21 = e2
% 73.07/10.72 | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | | REF_CLOSE: (467), (578), (2480) are inconsistent by sub-proof
% 73.07/10.72 | | | | | | | | | | | | #196.
% 73.07/10.72 | | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | | |
% 73.07/10.72 | | | | | | | | | End of split
% 73.07/10.72 | | | | | | | | |
% 73.07/10.72 | | | | | | | | Case 2:
% 73.07/10.72 | | | | | | | | |
% 73.07/10.72 | | | | | | | | | (2481) all_10_98 = e2
% 73.07/10.72 | | | | | | | | |
% 73.07/10.72 | | | | | | | | | REF_CLOSE: (398), (550), (2481) are inconsistent by sub-proof
% 73.07/10.72 | | | | | | | | | #100.
% 73.07/10.72 | | | | | | | | |
% 73.07/10.72 | | | | | | | | End of split
% 73.07/10.72 | | | | | | | |
% 73.07/10.72 | | | | | | | End of split
% 73.07/10.72 | | | | | | |
% 73.07/10.72 | | | | | | End of split
% 73.07/10.72 | | | | | |
% 73.07/10.73 | | | | | End of split
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | Case 2:
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | (2482) all_10_110 = e1
% 73.07/10.73 | | | | | (2483) ~ (all_10_113 = e4) | all_10_102 = e1
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | COMBINE_EQS: (430), (2482) imply:
% 73.07/10.73 | | | | | (2484) all_4_0 = e1
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | COMBINE_EQS: (473), (2484) imply:
% 73.07/10.73 | | | | | (2485) all_8_0 = e1
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (100), (2484) imply:
% 73.07/10.73 | | | | | (2486) ~ (all_4_2 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | SIMP: (2486) implies:
% 73.07/10.73 | | | | | (2487) ~ (all_4_2 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (99), (2484) imply:
% 73.07/10.73 | | | | | (2488) ~ (all_4_3 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (98), (2484) imply:
% 73.07/10.73 | | | | | (2489) ~ (all_4_5 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | SIMP: (2489) implies:
% 73.07/10.73 | | | | | (2490) ~ (all_4_5 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (97), (2484) imply:
% 73.07/10.73 | | | | | (2491) ~ (all_4_10 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | SIMP: (2491) implies:
% 73.07/10.73 | | | | | (2492) ~ (all_4_10 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (96), (2484) imply:
% 73.07/10.73 | | | | | (2493) ~ (all_4_15 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | REDUCE: (546), (2484) imply:
% 73.07/10.73 | | | | | (2494) ~ (e4 = e1)
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | BETA: splitting (2483) gives:
% 73.07/10.73 | | | | |
% 73.07/10.73 | | | | | Case 1:
% 73.07/10.73 | | | | | |
% 73.07/10.73 | | | | | | (2495) ~ (all_10_113 = e4)
% 73.07/10.73 | | | | | |
% 73.07/10.73 | | | | | | REDUCE: (373), (2495) imply:
% 73.07/10.73 | | | | | | (2496) ~ (all_4_18 = e4)
% 73.07/10.73 | | | | | |
% 73.07/10.73 | | | | | | BETA: splitting (208) gives:
% 73.07/10.73 | | | | | |
% 73.07/10.73 | | | | | | Case 1:
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | | (2497) all_8_4 = e1
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | | REF_CLOSE: (433), (2492), (2497) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | #171.
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | Case 2:
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | | (2498) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 =
% 73.07/10.73 | | | | | | | e1
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | | BETA: splitting (204) gives:
% 73.07/10.73 | | | | | | |
% 73.07/10.73 | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | | (2499) all_8_6 = e1
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | | REF_CLOSE: (447), (2487), (2499) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | | #99.
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | | (2500) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18
% 73.07/10.73 | | | | | | | | = e1
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | | BETA: splitting (2498) gives:
% 73.07/10.73 | | | | | | | |
% 73.07/10.73 | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | (2501) all_8_5 = e1
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | COMBINE_EQS: (442), (2501) imply:
% 73.07/10.73 | | | | | | | | | (2502) all_4_11 = e1
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | SIMP: (2502) implies:
% 73.07/10.73 | | | | | | | | | (2503) all_4_11 = e1
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | COMBINE_EQS: (408), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2504) all_10_95 = e1
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | REDUCE: (90), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2505) ~ (all_4_1 = e1)
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | REDUCE: (48), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2506) ~ (all_4_13 = e1)
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | REDUCE: (46), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2507) ~ (all_4_16 = e1)
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | REDUCE: (563), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2508) ~ (e3 = e1)
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | REDUCE: (119), (2503) imply:
% 73.07/10.73 | | | | | | | | | (2509) op(e3, e2) = e1
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | BETA: splitting (216) gives:
% 73.07/10.73 | | | | | | | | |
% 73.07/10.73 | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | (2510) all_8_1 = e1
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | REF_CLOSE: (432), (2490), (2510) are inconsistent by
% 73.07/10.73 | | | | | | | | | | sub-proof #263.
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | (2511) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 73.07/10.73 | | | | | | | | | | all_8_21 = e1
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | BETA: splitting (2500) gives:
% 73.07/10.73 | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | (2512) all_8_7 = e1
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | COMBINE_EQS: (449), (2512) imply:
% 73.07/10.73 | | | | | | | | | | | (2513) all_4_7 = e1
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | SIMP: (2513) implies:
% 73.07/10.73 | | | | | | | | | | | (2514) all_4_7 = e1
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | COMBINE_EQS: (395), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2515) all_10_99 = e1
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | REDUCE: (64), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2516) ~ (all_4_8 = e1)
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | REDUCE: (62), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2517) ~ (all_4_12 = e1)
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | REDUCE: (61), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2518) ~ (all_4_17 = e1)
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | REDUCE: (557), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2519) ~ (e2 = e1)
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | REDUCE: (115), (2514) imply:
% 73.07/10.73 | | | | | | | | | | | (2520) op(e2, e3) = e1
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | BETA: splitting (160) gives:
% 73.07/10.73 | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | (2521) all_6_10 = e0
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | COMBINE_EQS: (491), (2521) imply:
% 73.07/10.73 | | | | | | | | | | | | (2522) all_4_2 = e0
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | COMBINE_EQS: (447), (2522) imply:
% 73.07/10.73 | | | | | | | | | | | | (2523) all_8_6 = e0
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | COMBINE_EQS: (398), (2522) imply:
% 73.07/10.73 | | | | | | | | | | | | (2524) all_10_98 = e0
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | REDUCE: (94), (2522) imply:
% 73.07/10.73 | | | | | | | | | | | | (2525) ~ (all_4_1 = e0)
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | REDUCE: (84), (2522) imply:
% 73.07/10.73 | | | | | | | | | | | | (2526) ~ (all_4_12 = e0)
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | SIMP: (2526) implies:
% 73.07/10.73 | | | | | | | | | | | | (2527) ~ (all_4_12 = e0)
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.07/10.73 | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | (2528) all_6_5 = e0
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | REF_CLOSE: (486), (2525), (2528) are inconsistent by
% 73.07/10.73 | | | | | | | | | | | | | sub-proof #211.
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | (2529) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.07/10.73 | | | | | | | | | | | | | all_6_5 = e1
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | BETA: splitting (2529) gives:
% 73.07/10.73 | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | (2530) all_6_5 = e4
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (2530) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | | | | | | | | #209.
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | (2531) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 73.07/10.73 | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | (2532) all_8_0 = e3
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | COMBINE_EQS: (2485), (2532) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | (2533) e3 = e1
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | REDUCE: (579), (2533) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | (2534) $false
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | CLOSE: (2534) is inconsistent.
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | (2535) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 73.07/10.73 | | | | | | | | | | | | | | | all_8_20 = e3
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | BETA: splitting (2535) gives:
% 73.07/10.73 | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | (2536) all_8_2 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | REF_CLOSE: (439), (548), (2536) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | | | | | | | | | | #219.
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | (2537) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | BETA: splitting (2537) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | (2538) all_8_6 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | COMBINE_EQS: (2523), (2538) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | (2539) e3 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | REDUCE: (580), (2539) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | (2540) $false
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | CLOSE: (2540) is inconsistent.
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | (2541) all_8_12 = e3 | all_8_20 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | BETA: splitting (2541) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2542) all_8_12 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2542) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2543) all_4_3 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | SIMP: (2543) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2544) all_4_3 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (80), (2544) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2545) ~ (all_4_8 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (79), (2544) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2546) ~ (all_4_13 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | SIMP: (2546) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2547) ~ (all_4_13 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (78), (2544) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2548) ~ (all_4_18 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | SIMP: (2548) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2549) ~ (all_4_18 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | REDUCE: (551), (2544) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | (2550) ~ (e4 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | (2551) all_8_0 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2485), (2551) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | (2552) e2 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2552) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | (2553) $false
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | CLOSE: (2553) is inconsistent.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | (2554) all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | all_8_20 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2555) all_8_2 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2555) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2556) all_4_1 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | SIMP: (2556) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2557) all_4_1 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (2557) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2558) all_10_94 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2557) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2559) ~ (all_4_6 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2557) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2560) ~ (all_4_16 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | SIMP: (2560) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | (2561) ~ (all_4_16 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2562) all_6_1 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2562) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2563) all_4_5 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (2563) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2564) all_4_5 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (2564) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2565) ~ (all_4_6 = e0)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (2565) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2566) ~ (all_4_6 = e0)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2564) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2567) ~ (all_4_10 = e0)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | SIMP: (2567) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2568) ~ (all_4_10 = e0)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | (2569) all_6_2 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (2568), (2569) are inconsistent by
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | sub-proof #123.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | (2570) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2571) all_6_6 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2571) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2572) all_4_6 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2572) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2573) all_4_6 = e0
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2566), (2573) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2574) $false
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2574) is inconsistent.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2575) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (66), (158), (161), (202), (435),
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (444), (452), (478), (487), (488), (495), (498),
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (541), (555), (560), (561), (564), (568), (569),
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (570), (672), (674), (676), (2492), (2496),
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2527), (2561), (2570), (2575) are inconsistent by
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | (2576) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | (2577) all_6_1 = e4
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (554), (2577) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | #164.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | (2578) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2578) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2579) all_6_1 = e3
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (2579) are inconsistent by sub-proof
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | #163.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_6_1 = e3)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | (2581) all_6_1 = e2 | all_6_1 = e1
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_6_1 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2582) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_4_5 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2583) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_4_5 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (2584) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_10_90 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2584) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_4_8 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2586) implies:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2587) ~ (all_4_8 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2584) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2588) ~ (all_4_10 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (2584) imply:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (2589) ~ (e3 = e2)
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_8_12 = e2
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (464), (574), (578), (2541), (2590) are
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 73.07/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2591) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_8_13 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (2587), (2592) are inconsistent by
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2593) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_8_14 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2594) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_4_13 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2595) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) $false
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2596) is inconsistent.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_8_15 = e2 | all_8_19 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_8_15 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2598) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_4_18 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2599) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_4_18 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2600) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_10_113 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2600) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) ~ (all_4_15 = e2)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_6_12 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (2527), (2603) are inconsistent by
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_6_17 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2605) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_4_13 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2606) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_10_104 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (2606) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) ~ (all_4_8 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (2606) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) ~ (all_4_10 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_6_2 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2610) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_4_10 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2609), (2611) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) $false
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2612) is inconsistent.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_6_16 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2608), (2614) are inconsistent by
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #152.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2613) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_6_2 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2616) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_4_10 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2617) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) $false
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2618) is inconsistent.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) ~ (all_6_2 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2620) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_6_2 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (2621) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_4_10 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2622) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) ~ (all_4_15 = e3)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2623) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) ~ (all_4_15 = e3)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_6_3 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2625) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_4_15 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2626) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_4_15 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (2627) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) all_8_9 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2627) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_10_92 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (2627) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) ~ (e4 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_6_8 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2631) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_4_16 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2632) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_8_10 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (158), (202), (435), (452), (478),
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488), (495), (541), (560), (561), (564), (568),
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576), (577), (672), (2492), (2496), (2527),
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613), (2633) are inconsistent by sub-proof #96.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2634) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_6_8 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2635) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_4_16 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2636) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_8_10 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (2636) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_10_96 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2636) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) ~ (all_4_17 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2639) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) ~ (all_4_17 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_6_6 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2641) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_4_6 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2642) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_4_6 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2643) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_10_111 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2643) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) ~ (all_4_8 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2643) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) ~ (e3 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_6_13 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (2647) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_4_17 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_4_17 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2649) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_8_11 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (201), (435), (478), (541), (574), (579), (580),
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549), (2624), (2637), (2650) are inconsistent by
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) ~ (all_6_13 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (500), (2651) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) ~ (all_4_17 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_8_9 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2628), (2654) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) e3 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2655) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) $false
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2656) is inconsistent.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2657) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_8_10 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2637), (2658) are inconsistent by
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2659) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_8_11 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2660) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_4_17 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2661) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_4_17 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2662) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) ~ (all_4_12 = e3)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_6_12 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2664) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_4_12 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_4_12 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2666) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) all_10_112 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2615) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) all_6_16 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2668) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_4_8 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2669) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_10_103 = e4
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3)) |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3)) | (all_10_96 =
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_111 = e1) | unit = e3)) |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_98 = e3 & ( ~ (all_10_99 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_99 = e3 & unit = e3) |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_101 = e3 & ( ~ (all_10_99 = e0)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2671) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3)) |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3))
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2672) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3))
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2673) gives:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_10_90 = e3 & unit = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2674) implies:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) unit = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_10_90 = e3
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2585), (2676) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) e3 = e2
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2675) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) e3 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2677), (2678) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) e2 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2678) imply:
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_8_11 = e0
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2680)
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.07/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) (all_10_91 = e3 & ( ~ (all_10_90 = e2) | unit =
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_92 = e3 & ( ~ (all_10_90 = e1)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2681) gives:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) all_10_91 = e3 & ( ~ (all_10_90 = e2) | unit = e3)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2682) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) ~ (all_10_90 = e2) | unit = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2683) gives:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) ~ (all_10_90 = e2)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2585), (2684) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) $false
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2685) is inconsistent.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) unit = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2686) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) e3 = e0
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2687) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_8_11 = e0
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2688)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_10_92 = e3 & ( ~ (all_10_90 = e1) | unit = e3)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2689) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_10_92 = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2629), (2690) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) e3 = e0
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2691) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_8_11 = e0
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2692)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3))
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit = e3)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2694) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_10_93 = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2695) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) e4 = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2696) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) $false
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2697) is inconsistent.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) (all_10_94 = e3 & ( ~ (all_10_111 = e4) | unit =
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_95 = e3 & ( ~ (all_10_111 = e2)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2698) gives:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_10_94 = e3 & ( ~ (all_10_111 = e4) | unit =
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2699) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_10_94 = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2558), (2700) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) e3 = e2
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (447), (464), (500), (571), (572), (574),
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (2537), (2542), (2640), (2652), (2701) are
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_10_95 = e3 & ( ~ (all_10_111 = e2) | unit =
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2702) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_10_95 = e3
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2504), (2703) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) e3 = e1
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2704) implies:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) e3 = e1
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2705) imply:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) $false
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2706) is inconsistent.
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.07/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) (all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_97 = e3 & ( ~ (all_10_111 = e0)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_98 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4) | unit = e3)) | (all_10_99 =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & unit = e3) | (all_10_100 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1) | unit = e3)) | (all_10_101 =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_99 = e0) | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2707) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) (all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_97 = e3 & ( ~ (all_10_111 = e0)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_98 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4) | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2709) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_10_96 = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2638), (2710) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) e4 = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2711) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) $false
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2712) is inconsistent.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) (all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_98 = e3 & ( ~ (all_10_99 = e4)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2713) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (2644), (2714) are inconsistent by
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_10_98 = e3 & ( ~ (all_10_99 = e4) | unit = e3)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2715) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_10_98 = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2524), (2716) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) e3 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659),
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660), (2717) are inconsistent by sub-proof #85.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) (all_10_99 = e3 & unit = e3) | (all_10_100 = e3 &
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e1) | unit = e3)) | (all_10_101
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_99 = e0) | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_10_99 = e3 & unit = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2719) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) unit = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) all_10_99 = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2515), (2721) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) e3 = e1
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2722) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) e3 = e1
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2720) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) e3 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2724) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) e3 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2723), (2725) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) e1 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2725) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_8_11 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2727)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_101 = e3 & ( ~ (all_10_99 = e0)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2728) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2729) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_10_99 = e1) | unit = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2730) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) ~ (all_10_99 = e1)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2515), (2731) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) $false
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2732) is inconsistent.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) unit = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2733) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) e3 = e0
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659),
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660), (2734) are inconsistent by sub-proof #85.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_10_101 = e3 & ( ~ (all_10_99 = e0) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2735) implies:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_10_101 = e3
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (2736) imply:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) e3 = e2
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (447), (464), (500), (571), (572), (574),
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (2537), (2542), (2640), (2652), (2737) are
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #88.
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_105 = e3 & ( ~ (all_10_103 =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3)) | (all_10_106 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4) | unit = e3)) | (all_10_107
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & unit = e3) | (all_10_108 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e2) | unit = e3)) | (all_10_109
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_107 = e1) | unit = e3)) |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e3 & ( ~ (all_10_90 = e4) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_111 = e3 & unit = e3) |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3 & ( ~ (all_10_99 = e2) | unit =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_113 = e3 & ( ~ (all_10_103 =
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_114 = e3 & ( ~
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e0) | unit = e3))
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2738) gives:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_105 = e3 & ( ~ (all_10_103 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3)) | (all_10_106 = e3 & ( ~
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4) | unit = e3)) | (all_10_107
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & unit = e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2740) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2741) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) ~ (all_10_103 = e4) | unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2742) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) ~ (all_10_103 = e4)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2670), (2743) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) $false
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2744) is inconsistent.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2745) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660), (2746) are inconsistent by sub-proof #85.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) (all_10_103 = e3 & unit = e3) | (all_10_104 = e3 &
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_103 = e2) | unit = e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2747) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_10_103 = e3 & unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2748) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_10_103 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2670), (2750) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) e4 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2749) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2751), (2752) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) e4 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2637), (2753) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_8_10 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (158), (202), (435), (452), (478),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488), (495), (541), (560), (561), (564), (568),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (576), (577), (672), (2492), (2496), (2527),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613), (2754) are inconsistent by sub-proof #96.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_10_104 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2607), (2756) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660), (2757) are inconsistent by sub-proof #85.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) (all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_106 = e3 & ( ~ (all_10_107 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e3)) | (all_10_107 = e3 & unit
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2758) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (579), (2759) are inconsistent by sub-proof
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) (all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_107 = e3 & unit = e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2760) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (574), (2761) are inconsistent by sub-proof
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) all_10_107 = e3 & unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2762) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2763) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2764) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_8_11 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2765)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) (all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_109 = e3 & ( ~ (all_10_107 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_110 = e3 & ( ~
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_90 = e4) | unit = e3)) | (all_10_111 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & unit = e3) | (all_10_112 = e3 & ( ~
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e2) | unit = e3)) | (all_10_113 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_103 = e1) | unit = e3)) |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) (all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_109 = e3 & ( ~ (all_10_107 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_110 = e3 & ( ~
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_90 = e4) | unit = e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2768) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_10_108 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (2769) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) e3 = e2
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2542), (2770) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) all_8_12 = e2
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (447), (464), (500), (571), (572), (574),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (2537), (2640), (2652), (2771) are
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #216.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) (all_10_109 = e3 & ( ~ (all_10_107 = e1) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_110 = e3 & ( ~ (all_10_90 = e4)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2772) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_10_109 = e3 & ( ~ (all_10_107 = e1) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2773) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_10_109 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (2774) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) e3 = e1
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2775) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) $false
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2776) is inconsistent.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_10_110 = e3 & ( ~ (all_10_90 = e4) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2777) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) all_10_110 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2482), (2778) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) e3 = e1
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2779) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) $false
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2780) is inconsistent.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) (all_10_111 = e3 & unit = e3) | (all_10_112 = e3 &
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e2) | unit = e3)) | (all_10_113
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_103 = e1) | unit = e3)) |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) (all_10_111 = e3 & unit = e3) | (all_10_112 = e3 &
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e2) | unit = e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2782) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_10_111 = e3 & unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2783) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) unit = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (2784) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660), (2785) are inconsistent by sub-proof #85.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_10_112 = e3 & ( ~ (all_10_99 = e2) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2786) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_10_112 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2667), (2787) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) e4 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2788) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) e4 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (2789) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) $false
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2790) is inconsistent.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) (all_10_113 = e3 & ( ~ (all_10_103 = e1) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_114 = e3 & ( ~ (all_10_107 =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3))
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2791) gives:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_10_113 = e3 & ( ~ (all_10_103 = e1) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2792) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_10_113 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2601), (2793) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) e3 = e2
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2542), (2794) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_8_12 = e2
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (447), (464), (500), (571), (572), (574),
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (2537), (2640), (2652), (2795) are
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #216.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2796) implies:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_10_114 = e3
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (2797) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) e3 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2660), (2798) imply:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_8_11 = e0
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (580), (2549), (2659), (2799)
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #90.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (2587), (2800) are
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (2663), (2801) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_8_15 = e3 | all_8_23 = e3
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (541), (579), (2549), (2802) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #178.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (54), (66), (158), (161), (202), (435),
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444), (452), (478), (487), (488), (495), (498),
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (541), (555), (560), (561), (564), (568), (569),
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (570), (672), (674), (676), (2492), (2496),
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527), (2561), (2613), (2803) are inconsistent by
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (2561), (2804) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (2602), (2624), (2805) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_6_2 = e2 | all_6_2 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (2492), (2806) are inconsistent by
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2807) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) all_6_17 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (2808) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_4_13 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (2809) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_4_8 = e4)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2809) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) ~ (all_4_12 = e4)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_6_16 = e0
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2812) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_4_8 = e0
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2813) implies:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_4_8 = e0
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2814) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) ~ (all_4_6 = e0)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_6_6 = e0
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2816) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_4_6 = e0
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2815), (2817) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) $false
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2818) is inconsistent.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2819) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_6_6 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2820) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_4_6 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2821) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_10_111 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2823) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2824) implies:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) ~ (all_10_111 = e4)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2822), (2825) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) $false
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2826) is inconsistent.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2827) implies:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) ~ (all_10_112 = e3)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (392), (2828) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) ~ (all_4_12 = e3)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_6_12 = e4
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (2811), (2830) are inconsistent by
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #273.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (2829), (2831) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2833) implies:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) ~ (all_10_113 = e2)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2601), (2834) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) $false
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2835) is inconsistent.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (2482), (2836) are inconsistent by
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (555), (674), (676), (2837) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #157.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (2587), (2810), (2838) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (2547), (2839) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_8_19 = e2
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2840) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) e2 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2841) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) $false
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2842) is inconsistent.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_6_1 = e1
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (2490), (2843) are inconsistent by
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | (2844) ~ (all_8_2 = e2)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | REDUCE: (439), (2844) imply:
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | (2845) ~ (all_4_1 = e2)
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (2505), (2531), (2845) are
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #203.
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | (2846) all_8_20 = e3
% 73.41/10.77 | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | | REF_CLOSE: (464), (574), (2846) are inconsistent by sub-proof
% 73.41/10.77 | | | | | | | | | | | | | | | | | | #218.
% 73.41/10.77 | | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | End of split
% 73.41/10.77 | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | Case 2:
% 73.41/10.77 | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | (2847) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 73.41/10.77 | | | | | | | | | | | | all_6_10 = e1
% 73.41/10.77 | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | BETA: splitting (2847) gives:
% 73.41/10.77 | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | Case 1:
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | (2848) all_6_10 = e4
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | COMBINE_EQS: (491), (2848) imply:
% 73.41/10.77 | | | | | | | | | | | | | (2849) all_4_2 = e4
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | REDUCE: (549), (2849) imply:
% 73.41/10.77 | | | | | | | | | | | | | (2850) $false
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.77 | | | | | | | | | | | | | CLOSE: (2850) is inconsistent.
% 73.41/10.77 | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | (2851) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 73.41/10.78 | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 73.41/10.78 | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | (2852) all_6_10 = e3
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | COMBINE_EQS: (491), (2852) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2853) all_4_2 = e3
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | COMBINE_EQS: (398), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2854) all_10_98 = e3
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (87), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2855) ~ (all_4_3 = e3)
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | SIMP: (2855) implies:
% 73.41/10.78 | | | | | | | | | | | | | | (2856) ~ (all_4_3 = e3)
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (84), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2857) ~ (all_4_12 = e3)
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | SIMP: (2857) implies:
% 73.41/10.78 | | | | | | | | | | | | | | (2858) ~ (all_4_12 = e3)
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (597), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2859) op(e3, e4) = all_10_19
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (598), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2860) op(e3, e2) = all_10_18
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (631), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2861) op(e2, e3) = all_10_49
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | REDUCE: (116), (2853) imply:
% 73.41/10.78 | | | | | | | | | | | | | | (2862) op(e2, e4) = e3
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 73.41/10.78 | | | | | | | | | | | | | | all_10_49, e3, e2, simplifying with (2520), (2861)
% 73.41/10.78 | | | | | | | | | | | | | | gives:
% 73.41/10.78 | | | | | | | | | | | | | | (2863) all_10_49 = e1
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 73.41/10.78 | | | | | | | | | | | | | | all_10_18, e2, e3, simplifying with (2509), (2860)
% 73.41/10.78 | | | | | | | | | | | | | | gives:
% 73.41/10.78 | | | | | | | | | | | | | | (2864) all_10_18 = e1
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1,
% 73.41/10.78 | | | | | | | | | | | | | | all_10_19, e4, e3, simplifying with (121), (2859)
% 73.41/10.78 | | | | | | | | | | | | | | gives:
% 73.41/10.78 | | | | | | | | | | | | | | (2865) all_10_19 = all_4_1
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 73.41/10.78 | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | (2866) all_6_6 = e0
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2866) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | (2867) all_4_6 = e0
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | SIMP: (2867) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | (2868) all_4_6 = e0
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | REDUCE: (91), (2868) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | (2869) ~ (all_4_1 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | REDUCE: (76), (2868) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | (2870) ~ (all_4_5 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | REDUCE: (66), (2868) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | (2871) ~ (all_4_16 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | SIMP: (2871) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | (2872) ~ (all_4_16 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | (2873) all_6_1 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2873) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2874) all_4_5 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | REDUCE: (2870), (2874) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2875) $false
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | CLOSE: (2875) is inconsistent.
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | (2876) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2877) all_6_5 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2877) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2878) all_4_1 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | REDUCE: (2869), (2878) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2879) $false
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | CLOSE: (2879) is inconsistent.
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2880) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | BETA: splitting (223) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2881) all_8_0 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2485), (2881) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2882) e2 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | REDUCE: (581), (2882) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2883) $false
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | CLOSE: (2883) is inconsistent.
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2884) all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | all_8_20 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | BETA: splitting (2884) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2885) all_8_2 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2885) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2886) all_4_1 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | SIMP: (2886) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2887) all_4_1 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2865), (2887) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2888) all_10_19 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | REDUCE: (89), (2887) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2889) ~ (all_4_16 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | SIMP: (2889) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2890) ~ (all_4_16 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | (2891) all_6_1 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (554), (2891) are inconsistent by sub-proof
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | #164.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | (2892) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | (2893) all_6_8 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (2872), (2893) are inconsistent by
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | sub-proof #210.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | (2894) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | (2895) ~ (all_10_19 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2888), (2895) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | (2896) $false
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2896) is inconsistent.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | (2897) all_10_18 = e4 | all_10_91 = all_10_98
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2898) all_10_18 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2864), (2898) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2899) e4 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2899) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2900) e4 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (2900) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2901) $false
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2901) is inconsistent.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2902) all_10_91 = all_10_98
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2902) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2903) all_10_98 = all_4_10
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (2903) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2904) all_4_10 = e3
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2904) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2905) all_4_10 = e3
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2905) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2906) ~ (all_4_15 = e3)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2906) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | (2907) ~ (all_4_15 = e3)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_8_1 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (2908) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_4_5 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2909) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_4_5 = e2
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2910) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2911) ~ (all_4_15 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2911) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2912) ~ (all_4_15 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_6_3 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (2913) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_4_15 = e0
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2914) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | (2915) ~ (all_4_17 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2915) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (all_4_17 = e0)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2894) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_6_8 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2917) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_4_16 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2918) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) ~ (all_4_17 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2919) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) ~ (all_4_17 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (157), (491), (500), (550), (571), (572),
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2487), (2851), (2916), (2920) are inconsistent by
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #229.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (2890), (2921) are
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | (2922) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (2907), (2912), (2922) are
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2923) ~ (all_8_1 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (2923) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | (2924) ~ (all_4_5 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (2490), (2892), (2924) are
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2925) ~ (all_8_2 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | REDUCE: (439), (2925) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2926) ~ (all_4_1 = e2)
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (548), (2505), (2880), (2926) are
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | End of split
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | (2927) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 73.41/10.78 | | | | | | | | | | | | | | | all_6_6 = e1
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | BETA: splitting (2927) gives:
% 73.41/10.78 | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | (2928) all_6_6 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (2928) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2929) all_4_6 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | SIMP: (2929) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2930) all_4_6 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (2930) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2931) all_10_111 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | REDUCE: (68), (2930) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2932) ~ (all_4_8 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | SIMP: (2932) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2933) ~ (all_4_8 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | REDUCE: (66), (2930) imply:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2934) ~ (all_4_16 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | SIMP: (2934) implies:
% 73.41/10.78 | | | | | | | | | | | | | | | | (2935) ~ (all_4_16 = e4)
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2936) all_8_12 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (551), (2936) are inconsistent by sub-proof
% 73.41/10.78 | | | | | | | | | | | | | | | | | #125.
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | (2937) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | all_8_19 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | BETA: splitting (2937) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2938) all_8_13 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (2933), (2938) are inconsistent by
% 73.41/10.78 | | | | | | | | | | | | | | | | | | sub-proof #79.
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | (2939) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2940) all_8_9 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (568), (2940) are inconsistent by sub-proof
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | #98.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | (2941) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | all_8_23 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (2941) gives:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | (2942) all_8_10 = e4
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2935), (2942) are inconsistent by
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.78 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | (2943) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2943) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2944) all_8_11 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2944) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2945) all_4_17 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | SIMP: (2945) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2946) all_4_17 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (2946) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2947) all_10_100 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2946) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2948) ~ (all_4_12 = e4)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (2946) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | (2949) op(e2, e4) = all_10_77
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | (2950) all_6_12 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (2950) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | (2951) all_4_12 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2951) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | (2952) all_10_112 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2951) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | (2953) ~ (all_4_13 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2953) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | (2954) ~ (all_4_13 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2939) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2955) all_8_14 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (2955) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2956) all_4_13 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2956) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2957) all_4_13 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (2957) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2958) all_10_104 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (2957) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (all_4_18 = e4)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (2957) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | (2960) op(e2, e4) = all_10_68
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_8_4 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (2961) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_4_10 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2962) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_4_10 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2963) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_10_91 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2963) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2965) ~ (e4 = e3)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (2963) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | (2966) op(e2, e3) = all_10_63
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2967) all_8_12 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2967) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_4_3 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2968) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_4_3 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2856), (2969) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2970) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2970) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2971) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_8_13 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (558), (2972) are inconsistent by sub-proof
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | #77.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2973) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) all_8_14 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (2955), (2974) are inconsistent by
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) all_8_15 = e3 | all_8_19 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2975) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) all_8_15 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (2976) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_4_18 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (2977) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_10_113 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2977) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) ~ (all_4_15 = e3)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_63, e3, e2, simplifying with (2520), (2966)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_10_63 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_68, e4, e2, simplifying with (2862), (2960)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_10_68 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_77,
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_68, e4, e2, simplifying with (2949), (2960)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_10_68 = all_10_77
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2981), (2982) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_10_77 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2983) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_10_77 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_6_15 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (2985) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_4_3 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2986) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_4_3 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (2987) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_8_12 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (2987) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) ~ (all_4_1 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2987) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) ~ (all_4_8 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2990) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) ~ (all_4_8 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_6_5 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2989), (2992) are inconsistent by
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2993) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_6_5 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (2994) are inconsistent by sub-proof
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_6_5 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (2996) are inconsistent by sub-proof
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_6_5 = e2 | all_6_5 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2997) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_6_5 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2998) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_4_1 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2999) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_4_1 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (3000) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_10_94 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3000) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_4_16 = e2)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3002) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (all_4_16 = e2)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (3000) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) op(e2, e4) = all_10_10
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3000) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) op(e2, e3) = all_10_9
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_6_8 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3006) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_4_16 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3007) implies:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_4_16 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (3008) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) ~ (all_4_15 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2935), (3008) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) ~ (e4 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (3008) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) ~ (e3 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3003), (3008) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) ~ (e2 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (3008) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) ~ (e1 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_6_3 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3014) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_4_15 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3009), (3015) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3016) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) ~ (all_6_3 = e0)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3018) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_6_3 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3019) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_4_15 = e4
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (3020) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3021) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) ~ (all_6_3 = e4)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_8_12 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2988), (3024) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) e2 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3025) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3026) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e2
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3023) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_6_3 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3028) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_4_15 = e3
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2979), (3029) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3030) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) ~ (all_6_3 = e3)
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_6_3 = e2 | all_6_3 = e1
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_8_0 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2485), (3033) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) e1 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3034) imply:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) $false
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3035) is inconsistent.
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3036) gives:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.41/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_8_1 = e0
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (3037) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_4_5 = e0
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (3038) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_10_90 = e0
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3032) gives:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_6_3 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3040) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_4_15 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3041) implies:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) all_4_15 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (3042) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) ~ (e4 = e2)
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2979), (3042) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) ~ (e3 = e2)
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3042) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) op(e2, e4) = all_10_5
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_8_13 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3046) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_4_8 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3047) implies:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_4_8 = e2
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_9,
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2520), (3005) gives:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_10_9 = e1
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_5,
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (2862), (3045) gives:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_10_5 = e3
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_10,
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (3004), (3045)
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_10_5 = all_10_10
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3050), (3051) imply:
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_10_10 = e3
% 73.60/10.79 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) ~ (all_10_10 = e3)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3052), (3053) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3054) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_10_9 = e4 | all_10_90 = all_10_94
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3055) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_10_9 = e4
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3049), (3056) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) e4 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3057) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) e4 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3058) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3059) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_10_90 = all_10_94
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3039), (3060) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) all_10_94 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3001), (3061) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) e2 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3062) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3063) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (575), (578), (581), (2955), (2976), (3064)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #76.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_6_3 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (3065) are inconsistent by sub-proof
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (438), (577), (580), (2961), (3009), (3066)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #72.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (2935), (3003), (3067) are
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) all_6_5 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2505), (3068) are inconsistent by
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3069) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_6_15 = e4
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (3070) are inconsistent by sub-proof
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_6_15 = e4)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3072) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_6_15 = e3
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (3073) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_4_3 = e3
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3074) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_4_3 = e3
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2856), (3075) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3076) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) ~ (all_6_15 = e3)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_6_15 = e2 | all_6_15 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3078) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_6_15 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (3079) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) all_4_3 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3080) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_4_3 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (3081) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_8_12 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3081) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) ~ (all_4_1 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (3081) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) ~ (all_4_8 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3084) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) ~ (all_4_8 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_6_5 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3086) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_4_1 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3087) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_4_1 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (3088) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_10_94 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3088) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) ~ (all_4_16 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3090) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) ~ (all_4_16 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) all_6_16 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3092) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_4_8 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3093) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_4_8 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3094) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_10_103 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3094) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) ~ (all_4_5 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2933), (3094) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) ~ (e4 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (3094) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) ~ (e3 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (3094) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) ~ (e1 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_6_1 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3100) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_4_5 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3096), (3101) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3102) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3103) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_6_1 = e4
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3104) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) all_4_5 = e4
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3105) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3106) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (all_6_1 = e4)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3108) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_6_1 = e3
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3109) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_4_5 = e3
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (3110) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) $false
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3111) is inconsistent.
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) ~ (all_6_1 = e3)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_6_1 = e2 | all_6_1 = e1
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3113) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_6_1 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3114) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) all_4_5 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (3115) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) all_8_1 = e2
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (3115) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) ~ (all_4_15 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3117) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) ~ (all_4_15 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3115) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) ~ (e4 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (3115) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (e3 = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_6_3 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (3121) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_4_15 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3122) implies:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_4_15 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (3123) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_8_9 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (3123) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) all_10_92 = e0
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3118), (3123) imply:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) ~ (e2 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_93 = e2 & ( ~ (all_10_91 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_94 = e2 & ( ~
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4) | unit = e2)) | (all_10_95 =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & unit = e2) | (all_10_96 = e2 & ( ~
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e1) | unit = e2)) | (all_10_97 =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ( ~ (all_10_95 = e0) | unit = e2)) |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e2 & ( ~ (all_10_112 = e4) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_99 = e2 & ( ~ (all_10_112 = e3)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_100 = e2 & ( ~
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) | unit = e2)) | (all_10_101
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_112 = e0) | unit = e2))
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3127) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_93 = e2 & ( ~ (all_10_91 = e0)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_94 = e2 & ( ~
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4) | unit = e2)) | (all_10_95 =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & unit = e2)
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3128) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.80 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3130) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) ~ (all_10_91 = e3) | unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) ~ (all_10_91 = e3)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2964), (3132) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3133) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3134) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3135) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3136) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) (all_10_91 = e2 & unit = e2) | (all_10_92 = e2 & (
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_91 = e1) | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3137) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) all_10_91 = e2 & unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3138) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3139) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3140) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3141) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3142) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_10_92 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3125), (3143) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3144) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3145) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3146) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) (all_10_93 = e2 & ( ~ (all_10_91 = e0) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_94 = e2 & ( ~ (all_10_95 = e4)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_95 = e2 & unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3147) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_10_93 = e2 & ( ~ (all_10_91 = e0) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3148) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_10_93 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3149) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) e4 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3150) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3151) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) (all_10_94 = e2 & ( ~ (all_10_95 = e4) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_95 = e2 & unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3152) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) all_10_94 = e2 & ( ~ (all_10_95 = e4) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3153) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) all_10_94 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3089), (3154) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3155) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3156) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3157) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_10_95 = e2 & unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3158) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_10_95 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2504), (3160) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) e2 = e1
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3161) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) e2 = e1
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3159) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3163) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3162), (3164) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) e1 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3164) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3166) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_97 = e2 & ( ~ (all_10_95 = e0)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_98 = e2 & ( ~
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) | unit = e2)) | (all_10_99 =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ( ~ (all_10_112 = e3) | unit = e2)) |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_101 = e2 & ( ~ (all_10_112 =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_97 = e2 & ( ~ (all_10_95 = e0)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_98 = e2 & ( ~
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_10_96 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) ~ (all_10_95 = e1) | unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (3170) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_4_16 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3171) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) ~ (all_10_95 = e1)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2504), (3173) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3174) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3175) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) e2 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3176) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_8_12 = e0
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3177) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) (all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_98 = e2 & ( ~ (all_10_112 = e4)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3178) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit = e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (578), (3179) are inconsistent by sub-proof
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) all_10_98 = e2 & ( ~ (all_10_112 = e4) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3180) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_10_98 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (3181) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) e3 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3182) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3183) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) (all_10_99 = e2 & ( ~ (all_10_112 = e3) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_100 = e2 & ( ~ (all_10_112 =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e2)) | (all_10_101 = e2 & ( ~
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3184) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_10_99 = e2 & ( ~ (all_10_112 = e3) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3185) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_10_99 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2515), (3186) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) e2 = e1
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (224), (438), (473), (502), (551), (552),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575), (578), (581), (582), (2856), (2961),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069), (3116), (3124), (3187) are inconsistent by
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) (all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_101 = e2 & ( ~ (all_10_112 =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3188) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3189) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_10_100 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2947), (3190) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) e4 = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3191) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3192) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_10_101 = e2 & ( ~ (all_10_112 = e0) | unit =
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3193) implies:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) ~ (all_10_112 = e0) | unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3194) gives:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) ~ (all_10_112 = e0)
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2952), (3195) imply:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) $false
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3196) is inconsistent.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) unit = e2
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (196), (458), (462), (575), (578), (581),
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (2955), (2976), (3082), (3085), (3197) are
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_10_105 = e2 & ( ~ (all_10_104 = e0)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_106 = e2 & ( ~
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e4) | unit = e2)) | (all_10_107
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_108 = e3) | unit = e2)) |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_111 = e2 & ( ~ (all_10_95 = e3)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_112 = e2 & unit = e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3198) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_10_105 = e2 & ( ~ (all_10_104 = e0)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_106 = e2 & ( ~
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e4) | unit = e2)) | (all_10_107
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_108 = e3) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3199) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3200) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3201) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) ~ (all_10_104 = e4) | unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) ~ (all_10_104 = e4)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2958), (3203) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) $false
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3204) is inconsistent.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (196), (458), (462), (575), (578), (581),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (2955), (2976), (3082), (3085), (3205) are
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) (all_10_103 = e2 & ( ~ (all_10_104 = e3) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_104 = e2 & unit = e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3206) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_10_103 = e2 & ( ~ (all_10_104 = e3) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3207) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_10_103 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3095), (3208) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3209) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3210) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) all_8_12 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3211) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_10_104 = e2 & unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3212) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_10_104 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2958), (3214) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) e4 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3215) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) e4 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3213) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3216), (3217) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) e4 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2944), (3218) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_8_11 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2941) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_8_10 = e4
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2935), (3220) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2943) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (3218) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) $false
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3221) is inconsistent.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_8_15 = e4 | all_8_23 = e4
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3222) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_8_15 = e4
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2976), (3223) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) e4 = e3
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (3224) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) $false
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3225) is inconsistent.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_8_23 = e4
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (576), (3226) are inconsistent by sub-proof
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #97.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) (all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_106 = e2 & ( ~ (all_10_108 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e2)) | (all_10_107 = e2 & ( ~
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e3) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3227) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3228) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_10_105 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (3229) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) e2 = e1
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (224), (438), (473), (502), (551), (552),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575), (578), (581), (582), (2856), (2961),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069), (3116), (3124), (3230) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) (all_10_106 = e2 & ( ~ (all_10_108 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_107 = e2 & ( ~ (all_10_108 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (362), (366), (575), (578), (3231) are
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_111 = e2 & ( ~ (all_10_95 = e3)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_112 = e2 & unit = e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3232) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3233) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_10_108 = e2 & unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3234) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3235) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3236) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3237) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_8_12 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3238) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) (all_10_109 = e2 & ( ~ (all_10_108 = e1) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_110 = e2 & ( ~ (all_10_91 = e4)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3239) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_10_109 = e2 & ( ~ (all_10_108 = e1) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3240) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_10_109 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (3241) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) e2 = e1
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (224), (438), (473), (502), (551), (552),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575), (578), (581), (582), (2856), (2961),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069), (3116), (3124), (3242) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3243) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) all_10_110 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2482), (3244) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) e2 = e1
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (224), (438), (473), (502), (551), (552),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575), (578), (581), (582), (2856), (2961),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069), (3116), (3124), (3245) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #64.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) (all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_112 = e2 & unit = e2) |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3246) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) (all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_112 = e2 & unit = e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3247) gives:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3248) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_10_111 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2931), (3249) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) e4 = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3250) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) $false
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3251) is inconsistent.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_10_112 = e2 & unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) unit = e2
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3253) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) e2 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3254) imply:
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_8_12 = e0
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3255) are inconsistent by
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3256) gives:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3257) implies:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_10_113 = e2
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2978), (3258) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) e3 = e2
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3259) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3260) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_10_114 = e2 & ( ~ (all_10_108 = e0) | unit =
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3261) implies:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_10_114 = e2
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (3262) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) e2 = e0
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3263) implies:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) e2 = e0
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3082), (3264) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_8_12 = e0
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955), (2976), (3085), (3265) are inconsistent by
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) ~ (all_6_3 = e0)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (3266) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) ~ (all_4_15 = e0)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (199), (201), (435), (444), (541), (570), (574),
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577), (579), (580), (583), (2944), (2979),
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091), (3267) are inconsistent by sub-proof #58.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_6_1 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3268) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_4_5 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2490), (3269) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3270) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (2933), (3085), (3271) are
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #81.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (548), (2505), (3083), (3272) are
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_6_15 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (3273) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_4_3 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3274) implies:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_4_3 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3275) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3276) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_8_19 = e3
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3277) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) e3 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3278) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3279) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3280) ~ (all_8_4 = e3)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (3280) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3281) ~ (all_4_10 = e3)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (158), (166), (488), (495), (560), (561),
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (564), (672), (2492), (2858), (2948), (3281) are
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | (3282) ~ (all_8_14 = e4)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (3282) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | (3283) ~ (all_4_13 = e4)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_6_17 = e0
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3284) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_4_13 = e0
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2954), (3285) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3286) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3286) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3287) gives:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3288) all_6_17 = e4
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3288) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_4_13 = e4
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3283), (3289) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3290) $false
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3290) is inconsistent.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3291) gives:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_6_17 = e3
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3292) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_4_13 = e3
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3293) imply:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) ~ (all_4_10 = e3)
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (158), (166), (488), (495), (560), (561),
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (564), (672), (2492), (2858), (2948), (3294) are
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_6_17 = e2 | all_6_17 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (3295) are inconsistent by
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | (3296) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (2858), (2948), (3296) are
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | (3297) all_8_15 = e4 | all_8_23 = e4
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3297) gives:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | (3298) all_8_15 = e4
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (478), (2496), (3298) are inconsistent by
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | sub-proof #101.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | (3299) all_8_23 = e4
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (576), (3299) are inconsistent by sub-proof
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | | #97.
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | (3300) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 73.60/10.83 | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | | REF_CLOSE: (487), (555), (674), (676), (3300) are
% 73.60/10.83 | | | | | | | | | | | | | | | | inconsistent by sub-proof #157.
% 73.60/10.83 | | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | (3301) all_6_10 = e2 | all_6_10 = e1
% 73.60/10.83 | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | | REF_CLOSE: (491), (550), (2487), (3301) are inconsistent by
% 73.60/10.83 | | | | | | | | | | | | | | sub-proof #268.
% 73.60/10.83 | | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | (3302) ~ (all_8_7 = e1)
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | REDUCE: (449), (3302) imply:
% 73.60/10.83 | | | | | | | | | | | (3303) ~ (all_4_7 = e1)
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | REF_CLOSE: (449), (458), (467), (474), (559), (579), (674),
% 73.60/10.83 | | | | | | | | | | | (2511), (3303) are inconsistent by sub-proof #262.
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | End of split
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | (3304) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | REF_CLOSE: (374), (477), (542), (566), (581), (672), (3304)
% 73.60/10.83 | | | | | | | | | are inconsistent by sub-proof #252.
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | End of split
% 73.60/10.83 | | | | | | | |
% 73.60/10.83 | | | | | | | End of split
% 73.60/10.83 | | | | | | |
% 73.60/10.83 | | | | | | End of split
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | Case 2:
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | (3305) all_10_102 = e1
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | REF_CLOSE: (382), (552), (3305) are inconsistent by sub-proof #56.
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | End of split
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | End of split
% 73.60/10.83 | | | |
% 73.60/10.83 | | | Case 2:
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | (3306) all_10_111 = e2
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | COMBINE_EQS: (411), (3306) imply:
% 73.60/10.83 | | | | (3307) all_4_6 = e2
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | COMBINE_EQS: (474), (3307) imply:
% 73.60/10.83 | | | | (3308) all_8_3 = e2
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (91), (3307) imply:
% 73.60/10.83 | | | | (3309) ~ (all_4_1 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (76), (3307) imply:
% 73.60/10.83 | | | | (3310) ~ (all_4_5 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (69), (3307) imply:
% 73.60/10.83 | | | | (3311) ~ (all_4_7 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (68), (3307) imply:
% 73.60/10.83 | | | | (3312) ~ (all_4_8 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | SIMP: (3312) implies:
% 73.60/10.83 | | | | (3313) ~ (all_4_8 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (67), (3307) imply:
% 73.60/10.83 | | | | (3314) ~ (all_4_11 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (66), (3307) imply:
% 73.60/10.83 | | | | (3315) ~ (all_4_16 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | SIMP: (3315) implies:
% 73.60/10.83 | | | | (3316) ~ (all_4_16 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | REDUCE: (555), (3307) imply:
% 73.60/10.83 | | | | (3317) ~ (e3 = e2)
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | BETA: splitting (328) gives:
% 73.60/10.83 | | | |
% 73.60/10.83 | | | | Case 1:
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | (3318) ~ (all_10_111 = e2)
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | REDUCE: (3306), (3318) imply:
% 73.60/10.83 | | | | | (3319) $false
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | CLOSE: (3319) is inconsistent.
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | Case 2:
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | (3320) ~ (all_10_112 = e3) | all_10_95 = e3
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | BETA: splitting (3320) gives:
% 73.60/10.83 | | | | |
% 73.60/10.83 | | | | | Case 1:
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | (3321) ~ (all_10_112 = e3)
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | REDUCE: (392), (3321) imply:
% 73.60/10.83 | | | | | | (3322) ~ (all_4_12 = e3)
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | BETA: splitting (329) gives:
% 73.60/10.83 | | | | | |
% 73.60/10.83 | | | | | | Case 1:
% 73.60/10.83 | | | | | | |
% 73.60/10.83 | | | | | | | (3323) ~ (all_10_110 = e1)
% 73.60/10.83 | | | | | | |
% 73.60/10.83 | | | | | | | REDUCE: (430), (3323) imply:
% 73.60/10.83 | | | | | | | (3324) ~ (all_4_0 = e1)
% 73.60/10.83 | | | | | | |
% 73.60/10.83 | | | | | | | BETA: splitting (330) gives:
% 73.60/10.83 | | | | | | |
% 73.60/10.83 | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | |
% 73.60/10.83 | | | | | | | | (3325) ~ (all_10_110 = e2)
% 73.60/10.83 | | | | | | | |
% 73.60/10.83 | | | | | | | | REDUCE: (430), (3325) imply:
% 73.60/10.83 | | | | | | | | (3326) ~ (all_4_0 = e2)
% 73.60/10.83 | | | | | | | |
% 73.60/10.83 | | | | | | | | BETA: splitting (223) gives:
% 73.60/10.83 | | | | | | | |
% 73.60/10.83 | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | (3327) all_8_0 = e2
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | REF_CLOSE: (473), (3326), (3327) are inconsistent by sub-proof
% 73.60/10.83 | | | | | | | | | #55.
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | (3328) ~ (all_8_0 = e2)
% 73.60/10.83 | | | | | | | | | (3329) all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 |
% 73.60/10.83 | | | | | | | | | all_8_20 = e2
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | BETA: splitting (3329) gives:
% 73.60/10.83 | | | | | | | | |
% 73.60/10.83 | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | (3330) all_8_2 = e2
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | REF_CLOSE: (439), (3309), (3330) are inconsistent by
% 73.60/10.83 | | | | | | | | | | sub-proof #131.
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | Case 2:
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | (3331) all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | BETA: splitting (224) gives:
% 73.60/10.83 | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | Case 1:
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.83 | | | | | | | | | | | (3332) all_8_0 = e2
% 73.60/10.83 | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | REF_CLOSE: (473), (3326), (3332) are inconsistent by
% 73.60/10.84 | | | | | | | | | | | sub-proof #55.
% 73.60/10.84 | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | (3333) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 73.60/10.84 | | | | | | | | | | | all_8_16 = e2
% 73.60/10.84 | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | BETA: splitting (3331) gives:
% 73.60/10.84 | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | (3334) all_8_6 = e2
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | COMBINE_EQS: (447), (3334) imply:
% 73.60/10.84 | | | | | | | | | | | | (3335) all_4_2 = e2
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | SIMP: (3335) implies:
% 73.60/10.84 | | | | | | | | | | | | (3336) all_4_2 = e2
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | REDUCE: (550), (3336) imply:
% 73.60/10.84 | | | | | | | | | | | | (3337) $false
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | CLOSE: (3337) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | (3338) all_8_12 = e2 | all_8_20 = e2
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | BETA: splitting (3338) gives:
% 73.60/10.84 | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | (3339) all_8_12 = e2
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | COMBINE_EQS: (456), (3339) imply:
% 73.60/10.84 | | | | | | | | | | | | | (3340) all_4_3 = e2
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | SIMP: (3340) implies:
% 73.60/10.84 | | | | | | | | | | | | | (3341) all_4_3 = e2
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | COMBINE_EQS: (382), (3341) imply:
% 73.60/10.84 | | | | | | | | | | | | | (3342) all_10_102 = e2
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | REDUCE: (551), (3341) imply:
% 73.60/10.84 | | | | | | | | | | | | | (3343) ~ (e4 = e2)
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | REDUCE: (638), (3341) imply:
% 73.60/10.84 | | | | | | | | | | | | | (3344) op(e1, e2) = all_10_51
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | REDUCE: (111), (3341) imply:
% 73.60/10.84 | | | | | | | | | | | | | (3345) op(e1, e4) = e2
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | BETA: splitting (200) gives:
% 73.60/10.84 | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | (3346) all_8_9 = e2
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | COMBINE_EQS: (435), (3346) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3347) all_4_15 = e2
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | SIMP: (3347) implies:
% 73.60/10.84 | | | | | | | | | | | | | | (3348) all_4_15 = e2
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | COMBINE_EQS: (421), (3348) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3349) all_10_92 = e2
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | REDUCE: (37), (3348) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3350) ~ (all_4_17 = e2)
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | REDUCE: (36), (3348) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3351) ~ (all_4_18 = e2)
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | SIMP: (3351) implies:
% 73.60/10.84 | | | | | | | | | | | | | | (3352) ~ (all_4_18 = e2)
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | REDUCE: (635), (3348) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3353) op(e1, e2) = all_10_72
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13,
% 73.60/10.84 | | | | | | | | | | | | | | all_10_51, e2, e1, simplifying with (109), (3344)
% 73.60/10.84 | | | | | | | | | | | | | | gives:
% 73.60/10.84 | | | | | | | | | | | | | | (3354) all_10_51 = all_4_13
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 73.60/10.84 | | | | | | | | | | | | | | all_10_51, e2, e1, simplifying with (3344), (3353)
% 73.60/10.84 | | | | | | | | | | | | | | gives:
% 73.60/10.84 | | | | | | | | | | | | | | (3355) all_10_51 = all_10_72
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | COMBINE_EQS: (3354), (3355) imply:
% 73.60/10.84 | | | | | | | | | | | | | | (3356) all_10_72 = all_4_13
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | SIMP: (3356) implies:
% 73.60/10.84 | | | | | | | | | | | | | | (3357) all_10_72 = all_4_13
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.60/10.84 | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | (3358) all_6_16 = e0
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3358) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | (3359) all_4_8 = e0
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3359) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | (3360) all_8_13 = e0
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | REDUCE: (74), (3359) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | (3361) ~ (all_4_5 = e0)
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.60/10.84 | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | (3362) all_6_1 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3362) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | (3363) all_4_5 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | REDUCE: (3361), (3363) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | (3364) $false
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | CLOSE: (3364) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | (3365) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.60/10.84 | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | BETA: splitting (3365) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | (3366) all_6_1 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3366) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | (3367) all_4_5 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | REDUCE: (554), (3367) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | (3368) $false
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | CLOSE: (3368) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | (3369) ~ (all_6_1 = e4)
% 73.60/10.84 | | | | | | | | | | | | | | | | | (3370) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | (3371) all_8_1 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (432), (554), (3371) are inconsistent by sub-proof
% 73.60/10.84 | | | | | | | | | | | | | | | | | | #54.
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | (3372) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | all_8_21 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | BETA: splitting (3372) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | (3373) all_8_3 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3308), (3373) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | (3374) e4 = e2
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3374) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | (3375) $false
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | CLOSE: (3375) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | (3376) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (3376) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3377) all_8_7 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3377) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3378) all_4_7 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | SIMP: (3378) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3379) all_4_7 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3379) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3380) ~ (all_4_12 = e4)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | SIMP: (3380) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3381) ~ (all_4_12 = e4)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3379) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3382) ~ (all_4_17 = e4)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | SIMP: (3382) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | (3383) ~ (all_4_17 = e4)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3384) all_6_12 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (3384) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3385) all_4_12 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (3385) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3386) ~ (all_4_10 = e0)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (3385) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3387) ~ (all_4_17 = e0)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | SIMP: (3387) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3388) ~ (all_4_17 = e0)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3322), (3385) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | (3389) ~ (e3 = e0)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | (3390) all_6_0 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3390) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | (3391) all_4_0 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3391) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | (3392) all_4_0 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (3392) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | (3393) all_8_0 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3394) all_6_13 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (3394) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3395) all_4_17 = e0
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3388), (3395) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3396) $false
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3396) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3397) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (225), (439), (447), (464), (500), (548),
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (571), (572), (574), (578), (580), (3339), (3383),
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3393), (3397) are inconsistent by sub-proof #215.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | (3398) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3370) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3399) all_6_1 = e3
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (3399) are inconsistent by sub-proof
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | #163.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | (3400) all_6_1 = e2 | all_6_1 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3398) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_6_0 = e4
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (546), (3401) are inconsistent by sub-proof
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3402) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_6_0 = e3
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3403) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_4_0 = e3
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3404) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3405) all_4_0 = e3
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (3405) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3406) ~ (all_4_10 = e3)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3406) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (all_4_10 = e3)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3400) gives:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_6_1 = e2
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3408) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_4_5 = e2
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3310), (3409) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) $false
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3410) is inconsistent.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_6_1 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3411) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_4_5 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3412) imply:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) ~ (all_4_10 = e1)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3413) implies:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) ~ (all_4_10 = e1)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (488), (560), (561), (3386), (3407), (3414)
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #108.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_6_0 = e2 | all_6_0 = e1
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3324), (3326), (3415) are inconsistent by
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.60/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3416) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (3322), (3381), (3416) are
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #270.
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | (3417) all_8_13 = e4 | all_8_21 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3417) gives:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3418) all_8_13 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3360), (3418) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3419) e4 = e0
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (3419) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3420) $false
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3420) is inconsistent.
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3421) all_8_21 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (3421) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3422) e4 = e3
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (3422) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | (3423) $false
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3423) is inconsistent.
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | End of split
% 73.79/10.84 | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | Case 2:
% 73.79/10.84 | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | (3424) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 73.79/10.84 | | | | | | | | | | | | | | | all_6_16 = e1
% 73.79/10.84 | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | BETA: splitting (3424) gives:
% 73.79/10.84 | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | Case 1:
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | (3425) all_6_16 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3425) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3426) all_4_8 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3426) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3427) all_8_13 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3426) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3428) all_10_103 = e4
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | REDUCE: (64), (3426) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3429) ~ (all_4_7 = e4)
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | REDUCE: (57), (3426) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3430) ~ (all_4_18 = e4)
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | SIMP: (3430) implies:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3431) ~ (all_4_18 = e4)
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | REDUCE: (639), (3426) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3432) op(e1, e4) = all_10_60
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 73.79/10.84 | | | | | | | | | | | | | | | | all_10_60, e4, e1, simplifying with (3345), (3432)
% 73.79/10.84 | | | | | | | | | | | | | | | | gives:
% 73.79/10.84 | | | | | | | | | | | | | | | | (3433) all_10_60 = e2
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.79/10.84 | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3434) all_6_5 = e0
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3434) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3435) all_4_1 = e0
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | REDUCE: (101), (3435) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3436) ~ (all_4_0 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | REDUCE: (94), (3435) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3437) ~ (all_4_2 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | SIMP: (3437) implies:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3438) ~ (all_4_2 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | REDUCE: (90), (3435) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3439) ~ (all_4_11 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | SIMP: (3439) implies:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3440) ~ (all_4_11 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | REDUCE: (89), (3435) imply:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3441) ~ (all_4_16 = e0)
% 73.79/10.84 | | | | | | | | | | | | | | | | |
% 73.79/10.84 | | | | | | | | | | | | | | | | | SIMP: (3441) implies:
% 73.79/10.84 | | | | | | | | | | | | | | | | | (3442) ~ (all_4_16 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | (3443) all_6_0 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3443) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | (3444) all_4_0 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | REDUCE: (3436), (3444) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | (3445) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | CLOSE: (3445) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | (3446) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | BETA: splitting (3446) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | (3447) all_6_0 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3447) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | (3448) all_4_0 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | REDUCE: (546), (3448) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | (3449) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | CLOSE: (3449) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | (3450) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | (3451) all_6_8 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3451) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | (3452) all_4_16 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (3442), (3452) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | (3453) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | CLOSE: (3453) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | (3454) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3454) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | (3455) all_6_8 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3455) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | (3456) all_4_16 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (3456) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | (3457) ~ (all_4_11 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | (3458) all_8_4 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (561), (3458) are inconsistent by sub-proof
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | #53.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | (3459) ~ (all_8_4 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | (3460) all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3450) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | (3461) all_6_0 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3461) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | (3462) all_4_0 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (3462) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | (3463) ~ (all_4_5 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (3462) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | (3464) ~ (all_4_10 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3464) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | (3465) ~ (all_4_10 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_6_7 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3440), (3466) are inconsistent by
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3467) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3468) all_6_7 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3457), (3468) are inconsistent by
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3469) ~ (all_6_7 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_6_10 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3471) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_4_2 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3438), (3472) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3473) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) ~ (all_6_10 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_8_4 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (3476) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_4_10 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3477) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_4_10 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3465), (3478) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3479) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) ~ (all_8_4 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3460) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_8_5 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (3482) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_4_11 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3483) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_4_11 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3457), (3484) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3485) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3470) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_6_7 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (563), (3487) are inconsistent by sub-proof
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) ~ (all_6_7 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) all_6_7 = e2 | all_6_7 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3489) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_6_7 = e2
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (3490) are inconsistent by sub-proof
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #266.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) all_6_7 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (3491) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) all_4_11 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3492) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_4_11 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (3493) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_8_5 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3493) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) ~ (all_4_10 = e1)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (3493) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) ~ (all_4_12 = e1)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3493) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) ~ (e3 = e1)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (3493) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) op(e1, e2) = all_10_13
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3486) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) all_8_8 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3499) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_4_12 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3500) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_4_12 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (3501) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) ~ (all_4_13 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3502) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) ~ (all_4_13 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (3501) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) ~ (all_4_17 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3504) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) ~ (all_4_17 = e4)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3481) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_8_5 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3494), (3506) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) e3 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3507) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3508) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_6_2 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (3510) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_4_10 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3511) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) all_4_10 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (3512) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_10_91 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3512) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) ~ (all_4_5 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3512) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) ~ (all_4_13 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3515) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) ~ (all_4_13 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (3512) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) ~ (e4 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3512) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) ~ (e2 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_6_1 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3519) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_4_5 = e0
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3514), (3520) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3521) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) ~ (all_6_1 = e0)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3523) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_6_1 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3524) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) all_4_5 = e4
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3525) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3526) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3527) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_6_1 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3528) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_4_5 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (3529) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3530) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) all_6_1 = e2 | all_6_1 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3531) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) all_6_1 = e2
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3532) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_4_5 = e2
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3310), (3533) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) $false
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3534) is inconsistent.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_6_1 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3535) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_4_5 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (3536) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) op(e1, e4) = all_10_1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3509) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) all_8_8 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (3499), (3538) are inconsistent by
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #236.
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_8_14 = e3 | all_8_22 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_8_6 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3540) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_4_2 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3541) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) all_4_2 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (3542) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) all_10_98 = e1
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (3542) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) op(e1, e4) = all_10_19
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (3542) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) op(e1, e2) = all_10_18
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3539) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_8_14 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (3546) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_4_13 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3547) implies:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_4_13 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3503), (3548) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) ~ (e4 = e3)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (3548) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) op(e1, e2) = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_18,
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (3498), (3545)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_10_13 = all_10_18
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e1, simplifying with (3498), (3550)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) all_10_13 = e3
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_10_1,
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (3345), (3537) gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) all_10_1 = e2
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_19,
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e1, simplifying with (3537), (3544)
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) all_10_1 = all_10_19
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3553), (3554) imply:
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_10_19 = e2
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3555) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) all_10_19 = e2
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3551), (3552) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_10_18 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) ~ (all_10_19 = e2)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3556), (3558) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3559) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_10_18 = e4 | all_10_91 = all_10_98
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3560) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_10_18 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3557), (3561) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) e4 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (3562) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3563) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_10_91 = all_10_98
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3513), (3564) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_10_98 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3565) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_10_98 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3543), (3566) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) e1 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3567) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3568) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_8_22 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3569) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) e3 = e2
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3570) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3571) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) ~ (all_8_6 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (3572) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) ~ (all_4_2 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (29), (83), (157), (195), (374), (462), (478),
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491), (500), (549), (550), (571), (572), (577),
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (582), (583), (3339), (3427), (3475), (3505),
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516), (3573) are inconsistent by sub-proof #227.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (561), (3465), (3495), (3574) are
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #109.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) ~ (all_8_8 = e4)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (477), (3575) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) ~ (all_4_12 = e4)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (54), (158), (166), (488), (495), (560), (561),
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (564), (672), (3322), (3465), (3495), (3576) are
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | (3577) all_6_0 = e2 | all_6_0 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3324), (3326), (3577) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3578) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (3316), (3578) are
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | End of split
% 73.79/10.86 | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | (3579) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | BETA: splitting (3579) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | (3580) all_6_5 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3580) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | (3581) all_4_1 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | REDUCE: (547), (3581) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | (3582) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | CLOSE: (3582) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | (3583) ~ (all_6_5 = e4)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | (3584) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | (3585) all_6_5 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3585) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | (3586) all_4_1 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | REDUCE: (548), (3586) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | (3587) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | CLOSE: (3587) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | (3588) ~ (all_6_5 = e3)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | (3589) all_6_5 = e2 | all_6_5 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (3589) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3590) all_6_5 = e2
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3590) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3591) all_4_1 = e2
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3591) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3592) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | CLOSE: (3592) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3593) all_6_5 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3593) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3594) all_4_1 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3594) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3595) all_8_2 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (3594) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3596) ~ (all_4_2 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | SIMP: (3596) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3597) ~ (all_4_2 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (3594) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3598) ~ (all_4_11 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | SIMP: (3598) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3599) ~ (all_4_11 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (3594) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3600) ~ (all_4_16 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (3309), (3594) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | (3601) ~ (e2 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3602) all_8_4 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (3602) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3603) all_4_10 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (3603) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3604) all_4_10 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (3604) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3605) ~ (all_4_5 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (3604) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | (3606) ~ (all_4_13 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3607) all_6_1 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3607) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3608) all_4_5 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (427), (3608) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3609) all_10_90 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (98), (3608) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3610) ~ (all_4_0 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3608) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3611) ~ (all_4_7 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3611) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | (3612) ~ (all_4_7 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | (3613) all_6_11 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (3612), (3613) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | (3614) ~ (all_6_11 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | (3615) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3615) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | (3616) all_6_11 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (3429), (3616) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #240.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | (3617) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | (3618) all_8_6 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (3597), (3618) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #99.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_6_0 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3620) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_4_0 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3610), (3621) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3622) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) ~ (all_6_0 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3624) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_6_0 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3625) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) all_4_0 = e4
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (3626) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3627) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) all_8_7 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (3629) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) all_4_7 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3630) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_4_7 = e1
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3631) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) ~ (all_4_12 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3631) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) ~ (all_4_17 = e1)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) all_8_0 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (473), (3610), (3634) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) all_8_2 = e0 | all_8_6 = e0 | all_8_12 = e0 |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3635) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) all_8_2 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (3595), (3636) are inconsistent by
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3637) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_8_6 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3638) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_4_2 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3639) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_4_2 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (398), (3640) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) all_10_98 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (3640) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) ~ (all_4_12 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3642) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) ~ (all_4_12 = e0)
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_8_0 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (3644) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_4_0 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3645) implies:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_4_0 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (3646) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_10_110 = e3
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_6_12 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (3648) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_4_12 = e0
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3643), (3649) imply:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) $false
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3650) is inconsistent.
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.79/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_8_6 = e3
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3638), (3652) imply:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) e3 = e0
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3653) imply:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) $false
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3654) is inconsistent.
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e3
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3655) gives:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_8_7 = e3
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3629), (3656) imply:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) e3 = e1
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3657) imply:
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) $false
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3658) is inconsistent.
% 73.88/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3659) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_8_8 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3660) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_4_12 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3661) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_4_12 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3322), (3662) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3663) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_8_11 = e3 | all_8_18 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3664) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_8_11 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (3665) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_4_17 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3666) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_4_17 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (3667) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) all_10_100 = e3
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (3667) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) ~ (all_4_18 = e3)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3669) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) ~ (all_4_18 = e3)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_6_18 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (3671) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_4_18 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (3672) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_10_113 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (3672) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) ~ (all_4_16 = e0)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_6_8 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3674), (3675) are inconsistent by
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #210.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3651) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_6_12 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (3677) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_4_12 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3678) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_4_12 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3679) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_10_112 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (3679) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) ~ (all_4_11 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_6_7 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (3682) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_4_11 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3683) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_4_11 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (3684) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_10_95 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3599), (3684) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) ~ (e1 = e0)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1)) | (all_10_96 =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & unit = e1) | (all_10_97 = e1 & ( ~
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e0) | unit = e1)) | (all_10_98 =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ( ~ (all_10_100 = e4) | unit = e1)) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3688) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) (all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_91 = e1 & ( ~ (all_10_92 = e2)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_92 = e1 & unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3689) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_10_90 = e1 & ( ~ (all_10_92 = e3) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3690) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_10_90 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3609), (3691) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3692) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3693) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) (all_10_91 = e1 & ( ~ (all_10_92 = e2) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_92 = e1 & unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3694) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_10_91 = e1 & ( ~ (all_10_92 = e2) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3695) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) ~ (all_10_92 = e2) | unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3696) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) ~ (all_10_92 = e2)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3349), (3697) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3698) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3699) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3700) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3701) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_10_92 = e1 & unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3702) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3703) are inconsistent by sub-proof
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) (all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_94 = e1 & ( ~ (all_10_96 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_95 = e1 & ( ~
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_96 = e2) | unit = e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3704) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_10_93 = e1 & ( ~ (all_10_92 = e0) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3705) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_10_93 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3706) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) e4 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3707) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) e4 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3708) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3709) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) (all_10_94 = e1 & ( ~ (all_10_96 = e4) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_95 = e1 & ( ~ (all_10_96 = e2)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_10_94 = e1 & ( ~ (all_10_96 = e4) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3711) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) ~ (all_10_96 = e4) | unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_8_9 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3346), (3713) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) e4 = e2
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (3714) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3715) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3716) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_8_10 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (3717) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_4_16 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3718) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_4_16 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (3719) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_10_96 = e4
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3712) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) ~ (all_10_96 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3720), (3721) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3722) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3723) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3724) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3725) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_8_10 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (3726) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) ~ (all_4_16 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (3316), (3676), (3727) are
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_10_95 = e1 & ( ~ (all_10_96 = e2) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3728) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_10_95 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3685), (3729) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3730) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3731) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) (all_10_96 = e1 & unit = e1) | (all_10_97 = e1 & (
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_96 = e0) | unit = e1)) | (all_10_98
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_100 = e4) | unit = e1)) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3732) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) (all_10_96 = e1 & unit = e1) | (all_10_97 = e1 & (
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_96 = e0) | unit = e1)) | (all_10_98
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_100 = e4) | unit = e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3733) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_10_96 = e1 & unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3734) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) unit = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3735) are inconsistent by sub-proof
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) (all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_98 = e1 & ( ~ (all_10_100 = e4)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3736) gives:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit = e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (579), (3737) are inconsistent by sub-proof
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #117.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_10_98 = e1 & ( ~ (all_10_100 = e4) | unit =
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3738) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_10_98 = e1
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3641), (3739) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3740) implies:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) e1 = e0
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3741) imply:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) $false
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3742) is inconsistent.
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) (all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_100 = e1 & unit = e1) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3743) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_10_99 = e1 & ( ~ (all_10_100 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3744) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) ~ (all_10_100 = e3) | unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3745) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) ~ (all_10_100 = e3)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3746) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3747) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (3748) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) e1 = e0
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3749) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3750) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) (all_10_100 = e1 & unit = e1) | (all_10_101 = e1 &
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_100 = e0) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3751) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_10_100 = e1 & unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3752) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3753) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (545), (581), (3754) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #116.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1)) | (all_10_105
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_113 = e0) | unit = e1)) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_108 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e2) | unit = e1)) | (all_10_109
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & unit = e1) | (all_10_110 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e4) | unit = e1)) | (all_10_111 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ( ~ (all_10_96 = e3) | unit = e1)) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1 & ( ~ (all_10_100 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_113 = e1 & unit = e1) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1 & ( ~ (all_10_109 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3755) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1)) | (all_10_105
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & ( ~ (all_10_113 = e0) | unit = e1)) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3756) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) (all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_103 = e1 & ( ~ (all_10_113 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1)) | (all_10_104 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3757) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_10_102 = e1 & ( ~ (all_10_113 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3758) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_10_102 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3342), (3759) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) e2 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (3760) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3761) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) (all_10_103 = e1 & ( ~ (all_10_113 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_104 = e1 & ( ~ (all_10_113 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3762) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_10_103 = e1 & ( ~ (all_10_113 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3763) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_10_103 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3428), (3764) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) e4 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3765) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3766) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_10_104 = e1 & ( ~ (all_10_113 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3767) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_10_104 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (3768) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_4_13 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3769) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3770) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) (all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_106 = e1 & ( ~ (all_10_109 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e1)) | (all_10_107 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e3) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3771) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3673), (3772) are inconsistent by
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) (all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_107 = e1 & ( ~ (all_10_109 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3773) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_10_106 = e1 & ( ~ (all_10_109 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3774) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_10_106 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3775) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) e4 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3776) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3777) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_10_107 = e1 & ( ~ (all_10_109 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (362), (579), (3778) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) (all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_109 = e1 & unit = e1) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_111 = e1 & ( ~ (all_10_96 = e3)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1)) | (all_10_112 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e2) | unit = e1)) | (all_10_113
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1 & unit = e1) | (all_10_114 = e1 & ( ~
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_109 = e0) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3779) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) (all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_109 = e1 & unit = e1) |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3780) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (543), (581), (3781) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) (all_10_109 = e1 & unit = e1) | (all_10_110 = e1 &
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_92 = e4) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3782) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_10_109 = e1 & unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3783) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3784) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #121.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_10_110 = e1 & ( ~ (all_10_92 = e4) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3785) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_10_110 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3647), (3786) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) e3 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3787) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3788) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) (all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_112 = e1 & ( ~ (all_10_100 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1)) | (all_10_113 = e1 & unit
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1) | (all_10_114 = e1 & ( ~ (all_10_109 = e0)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3789) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) (all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)) | (all_10_112 = e1 & ( ~ (all_10_100 =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3790) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_10_111 = e1 & ( ~ (all_10_96 = e3) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3791) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_10_111 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3306), (3792) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) e2 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (3793) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3794) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_10_112 = e1 & ( ~ (all_10_100 = e2) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3795) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_10_112 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3680), (3796) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) e4 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (3797) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3798) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) (all_10_113 = e1 & unit = e1) | (all_10_114 = e1 &
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_109 = e0) | unit = e1))
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3799) gives:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_10_113 = e1 & unit = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (583), (3800) are inconsistent by sub-proof
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_10_114 = e1 & ( ~ (all_10_109 = e0) | unit =
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1)
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3801) implies:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_10_114 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (3802) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) e1 = e0
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3803) imply:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) $false
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3804) is inconsistent.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (3599), (3681), (3805) are
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (3322), (3806) are
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (3352), (3431), (3670), (3807) are
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_8_18 = e3
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (3808) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) e3 = e2
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3809) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) $false
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3810) is inconsistent.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) ~ (all_8_0 = e3)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (3811) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) ~ (all_4_0 = e3)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3324), (3326), (3628), (3812) are
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) ~ (all_8_6 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (3813) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) ~ (all_4_2 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_6_10 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3814), (3815) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #237.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3628) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_6_0 = e3
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3817) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_4_0 = e3
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3818) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_4_0 = e3
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (3819) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) ~ (all_4_2 = e3)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3820) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) ~ (all_4_2 = e3)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (486), (491), (547), (548), (549), (550),
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309), (3579), (3816), (3821) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_6_0 = e2 | all_6_0 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3324), (3326), (3822) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) ~ (all_8_7 = e1)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (3823) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) ~ (all_4_7 = e1)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3617) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_6_11 = e3
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (3825) are inconsistent by sub-proof
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_6_11 = e2 | all_6_11 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (557), (3824), (3826) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | (3827) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (554), (3310), (3605), (3827) are
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | (3828) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | all_8_22 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (442), (477), (542), (566), (581), (672),
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | | (3599), (3828) are inconsistent by sub-proof #170.
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | (3829) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (3313), (3829) are
% 73.88/10.89 | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | (3830) ~ (all_8_9 = e2)
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | REDUCE: (435), (3830) imply:
% 73.88/10.89 | | | | | | | | | | | | | | (3831) ~ (all_4_15 = e2)
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | BETA: splitting (3333) gives:
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | (3832) all_8_1 = e2
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REF_CLOSE: (432), (3310), (3832) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | sub-proof #130.
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | (3833) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | BETA: splitting (3833) gives:
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | (3834) all_8_4 = e2
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REF_CLOSE: (433), (560), (3834) are inconsistent by sub-proof
% 73.88/10.89 | | | | | | | | | | | | | | | | #189.
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | (3835) all_8_9 = e2 | all_8_16 = e2
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | BETA: splitting (3835) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3836) all_8_9 = e2
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3831), (3836) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | | | | | | sub-proof #167.
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3837) all_8_16 = e2
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (575), (3837) are inconsistent by sub-proof
% 73.88/10.89 | | | | | | | | | | | | | | | | | #166.
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | (3838) all_8_20 = e2
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | REF_CLOSE: (464), (575), (3838) are inconsistent by sub-proof
% 73.88/10.89 | | | | | | | | | | | | | #137.
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | End of split
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | End of split
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | (3839) all_10_110 = e2
% 73.88/10.89 | | | | | | | | (3840) ~ (all_10_112 = e4) | all_10_98 = e2
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | COMBINE_EQS: (430), (3839) imply:
% 73.88/10.89 | | | | | | | | (3841) all_4_0 = e2
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | COMBINE_EQS: (473), (3841) imply:
% 73.88/10.89 | | | | | | | | (3842) all_8_0 = e2
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (101), (3841) imply:
% 73.88/10.89 | | | | | | | | (3843) ~ (all_4_1 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (100), (3841) imply:
% 73.88/10.89 | | | | | | | | (3844) ~ (all_4_2 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (99), (3841) imply:
% 73.88/10.89 | | | | | | | | (3845) ~ (all_4_3 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | SIMP: (3845) implies:
% 73.88/10.89 | | | | | | | | (3846) ~ (all_4_3 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (98), (3841) imply:
% 73.88/10.89 | | | | | | | | (3847) ~ (all_4_5 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (97), (3841) imply:
% 73.88/10.89 | | | | | | | | (3848) ~ (all_4_10 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (96), (3841) imply:
% 73.88/10.89 | | | | | | | | (3849) ~ (all_4_15 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | SIMP: (3849) implies:
% 73.88/10.89 | | | | | | | | (3850) ~ (all_4_15 = e2)
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | REDUCE: (612), (3841) imply:
% 73.88/10.89 | | | | | | | | (3851) op(e2, e4) = all_10_0
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | BETA: splitting (196) gives:
% 73.88/10.89 | | | | | | | |
% 73.88/10.89 | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | (3852) all_8_12 = e2
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | COMBINE_EQS: (456), (3852) imply:
% 73.88/10.89 | | | | | | | | | (3853) all_4_3 = e2
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | SIMP: (3853) implies:
% 73.88/10.89 | | | | | | | | | (3854) all_4_3 = e2
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | REDUCE: (3846), (3854) imply:
% 73.88/10.89 | | | | | | | | | (3855) $false
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | CLOSE: (3855) is inconsistent.
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | (3856) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 73.88/10.89 | | | | | | | | | all_8_19 = e2
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | BETA: splitting (3840) gives:
% 73.88/10.89 | | | | | | | | |
% 73.88/10.89 | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | (3857) ~ (all_10_112 = e4)
% 73.88/10.89 | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | REDUCE: (392), (3857) imply:
% 73.88/10.89 | | | | | | | | | | (3858) ~ (all_4_12 = e4)
% 73.88/10.89 | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | BETA: splitting (200) gives:
% 73.88/10.89 | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | (3859) all_8_9 = e2
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | REF_CLOSE: (435), (3850), (3859) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | sub-proof #167.
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | (3860) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 73.88/10.89 | | | | | | | | | | | all_8_23 = e2
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | BETA: splitting (3860) gives:
% 73.88/10.89 | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | (3861) all_8_10 = e2
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | REF_CLOSE: (444), (3316), (3861) are inconsistent by
% 73.88/10.89 | | | | | | | | | | | | sub-proof #49.
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | (3862) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | BETA: splitting (3862) gives:
% 73.88/10.89 | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | (3863) all_8_11 = e2
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | REF_CLOSE: (452), (572), (3863) are inconsistent by sub-proof
% 73.88/10.89 | | | | | | | | | | | | | #48.
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | (3864) all_8_15 = e2 | all_8_23 = e2
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | BETA: splitting (3864) gives:
% 73.88/10.89 | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | (3865) all_8_15 = e2
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | COMBINE_EQS: (478), (3865) imply:
% 73.88/10.89 | | | | | | | | | | | | | | (3866) all_4_18 = e2
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | SIMP: (3866) implies:
% 73.88/10.89 | | | | | | | | | | | | | | (3867) all_4_18 = e2
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | COMBINE_EQS: (669), (3867) imply:
% 73.88/10.89 | | | | | | | | | | | | | | (3868) all_10_88 = e2
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | REDUCE: (614), (3867) imply:
% 73.88/10.89 | | | | | | | | | | | | | | (3869) op(e2, e1) = all_10_33
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 73.88/10.89 | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | (3870) all_6_12 = e0
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | COMBINE_EQS: (495), (3870) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3871) all_4_12 = e0
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | SIMP: (3871) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | (3872) all_4_12 = e0
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (62), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3873) ~ (all_4_7 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (54), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3874) ~ (all_4_10 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (49), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3875) ~ (all_4_11 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (44), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3876) ~ (all_4_13 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | SIMP: (3876) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | (3877) ~ (all_4_13 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (43), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3878) ~ (all_4_17 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | SIMP: (3878) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | (3879) ~ (all_4_17 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (3858), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3880) ~ (e4 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (3322), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3881) ~ (e3 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (564), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3882) ~ (e2 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | REDUCE: (672), (3872) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | (3883) ~ (e1 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17,
% 73.88/10.89 | | | | | | | | | | | | | | | all_10_33, e1, e2, simplifying with (113), (3869)
% 73.88/10.89 | | | | | | | | | | | | | | | gives:
% 73.88/10.89 | | | | | | | | | | | | | | | (3884) all_10_33 = all_4_17
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_2,
% 73.88/10.89 | | | | | | | | | | | | | | | all_10_0, e4, e2, simplifying with (116), (3851)
% 73.88/10.89 | | | | | | | | | | | | | | | gives:
% 73.88/10.89 | | | | | | | | | | | | | | | (3885) all_10_0 = all_4_2
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | BETA: splitting (167) gives:
% 73.88/10.89 | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | (3886) all_6_1 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (3886) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3887) all_4_5 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | SIMP: (3887) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3888) all_4_5 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REDUCE: (75), (3888) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3889) ~ (all_4_7 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REDUCE: (74), (3888) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3890) ~ (all_4_8 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | SIMP: (3890) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3891) ~ (all_4_8 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REDUCE: (71), (3888) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3892) ~ (all_4_15 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | SIMP: (3892) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3893) ~ (all_4_15 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | REDUCE: (125), (3888) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | (3894) op(e4, e3) = e0
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3895) all_6_16 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3895) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3896) all_4_8 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | REDUCE: (3891), (3896) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3897) $false
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | CLOSE: (3897) is inconsistent.
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3898) ~ (all_6_16 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | | | (3899) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 73.88/10.89 | | | | | | | | | | | | | | | | | all_6_16 = e1
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3900) all_8_12 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (3900) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3901) all_4_3 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | SIMP: (3901) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3902) all_4_3 = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (93), (3902) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3903) ~ (all_4_1 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (87), (3902) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3904) ~ (all_4_2 = e0)
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (111), (3902) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | (3905) op(e1, e4) = e0
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | BETA: splitting (3899) gives:
% 73.88/10.89 | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | (3906) all_6_16 = e4
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3906) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | (3907) all_4_8 = e4
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | SIMP: (3907) implies:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | (3908) all_4_8 = e4
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (3908) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | (3909) all_8_13 = e4
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | REDUCE: (64), (3908) imply:
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | (3910) ~ (all_4_7 = e4)
% 73.88/10.89 | | | | | | | | | | | | | | | | | | |
% 73.88/10.89 | | | | | | | | | | | | | | | | | | | REDUCE: (605), (3908) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | (3911) op(e4, e3) = all_10_30
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | REDUCE: (606), (3908) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | (3912) op(e4, e1) = all_10_29
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | REDUCE: (628), (3908) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | (3913) op(e3, e4) = all_10_59
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | REDUCE: (639), (3908) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | (3914) op(e1, e4) = all_10_60
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3908) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | (3915) op(e1, e3) = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | (3916) all_6_11 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (3873), (3916) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | (3917) ~ (all_6_11 = e0)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | (3918) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3918) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | (3919) all_6_11 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (3910), (3919) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | sub-proof #240.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | (3920) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | (3921) all_6_17 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3921) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | (3922) all_4_13 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3877), (3922) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | (3923) $false
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3923) is inconsistent.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | (3924) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | (3925) all_6_5 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (3903), (3925) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | (3926) ~ (all_6_5 = e0)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | (3927) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_8_2 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (3903), (3928) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #187.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3920) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_6_11 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (3930) are inconsistent by sub-proof
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (3931) all_6_11 = e2 | all_6_11 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) all_8_0 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3842), (3932) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) e3 = e2
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3933) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) $false
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3934) is inconsistent.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3935) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) all_8_2 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (548), (3936) are inconsistent by sub-proof
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | #219.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) ~ (all_8_2 = e3)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3938) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) all_8_6 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (3939) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) all_4_2 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3940) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) all_4_2 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (3941) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) ~ (all_4_17 = e3)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3942) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) ~ (all_4_17 = e3)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (3941) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) op(e3, e4) = all_10_19
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (3941) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) op(e4, e3) = all_10_48
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (3941) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) op(e2, e4) = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) all_6_13 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (3879), (3947) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #183.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) all_8_9 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (3893), (3949) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) ~ (all_8_9 = e0)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) all_6_3 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (3893), (3952) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3927) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_6_5 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (3954) are inconsistent by sub-proof
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3929) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_8_3 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3308), (3956) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) e2 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (3957) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_8_15 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (581), (582), (3864), (3958) are
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3959) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) all_8_5 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (3875), (3960) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) ~ (all_8_5 = e0)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) all_8_10 = e0 | all_8_17 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3955) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) all_6_5 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (3963) are inconsistent by sub-proof
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) all_6_5 = e2 | all_6_5 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) all_8_0 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (581), (3842), (3965) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3966) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_8_2 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3967) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) all_4_1 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3968) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_4_1 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) ~ (all_4_11 = e1)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3970) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) ~ (all_4_11 = e1)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) op(e1, e4) = all_10_10
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) op(e1, e3) = all_10_9
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) op(e4, e1) = all_10_46
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) op(e3, e1) = all_10_47
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (3969) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) op(e3, e4) = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_6_7 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3875), (3977) are inconsistent by
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3951) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) all_8_10 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (3979) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) all_4_16 = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (3980) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) op(e3, e1) = e0
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3978) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_6_7 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (3982) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_4_11 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3983) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) all_4_11 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (3984) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) ~ (all_4_13 = e4)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3985) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) ~ (all_4_13 = e4)
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (3984) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) op(e4, e3) = all_10_12
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (3984) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) op(e3, e4) = all_10_66
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (3984) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) op(e2, e4) = all_10_65
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3953) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) all_6_3 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (568), (3990) are inconsistent by sub-proof
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3924) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) all_6_17 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (3992) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) all_4_13 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3986), (3993) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) $false
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3994) is inconsistent.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3948) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) all_6_13 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (3996) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) all_4_17 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3997) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_4_17 = e4
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (3998) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) op(e4, e1) = all_10_24
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3995) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_6_17 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4000) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_4_13 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (4001) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) all_8_14 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (4001) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) op(e3, e1) = all_10_31
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (4001) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) op(e1, e3) = all_10_69
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_8_6 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3939), (4005) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) e3 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (4006) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) $false
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4007) is inconsistent.
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3991) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) all_6_3 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4009) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) all_4_15 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4010) implies:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) all_4_15 = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4011) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) op(e3, e4) = all_10_5
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (4011) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) op(e4, e3) = all_10_73
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4011) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) op(e4, e1) = e3
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (4011) imply:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) op(e1, e3) = all_10_72
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4008) gives:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) all_8_7 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (4016) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) all_4_7 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (4017) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) ~ (e2 = e1)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (4017) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) op(e1, e3) = all_10_21
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e3, e1, simplifying with (4004), (4015)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_10_69 = all_10_72
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_69,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e1, simplifying with (4004), (4019)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_10_21 = all_10_69
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_21,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e1, simplifying with (3973), (4019)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) all_10_9 = all_10_21
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_9,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (3915), (3973) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_10_9 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_60,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (3914), (3972)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_10_10 = all_10_60
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e1, simplifying with (3905), (3972)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_10_10 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_65, e4, e2, simplifying with (3946), (3989)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_10_65 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_31, e1, e3, simplifying with (3975), (4003)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_10_31 = all_10_47
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_31, e1, e3, simplifying with (3981), (4003)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_10_31 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_19,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e3, simplifying with (3944), (4012)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) all_10_5 = all_10_19
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_59,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e3, simplifying with (3913), (4012)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) all_10_5 = all_10_59
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_66,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e3, simplifying with (3988), (4012)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_10_5 = all_10_66
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_5,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (3976), (4012) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_10_5 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_29,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (3912), (3999)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_10_24 = all_10_29
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (3974), (3999)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) all_10_24 = all_10_46
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (3999), (4014)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) all_10_24 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_48, e3, e4, simplifying with (3894), (3945)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) all_10_48 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e3, e4, simplifying with (3911), (3945)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_10_30 = all_10_48
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e4, simplifying with (3911), (3987)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_10_12 = all_10_30
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_73,
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e4, simplifying with (3987), (4013)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_10_12 = all_10_73
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4032) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_10_19 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4031) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_10_19 = all_10_66
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4029), (4030) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_10_19 = all_10_59
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4022), (4023) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) all_10_21 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4043) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) all_10_21 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4024), (4025) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_10_60 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4045) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_10_60 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4038), (4039) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) all_10_30 = all_10_73
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4047) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_10_30 = all_10_73
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4040), (4042) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) all_10_59 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4041), (4042) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) all_10_59 = all_10_66
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4021), (4044) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) all_10_69 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4051) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_10_69 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4033), (4034) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_10_29 = all_10_46
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4033), (4035) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) all_10_29 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4053), (4054) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_10_46 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4055) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_10_46 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4037), (4048) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_10_48 = all_10_73
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4057) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_10_48 = all_10_73
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4027), (4028) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) all_10_47 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4059) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) all_10_47 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4036), (4058) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) all_10_73 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4049), (4050) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_10_66 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4062) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_10_66 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4020), (4052) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_10_72 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4064) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_10_72 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4066) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4067) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) ~ (all_10_46 = e3) | all_10_47 = e4
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (4056), (4060), (4068) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4069) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) ~ (all_10_59 = e1) | all_10_60 = e3
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (4046), (4049), (4070) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #182.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4071) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4072) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) ~ (all_10_65 = e3) | all_10_66 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4073) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) ~ (all_10_65 = e3)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4026), (4074) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) $false
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4075) is inconsistent.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_10_66 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4063), (4076) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) e2 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4077) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) e2 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (4078) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) $false
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4079) is inconsistent.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4080) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4081) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) ~ (all_10_72 = e4) | all_10_73 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4061), (4065), (4082) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #146.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4083) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) ~ (all_10_87 = e1) | all_10_88 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4084) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) ~ (all_10_87 = e1)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (4085) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) $false
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4086) is inconsistent.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_10_88 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3868), (4087) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) e2 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4088) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) e2 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (4089) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_8_15 = e0
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3856) gives:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_8_13 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3909), (4091) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) e4 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4092) implies:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) e4 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4093) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) $false
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4094) is inconsistent.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (578), (581), (582), (4002), (4090), (4095)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #43.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) ~ (all_8_7 = e1)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (4096) imply:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) ~ (all_4_7 = e1)
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (557), (3931), (4097) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_6_3 = e2 | all_6_3 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (3850), (4098) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_6_17 = e2 | all_6_17 = e1
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (4099) are inconsistent by
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175.
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (3943), (4100) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #232.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (3971), (4101) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) ~ (all_8_10 = e0)
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (4102) imply:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) ~ (all_4_16 = e0)
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (446), (580), (3962), (4103) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) ~ (all_8_2 = e1)
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (486), (3309), (3964), (4104) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #122.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) ~ (all_8_6 = e3)
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (4105) imply:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) ~ (all_4_2 = e3)
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (94), (160), (486), (491), (547), (548), (549),
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (550), (3309), (3904), (3927), (4106) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #105.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | (4107) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (3313), (4107) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4108) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | all_8_19 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (458), (462), (541), (581), (582), (583),
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (3864), (3877), (3891), (4108) are inconsistent by
% 73.88/10.92 | | | | | | | | | | | | | | | | | | sub-proof #41.
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | End of split
% 73.88/10.92 | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | (4109) ~ (all_6_1 = e0)
% 73.88/10.92 | | | | | | | | | | | | | | | | (4110) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 73.88/10.92 | | | | | | | | | | | | | | | | all_6_1 = e1
% 73.88/10.92 | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | REDUCE: (485), (4109) imply:
% 73.88/10.92 | | | | | | | | | | | | | | | | (4111) ~ (all_4_5 = e0)
% 73.88/10.92 | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | BETA: splitting (4110) gives:
% 73.88/10.92 | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | (4112) all_6_1 = e4
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (554), (4112) are inconsistent by sub-proof
% 73.88/10.92 | | | | | | | | | | | | | | | | | #164.
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | (4113) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 73.88/10.92 | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4114) all_8_0 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3842), (4114) imply:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4115) e2 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | SIMP: (4115) implies:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4116) e2 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (4116) imply:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4117) all_8_15 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (581), (582), (3864), (4117) are
% 73.88/10.92 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | (4118) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | BETA: splitting (4118) gives:
% 73.88/10.92 | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | (4119) all_8_1 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (432), (4111), (4119) are inconsistent by
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | (4120) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (4120) gives:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | (4121) all_8_4 = e0
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (3874), (4121) are inconsistent by
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | | sub-proof #185.
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | |
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.88/10.92 | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | (4122) all_8_9 = e0 | all_8_16 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4122) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4123) all_8_9 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4123) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4124) all_4_15 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (4124) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4125) all_4_15 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4125) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4126) ~ (all_4_16 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | SIMP: (4126) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4127) ~ (all_4_16 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (4125) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | (4128) op(e4, e1) = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | (4129) all_6_8 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (4127), (4129) are inconsistent by
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | sub-proof #210.
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | (4130) ~ (all_6_8 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | (4131) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4131) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4132) all_6_8 = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4132) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4133) all_4_16 = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4133) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4134) all_4_16 = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4135) all_8_10 = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4136) ~ (all_4_11 = e4)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4137) ~ (all_4_17 = e4)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4137) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4138) ~ (all_4_17 = e4)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4139) op(e4, e3) = all_10_14
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4140) op(e4, e1) = all_10_15
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4141) op(e3, e4) = all_10_75
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4142) op(e3, e1) = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (4134) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | (4143) op(e1, e4) = all_10_74
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_6_13 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (4144) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_4_17 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3879), (4145) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (4146) $false
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4146) is inconsistent.
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_6_7 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (3875), (4148) are inconsistent by
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4149) ~ (all_6_7 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_8_2 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (4151) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_4_1 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4152) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) all_4_1 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (4153) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) ~ (all_4_2 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4154) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) ~ (all_4_2 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (4153) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) ~ (all_4_3 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4156) implies:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) ~ (all_4_3 = e0)
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (4153) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) op(e3, e4) = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_6_15 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4159) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_4_3 = e0
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4157), (4160) imply:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) $false
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4161) is inconsistent.
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) all_6_7 = e4
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (4136), (4163) are inconsistent by
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200.
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_8_1 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (432), (4111), (4165) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #194.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4166) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_8_3 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (541), (572), (575), (581), (582), (3308),
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860), (3865), (4135), (4167) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4168) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_8_7 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (3873), (4169) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_8_13 = e0 | all_8_21 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_8_13 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (4171) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_4_8 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4172) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_4_8 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (4173) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) op(e1, e3) = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4147) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) all_6_13 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (4175) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_4_17 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4176) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_4_17 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4138), (4177) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) $false
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4178) is inconsistent.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4179) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_6_13 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (4180) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_4_17 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4181) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_4_17 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (4182) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) op(e3, e1) = all_10_24
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4182) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) op(e2, e1) = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (4182) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) op(e1, e3) = all_10_76
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_6_10 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (4155), (4186) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #237.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) ~ (all_6_10 = e0)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_10 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_8_6 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (549), (4189) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4190) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_8_7 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (4191) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_4_7 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4192) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_4_7 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (599), (4193) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) op(e4, e3) = all_10_21
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (627), (4193) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) op(e3, e4) = all_10_57
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4164) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_6_7 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (563), (4196) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_6_7 = e2 | all_6_7 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4197) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_6_7 = e2
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (4198) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #266.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_6_7 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (4199) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) all_4_11 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4200) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_4_11 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4201) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) ~ (all_4_13 = e1)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (4201) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) ~ (e2 = e1)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (4201) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) op(e1, e3) = all_10_12
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (4201) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) op(e3, e1) = all_10_66
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (4201) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) op(e2, e1) = all_10_65
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_6_2 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (3874), (4207) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #123.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) ~ (all_6_2 = e0)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_8_0 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (581), (3842), (4210) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4211) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_8_1 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (4212) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_4_5 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4213) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_4_5 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) ~ (all_4_10 = e1)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4215) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) ~ (all_4_10 = e1)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) op(e1, e4) = all_10_1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) op(e1, e3) = all_10_2
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) op(e4, e1) = all_10_55
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) op(e4, e3) = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (4214) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) op(e3, e1) = all_10_54
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4162) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_6_15 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (4222) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4223) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_6_15 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4224) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_4_3 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4225) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) all_4_3 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) ~ (all_4_2 = e3)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) op(e3, e4) = all_10_28
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) op(e3, e1) = all_10_27
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) op(e4, e3) = all_10_50
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) op(e1, e3) = all_10_51
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (4226) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) op(e1, e4) = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4188) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_6_10 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (549), (4233) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #275.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4209) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_6_2 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (561), (4235) are inconsistent by sub-proof
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #188.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4236) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_6_2 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (4237) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_4_10 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4238) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_4_10 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (4239) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) ~ (all_4_13 = e3)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4240) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) ~ (all_4_13 = e3)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (4239) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) op(e3, e4) = all_10_3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (616), (4239) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) op(e4, e3) = all_10_64
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_6_17 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4244) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_4_13 = e0
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3877), (4245) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) $false
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4246) is inconsistent.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) ~ (all_6_17 = e0)
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4248) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_6_17 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4249) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_4_13 = e4
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (4250) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) op(e4, e1) = all_10_31
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (4250) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) op(e1, e4) = all_10_69
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4234) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_6_10 = e3
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (4227), (4253) are inconsistent by
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #133.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_6_10 = e2 | all_6_10 = e1
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4254) gives:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_6_10 = e2
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4255) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_4_2 = e2
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4256) implies:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_4_2 = e2
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (550), (4257) imply:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) $false
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4258) is inconsistent.
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_6_10 = e1
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4259) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_4_2 = e1
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4260) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_4_2 = e1
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (4261) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) op(e1, e4) = all_10_19
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (4261) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) op(e4, e1) = all_10_48
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (4261) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) op(e2, e1) = all_10_49
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_76,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (4185), (4231)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_10_51 = all_10_76
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_51,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e1, simplifying with (4204), (4231)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_10_12 = all_10_51
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_12,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e3, e1, simplifying with (4204), (4218)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_10_2 = all_10_12
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_2,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (4174), (4218) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_10_2 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_69,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e4, e1, simplifying with (4252), (4262)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_10_19 = all_10_69
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e4, e1, simplifying with (4232), (4262)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_10_19 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_69,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e1, simplifying with (4217), (4252)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_10_1 = all_10_69
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_74,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e1, simplifying with (4143), (4217)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_10_1 = all_10_74
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_65,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_49, e1, e2, simplifying with (4206), (4264)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_10_49 = all_10_65
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_49, e1, e2, simplifying with (4184), (4264)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_10_49 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e3, simplifying with (4221), (4229)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_10_27 = all_10_54
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_27, e1, e3, simplifying with (4142), (4229)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_10_27 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e3, simplifying with (4183), (4221)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_10_24 = all_10_54
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_66,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e3, simplifying with (4183), (4205)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) all_10_24 = all_10_66
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_75,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_57, e4, e3, simplifying with (4141), (4195)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_10_57 = all_10_75
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_57,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e3, simplifying with (4195), (4228)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_10_28 = all_10_57
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e3, simplifying with (4228), (4242)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_10_3 = all_10_28
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_3,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (4158), (4242) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_10_3 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_48, e1, e4, simplifying with (4128), (4263)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_10_48 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_31,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (4140), (4251)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_10_15 = all_10_31
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (4140), (4263)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_10_15 = all_10_48
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_55,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (4140), (4219)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_10_15 = all_10_55
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_50, e3, e4, simplifying with (4220), (4230)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_10_50 = e1
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_50,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e4, simplifying with (4194), (4230)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_10_21 = all_10_50
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_21,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e4, simplifying with (4139), (4194)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) all_10_14 = all_10_21
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_64,
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e4, simplifying with (4139), (4243)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) all_10_14 = all_10_64
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4271), (4272) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_10_69 = all_10_74
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4291) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_10_69 = all_10_74
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4267), (4268) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_10_12 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4293) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_10_12 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4281), (4282) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_10_28 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4295) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_10_28 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4266), (4294) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_10_51 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4297) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_10_51 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4289), (4290) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_10_21 = all_10_64
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4299) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_10_21 = all_10_64
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4284), (4286) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_10_31 = all_10_55
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4284), (4285) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_10_31 = all_10_48
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4269), (4270) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_10_69 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4303) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_10_69 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4288), (4300) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_10_50 = all_10_64
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4305) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_10_50 = all_10_64
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4277), (4278) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) all_10_54 = all_10_66
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4307) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_10_54 = all_10_66
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4275), (4276) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_10_54 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4309) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_10_54 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4280), (4296) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_10_57 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4311) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_10_57 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4301), (4302) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_10_48 = all_10_55
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4313) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_10_48 = all_10_55
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4283), (4314) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_10_55 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4273), (4274) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_10_65 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4287), (4306) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_10_64 = e1
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4265), (4298) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_10_76 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4308), (4310) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_10_66 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4319) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_10_66 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4279), (4312) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_10_75 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4321) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_10_75 = e0
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4292), (4304) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_10_74 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4323) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_10_74 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4325) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4326) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) ~ (all_10_50 = e1) | all_10_51 = e4
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (4287), (4298), (4327) are inconsistent by
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139.
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4328) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) ~ (all_10_54 = e4) | all_10_55 = e3
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (4310), (4315), (4329) are inconsistent by
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4330) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4331) implies:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) ~ (all_10_65 = e3) | all_10_66 = e2
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4332) gives:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) ~ (all_10_65 = e3)
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4316), (4333) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) $false
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4334) is inconsistent.
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_10_66 = e2
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4320), (4335) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) e4 = e2
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4336) imply:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) $false
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4337) is inconsistent.
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4338) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4339) implies:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) ~ (all_10_74 = e3) | all_10_75 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4322), (4324), (4340) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #224.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4341) implies:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) ~ (all_10_87 = e1) | all_10_88 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4342) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) ~ (all_10_87 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (670), (4343) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) $false
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4344) is inconsistent.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_10_88 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3868), (4345) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) e2 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4346) implies:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) e2 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3865), (4347) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_8_15 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (541), (572), (575), (581), (582), (3860),
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135), (4348) are inconsistent by sub-proof #40.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (4241), (4349) are
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_6_2 = e2 | all_6_2 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (4216), (4350) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_6_15 = e2 | all_6_15 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (552), (3846), (4351) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) ~ (all_8_1 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (4352) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) ~ (all_4_5 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (3310), (4113), (4353) are
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) ~ (all_8_7 = e4)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (4354) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) ~ (all_4_7 = e4)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) all_6_11 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (3873), (4356) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4357) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_6_11 = e4
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (4355), (4358) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #240.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) all_6_11 = e3
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (4360) are inconsistent by sub-proof
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #256.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) all_6_11 = e2 | all_6_11 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_8_0 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (581), (3842), (4362) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4363) gives:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) all_8_1 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (432), (4364) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_4_5 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4365) implies:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_4_5 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (4366) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) ~ (all_4_7 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4367) implies:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) ~ (all_4_7 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (557), (4361), (4368) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #254.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) ~ (all_8_1 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (432), (4369) imply:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) ~ (all_4_5 = e1)
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (553), (3310), (4113), (4370) are
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #162.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_6_13 = e2 | all_6_13 = e1
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (4371) are inconsistent by
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #233.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_8_21 = e0
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (580), (4372) are inconsistent by sub-proof
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #160.
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.14/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4373) gives:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) all_8_3 = e0
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (541), (572), (575), (581), (582), (3308),
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860), (3865), (4135), (4374) are inconsistent by
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (444), (446), (580), (3875), (4127), (4375)
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #37.
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | (4376) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (3316), (4376) are
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | (4377) all_8_16 = e0
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (577), (4377) are inconsistent by sub-proof
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | | #74.
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | (4378) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 74.29/10.95 | | | | | | | | | | | | | | | all_6_12 = e1
% 74.29/10.95 | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | BETA: splitting (4378) gives:
% 74.29/10.95 | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | Case 1:
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | (4379) all_6_12 = e4
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | REF_CLOSE: (495), (3858), (4379) are inconsistent by
% 74.29/10.95 | | | | | | | | | | | | | | | | sub-proof #273.
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | (4380) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (3322), (4380) are
% 74.29/10.95 | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 74.29/10.95 | | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | (4381) all_8_23 = e2
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | COMBINE_EQS: (541), (4381) imply:
% 74.29/10.95 | | | | | | | | | | | | | | (4382) e2 = e1
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | REDUCE: (581), (4382) imply:
% 74.29/10.95 | | | | | | | | | | | | | | (4383) $false
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | | CLOSE: (4383) is inconsistent.
% 74.29/10.95 | | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | Case 2:
% 74.29/10.95 | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | (4384) all_10_98 = e2
% 74.29/10.95 | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | | REF_CLOSE: (398), (550), (4384) are inconsistent by sub-proof
% 74.29/10.95 | | | | | | | | | | #100.
% 74.29/10.95 | | | | | | | | | |
% 74.29/10.95 | | | | | | | | | End of split
% 74.29/10.95 | | | | | | | | |
% 74.29/10.95 | | | | | | | | End of split
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | End of split
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | Case 2:
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | (4385) all_10_110 = e1
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | COMBINE_EQS: (430), (4385) imply:
% 74.29/10.95 | | | | | | | (4386) all_4_0 = e1
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | REDUCE: (101), (4386) imply:
% 74.29/10.95 | | | | | | | (4387) ~ (all_4_1 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | SIMP: (4387) implies:
% 74.29/10.95 | | | | | | | (4388) ~ (all_4_1 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | REDUCE: (100), (4386) imply:
% 74.29/10.95 | | | | | | | (4389) ~ (all_4_2 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | SIMP: (4389) implies:
% 74.29/10.95 | | | | | | | (4390) ~ (all_4_2 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | REDUCE: (98), (4386) imply:
% 74.29/10.95 | | | | | | | (4391) ~ (all_4_5 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | SIMP: (4391) implies:
% 74.29/10.95 | | | | | | | (4392) ~ (all_4_5 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | REDUCE: (97), (4386) imply:
% 74.29/10.95 | | | | | | | (4393) ~ (all_4_10 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | SIMP: (4393) implies:
% 74.29/10.95 | | | | | | | (4394) ~ (all_4_10 = e1)
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | BETA: splitting (167) gives:
% 74.29/10.95 | | | | | | |
% 74.29/10.95 | | | | | | | Case 1:
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | (4395) all_6_1 = e0
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | COMBINE_EQS: (485), (4395) imply:
% 74.29/10.95 | | | | | | | | (4396) all_4_5 = e0
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | SIMP: (4396) implies:
% 74.29/10.95 | | | | | | | | (4397) all_4_5 = e0
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | COMBINE_EQS: (432), (4397) imply:
% 74.29/10.95 | | | | | | | | (4398) all_8_1 = e0
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | REDUCE: (75), (4397) imply:
% 74.29/10.95 | | | | | | | | (4399) ~ (all_4_7 = e0)
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | SIMP: (4399) implies:
% 74.29/10.95 | | | | | | | | (4400) ~ (all_4_7 = e0)
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | REDUCE: (74), (4397) imply:
% 74.29/10.95 | | | | | | | | (4401) ~ (all_4_8 = e0)
% 74.29/10.95 | | | | | | | |
% 74.29/10.95 | | | | | | | | SIMP: (4401) implies:
% 74.29/10.95 | | | | | | | | (4402) ~ (all_4_8 = e0)
% 74.29/10.95 | | | | | | | |
% 74.29/10.96 | | | | | | | | REDUCE: (72), (4397) imply:
% 74.29/10.96 | | | | | | | | (4403) ~ (all_4_10 = e0)
% 74.29/10.96 | | | | | | | |
% 74.29/10.96 | | | | | | | | SIMP: (4403) implies:
% 74.29/10.96 | | | | | | | | (4404) ~ (all_4_10 = e0)
% 74.29/10.96 | | | | | | | |
% 74.29/10.96 | | | | | | | | REDUCE: (71), (4397) imply:
% 74.29/10.96 | | | | | | | | (4405) ~ (all_4_15 = e0)
% 74.29/10.96 | | | | | | | |
% 74.29/10.96 | | | | | | | | SIMP: (4405) implies:
% 74.29/10.96 | | | | | | | | (4406) ~ (all_4_15 = e0)
% 74.29/10.96 | | | | | | | |
% 74.29/10.96 | | | | | | | | BETA: splitting (166) gives:
% 74.29/10.96 | | | | | | | |
% 74.29/10.96 | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | | (4407) all_6_2 = e0
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | | REF_CLOSE: (488), (4404), (4407) are inconsistent by sub-proof
% 74.29/10.96 | | | | | | | | | #123.
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | | (4408) ~ (all_6_2 = e0)
% 74.29/10.96 | | | | | | | | | (4409) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2
% 74.29/10.96 | | | | | | | | | = e1
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | | BETA: splitting (4409) gives:
% 74.29/10.96 | | | | | | | | |
% 74.29/10.96 | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | (4410) all_6_2 = e4
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | REF_CLOSE: (488), (561), (4410) are inconsistent by sub-proof
% 74.29/10.96 | | | | | | | | | | #188.
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | (4411) ~ (all_6_2 = e4)
% 74.29/10.96 | | | | | | | | | | (4412) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | BETA: splitting (164) gives:
% 74.29/10.96 | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | (4413) all_6_5 = e0
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | COMBINE_EQS: (486), (4413) imply:
% 74.29/10.96 | | | | | | | | | | | (4414) all_4_1 = e0
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | COMBINE_EQS: (439), (4414) imply:
% 74.29/10.96 | | | | | | | | | | | (4415) all_8_2 = e0
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | REDUCE: (94), (4414) imply:
% 74.29/10.96 | | | | | | | | | | | (4416) ~ (all_4_2 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | SIMP: (4416) implies:
% 74.29/10.96 | | | | | | | | | | | (4417) ~ (all_4_2 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | REDUCE: (90), (4414) imply:
% 74.29/10.96 | | | | | | | | | | | (4418) ~ (all_4_11 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | SIMP: (4418) implies:
% 74.29/10.96 | | | | | | | | | | | (4419) ~ (all_4_11 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | REDUCE: (89), (4414) imply:
% 74.29/10.96 | | | | | | | | | | | (4420) ~ (all_4_16 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | SIMP: (4420) implies:
% 74.29/10.96 | | | | | | | | | | | (4421) ~ (all_4_16 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | REDUCE: (4388), (4414) imply:
% 74.29/10.96 | | | | | | | | | | | (4422) ~ (e1 = e0)
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | BETA: splitting (161) gives:
% 74.29/10.96 | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | (4423) all_6_8 = e0
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | COMBINE_EQS: (498), (4423) imply:
% 74.29/10.96 | | | | | | | | | | | | (4424) all_4_16 = e0
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | REDUCE: (4421), (4424) imply:
% 74.29/10.96 | | | | | | | | | | | | (4425) $false
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | CLOSE: (4425) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | (4426) ~ (all_6_8 = e0)
% 74.29/10.96 | | | | | | | | | | | | (4427) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 74.29/10.96 | | | | | | | | | | | | all_6_8 = e1
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | BETA: splitting (160) gives:
% 74.29/10.96 | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | (4428) all_6_10 = e0
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | REF_CLOSE: (491), (4417), (4428) are inconsistent by
% 74.29/10.96 | | | | | | | | | | | | | sub-proof #237.
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | (4429) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 74.29/10.96 | | | | | | | | | | | | | all_6_10 = e1
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | BETA: splitting (4429) gives:
% 74.29/10.96 | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | (4430) all_6_10 = e4
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | REF_CLOSE: (491), (549), (4430) are inconsistent by sub-proof
% 74.29/10.96 | | | | | | | | | | | | | | #275.
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | (4431) ~ (all_6_10 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | (4432) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 74.29/10.96 | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | (4433) all_6_16 = e0
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | COMBINE_EQS: (503), (4433) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | (4434) all_4_8 = e0
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | REDUCE: (4402), (4434) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | (4435) $false
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | CLOSE: (4435) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | (4436) ~ (all_6_16 = e0)
% 74.29/10.96 | | | | | | | | | | | | | | | (4437) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 74.29/10.96 | | | | | | | | | | | | | | | all_6_16 = e1
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | BETA: splitting (4427) gives:
% 74.29/10.96 | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | (4438) all_6_8 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4438) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | (4439) all_4_16 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (4439) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | (4440) all_8_10 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | REDUCE: (33), (4439) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | (4441) ~ (all_4_17 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | SIMP: (4441) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | (4442) ~ (all_4_17 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | BETA: splitting (4412) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | (4443) all_6_2 = e3
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (4443) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | (4444) all_4_10 = e3
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | REDUCE: (51), (4444) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | (4445) ~ (all_4_15 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | SIMP: (4445) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | (4446) ~ (all_4_15 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | BETA: splitting (4437) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | (4447) all_6_16 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (4447) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | (4448) all_4_8 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | SIMP: (4448) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | (4449) all_4_8 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | REDUCE: (64), (4449) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | (4450) ~ (all_4_7 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | (4451) all_8_9 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (4406), (4451) are inconsistent by
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | (4452) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | (4453) all_8_10 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4440), (4453) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | (4454) e4 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | SIMP: (4454) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | (4455) e4 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (4455) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | (4456) $false
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | CLOSE: (4456) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | (4457) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4457) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | (4458) all_8_11 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (4458) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | (4459) all_4_17 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (4459) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | (4460) all_4_17 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (4460) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | (4461) ~ (all_4_12 = e0)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4442), (4460) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | (4462) ~ (e4 = e0)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | (4463) all_6_12 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (4463) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | (4464) all_4_12 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4461), (4464) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | (4465) $false
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4465) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | (4466) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | (4467) all_6_11 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4467) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | (4468) all_4_7 = e0
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4400), (4468) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | (4469) $false
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4469) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | (4470) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4466) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (4471) all_6_12 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (4471) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (4472) all_4_12 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (4472) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_10_112 = e4
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4474) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4474) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4475) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) ~ (all_10_112 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4473), (4476) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) $false
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4477) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4478) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) ~ (all_10_114 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) ~ (all_10_113 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) ~ (all_10_110 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4385), (4481) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) ~ (e3 = e1)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (373), (4480) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) ~ (all_4_18 = e3)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (4479) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) ~ (e3 = e0)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (201), (435), (478), (541), (574), (579), (580),
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4440), (4446), (4458), (4483) are inconsistent by
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #89.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (4485) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4485) gives:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4486) implies:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) ~ (all_10_111 = e2)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3306), (4487) imply:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) $false
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4488) is inconsistent.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (4385), (4489) are inconsistent by
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (4490) ~ (all_6_12 = e4)
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (495), (4490) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4491) ~ (all_4_12 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4470) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4492) all_6_11 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4492) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_4_7 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4450), (4493) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4494) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4494) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_8_6 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (549), (4496) are inconsistent by sub-proof
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4495) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) all_6_11 = e3
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4498) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_4_7 = e3
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (4499) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4500) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_6_11 = e2 | all_6_11 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4501) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) all_6_11 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4502) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) all_4_7 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (4503) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4504) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) all_6_11 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (4505) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) all_4_7 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (4506) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) all_8_7 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (199), (201), (384), (435), (444), (477),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (488), (541), (560), (561), (570), (575), (576),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (577), (583), (4394), (4404), (4406), (4412),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4421), (4491), (4497), (4507) are inconsistent by
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4508) ~ (all_8_11 = e0)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (4508) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4509) ~ (all_4_17 = e0)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (83), (157), (491), (500), (550), (571), (572),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4390), (4432), (4442), (4509) are inconsistent by
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | sub-proof #229.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | (4510) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (3313), (4510) are
% 74.29/10.97 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | (4511) all_6_2 = e2 | all_6_2 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (4394), (4511) are inconsistent by
% 74.29/10.97 | | | | | | | | | | | | | | | | | sub-proof #258.
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | (4512) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | BETA: splitting (4437) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | (4513) all_6_16 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (4513) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | (4514) all_4_8 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | REDUCE: (64), (4514) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | (4515) ~ (all_4_7 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | (4516) all_8_6 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (4390), (4516) are inconsistent by
% 74.29/10.97 | | | | | | | | | | | | | | | | | | sub-proof #99.
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | (4517) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | all_8_18 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | BETA: splitting (216) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | (4518) all_8_1 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4398), (4518) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | (4519) e1 = e0
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | REDUCE: (583), (4519) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | (4520) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | CLOSE: (4520) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | (4521) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | all_8_21 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (4517) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4522) all_8_7 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (4522) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4523) all_4_7 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | SIMP: (4523) implies:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4524) all_4_7 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (4515), (4524) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4525) ~ (e4 = e1)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4526) all_8_2 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4415), (4526) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4527) e4 = e0
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (4527) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4528) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4528) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | (4529) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | all_8_17 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4529) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4530) all_8_3 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3308), (4530) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4531) e4 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4531) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4532) $false
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4532) is inconsistent.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4533) ~ (all_8_3 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4534) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3308), (4533) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | (4535) ~ (e4 = e2)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4534) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4536) all_8_5 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (4536) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4537) all_4_11 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4537) implies:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4538) all_4_11 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (4538) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4539) ~ (all_4_12 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4539) implies:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4540) ~ (all_4_12 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_8_6 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (549), (4541) are inconsistent by sub-proof
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | #127.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (51), (199), (201), (384), (435), (444), (477),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (488), (541), (560), (561), (570), (575), (576),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (577), (583), (4394), (4404), (4406), (4412),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4421), (4522), (4540), (4542) are inconsistent by
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4543) ~ (all_8_5 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (4543) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | (4544) ~ (all_4_11 = e4)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4512) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_6_8 = e3
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (570), (4545) are inconsistent by sub-proof
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | #207.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_6_8 = e2 | all_6_8 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4546) gives:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4547) all_6_8 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4547) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4548) all_4_16 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4548) implies:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4549) all_4_16 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (4549) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4550) all_8_10 = e2
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (446), (574), (575), (4534), (4544), (4550)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #120.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_6_8 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (4551) are inconsistent by sub-proof
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | #202.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4552) ~ (all_8_7 = e1)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (4552) imply:
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4553) ~ (all_4_7 = e1)
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (449), (458), (467), (474), (559), (579), (674),
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | | (4521), (4553) are inconsistent by sub-proof #262.
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | (4554) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (3313), (4554) are
% 74.29/10.97 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 74.29/10.97 | | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | (4555) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 74.29/10.97 | | | | | | | | | | | all_6_5 = e1
% 74.29/10.97 | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | | REF_CLOSE: (486), (547), (548), (3309), (4388), (4555) are
% 74.29/10.97 | | | | | | | | | | | inconsistent by sub-proof #141.
% 74.29/10.97 | | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | | |
% 74.29/10.97 | | | | | | | | | End of split
% 74.29/10.97 | | | | | | | | |
% 74.29/10.97 | | | | | | | | End of split
% 74.29/10.97 | | | | | | | |
% 74.29/10.97 | | | | | | | Case 2:
% 74.29/10.97 | | | | | | | |
% 74.29/10.97 | | | | | | | | (4556) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 =
% 74.29/10.97 | | | | | | | | e1
% 74.29/10.97 | | | | | | | |
% 74.29/10.97 | | | | | | | | REF_CLOSE: (485), (553), (554), (3310), (4392), (4556) are
% 74.29/10.97 | | | | | | | | inconsistent by sub-proof #110.
% 74.29/10.97 | | | | | | | |
% 74.29/10.97 | | | | | | | End of split
% 74.29/10.97 | | | | | | |
% 74.29/10.97 | | | | | | End of split
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | Case 2:
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | | (4557) all_10_95 = e3
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | | COMBINE_EQS: (408), (4557) imply:
% 74.29/10.97 | | | | | | (4558) all_4_11 = e3
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | | SIMP: (4558) implies:
% 74.29/10.97 | | | | | | (4559) all_4_11 = e3
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | | REDUCE: (563), (4559) imply:
% 74.29/10.97 | | | | | | (4560) $false
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | | CLOSE: (4560) is inconsistent.
% 74.29/10.97 | | | | | |
% 74.29/10.97 | | | | | End of split
% 74.29/10.97 | | | | |
% 74.29/10.97 | | | | End of split
% 74.29/10.97 | | | |
% 74.29/10.97 | | | End of split
% 74.29/10.97 | | |
% 74.29/10.97 | | Case 2:
% 74.29/10.97 | | |
% 74.29/10.97 | | | (4561) all_10_111 = e1
% 74.29/10.97 | | |
% 74.29/10.97 | | | COMBINE_EQS: (411), (4561) imply:
% 74.29/10.97 | | | (4562) all_4_6 = e1
% 74.29/10.97 | | |
% 74.29/10.97 | | | COMBINE_EQS: (474), (4562) imply:
% 74.29/10.97 | | | (4563) all_8_3 = e1
% 74.29/10.97 | | |
% 74.29/10.97 | | | REDUCE: (91), (4562) imply:
% 74.29/10.97 | | | (4564) ~ (all_4_1 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | REDUCE: (68), (4562) imply:
% 74.29/10.97 | | | (4565) ~ (all_4_8 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | REDUCE: (67), (4562) imply:
% 74.29/10.97 | | | (4566) ~ (all_4_11 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | SIMP: (4566) implies:
% 74.29/10.97 | | | (4567) ~ (all_4_11 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | REDUCE: (66), (4562) imply:
% 74.29/10.97 | | | (4568) ~ (all_4_16 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | REDUCE: (555), (4562) imply:
% 74.29/10.97 | | | (4569) ~ (e3 = e1)
% 74.29/10.97 | | |
% 74.29/10.97 | | | BETA: splitting (326) gives:
% 74.29/10.97 | | |
% 74.29/10.97 | | | Case 1:
% 74.29/10.97 | | | |
% 74.29/10.97 | | | | (4570) ~ (all_10_111 = e1)
% 74.29/10.97 | | | |
% 74.29/10.98 | | | | REDUCE: (4561), (4570) imply:
% 74.29/10.98 | | | | (4571) $false
% 74.29/10.98 | | | |
% 74.29/10.98 | | | | CLOSE: (4571) is inconsistent.
% 74.29/10.98 | | | |
% 74.29/10.98 | | | Case 2:
% 74.29/10.98 | | | |
% 74.29/10.98 | | | | (4572) ~ (all_10_113 = e3) | all_10_96 = e3
% 74.29/10.98 | | | |
% 74.29/10.98 | | | | BETA: splitting (4572) gives:
% 74.29/10.98 | | | |
% 74.29/10.98 | | | | Case 1:
% 74.29/10.98 | | | | |
% 74.29/10.98 | | | | | (4573) ~ (all_10_113 = e3)
% 74.29/10.98 | | | | |
% 74.29/10.98 | | | | | REDUCE: (373), (4573) imply:
% 74.29/10.98 | | | | | (4574) ~ (all_4_18 = e3)
% 74.29/10.98 | | | | |
% 74.29/10.98 | | | | | BETA: splitting (208) gives:
% 74.29/10.98 | | | | |
% 74.29/10.98 | | | | | Case 1:
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | (4575) all_8_4 = e1
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | COMBINE_EQS: (433), (4575) imply:
% 74.29/10.98 | | | | | | (4576) all_4_10 = e1
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | SIMP: (4576) implies:
% 74.29/10.98 | | | | | | (4577) all_4_10 = e1
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | COMBINE_EQS: (424), (4577) imply:
% 74.29/10.98 | | | | | | (4578) all_10_91 = e1
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (97), (4577) imply:
% 74.29/10.98 | | | | | | (4579) ~ (all_4_0 = e1)
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (72), (4577) imply:
% 74.29/10.98 | | | | | | (4580) ~ (all_4_5 = e1)
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (53), (4577) imply:
% 74.29/10.98 | | | | | | (4581) ~ (all_4_13 = e1)
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (51), (4577) imply:
% 74.29/10.98 | | | | | | (4582) ~ (all_4_15 = e1)
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (561), (4577) imply:
% 74.29/10.98 | | | | | | (4583) ~ (e4 = e1)
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | REDUCE: (616), (4577) imply:
% 74.29/10.98 | | | | | | (4584) op(e4, e1) = all_10_64
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | BETA: splitting (204) gives:
% 74.29/10.98 | | | | | |
% 74.29/10.98 | | | | | | Case 1:
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | (4585) all_8_6 = e1
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | COMBINE_EQS: (447), (4585) imply:
% 74.29/10.98 | | | | | | | (4586) all_4_2 = e1
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | SIMP: (4586) implies:
% 74.29/10.98 | | | | | | | (4587) all_4_2 = e1
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | COMBINE_EQS: (398), (4587) imply:
% 74.29/10.98 | | | | | | | (4588) all_10_98 = e1
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (87), (4587) imply:
% 74.29/10.98 | | | | | | | (4589) ~ (all_4_3 = e1)
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (85), (4587) imply:
% 74.29/10.98 | | | | | | | (4590) ~ (all_4_7 = e1)
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | SIMP: (4590) implies:
% 74.29/10.98 | | | | | | | (4591) ~ (all_4_7 = e1)
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (84), (4587) imply:
% 74.29/10.98 | | | | | | | (4592) ~ (all_4_12 = e1)
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (550), (4587) imply:
% 74.29/10.98 | | | | | | | (4593) ~ (e2 = e1)
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (620), (4587) imply:
% 74.29/10.98 | | | | | | | (4594) op(e4, e1) = all_10_48
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | REDUCE: (116), (4587) imply:
% 74.29/10.98 | | | | | | | (4595) op(e2, e4) = e1
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 74.29/10.98 | | | | | | | all_10_48, e1, e4, simplifying with (123), (4594)
% 74.29/10.98 | | | | | | | gives:
% 74.29/10.98 | | | | | | | (4596) all_10_48 = all_4_15
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_64,
% 74.29/10.98 | | | | | | | all_10_48, e1, e4, simplifying with (4584), (4594)
% 74.29/10.98 | | | | | | | gives:
% 74.29/10.98 | | | | | | | (4597) all_10_48 = all_10_64
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | COMBINE_EQS: (4596), (4597) imply:
% 74.29/10.98 | | | | | | | (4598) all_10_64 = all_4_15
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | BETA: splitting (167) gives:
% 74.29/10.98 | | | | | | |
% 74.29/10.98 | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | (4599) all_6_1 = e0
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | COMBINE_EQS: (485), (4599) imply:
% 74.29/10.98 | | | | | | | | (4600) all_4_5 = e0
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | SIMP: (4600) implies:
% 74.29/10.98 | | | | | | | | (4601) all_4_5 = e0
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | COMBINE_EQS: (432), (4601) imply:
% 74.29/10.98 | | | | | | | | (4602) all_8_1 = e0
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | COMBINE_EQS: (427), (4601) imply:
% 74.29/10.98 | | | | | | | | (4603) all_10_90 = e0
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (98), (4601) imply:
% 74.29/10.98 | | | | | | | | (4604) ~ (all_4_0 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (75), (4601) imply:
% 74.29/10.98 | | | | | | | | (4605) ~ (all_4_7 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | SIMP: (4605) implies:
% 74.29/10.98 | | | | | | | | (4606) ~ (all_4_7 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (74), (4601) imply:
% 74.29/10.98 | | | | | | | | (4607) ~ (all_4_8 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | SIMP: (4607) implies:
% 74.29/10.98 | | | | | | | | (4608) ~ (all_4_8 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (71), (4601) imply:
% 74.29/10.98 | | | | | | | | (4609) ~ (all_4_15 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | SIMP: (4609) implies:
% 74.29/10.98 | | | | | | | | (4610) ~ (all_4_15 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (553), (4601) imply:
% 74.29/10.98 | | | | | | | | (4611) ~ (e3 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | REDUCE: (4580), (4601) imply:
% 74.29/10.98 | | | | | | | | (4612) ~ (e1 = e0)
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | BETA: splitting (159) gives:
% 74.29/10.98 | | | | | | | |
% 74.29/10.98 | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | (4613) all_6_11 = e0
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | COMBINE_EQS: (493), (4613) imply:
% 74.29/10.98 | | | | | | | | | (4614) all_4_7 = e0
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | REDUCE: (4606), (4614) imply:
% 74.29/10.98 | | | | | | | | | (4615) $false
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | CLOSE: (4615) is inconsistent.
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | (4616) ~ (all_6_11 = e0)
% 74.29/10.98 | | | | | | | | | (4617) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.29/10.98 | | | | | | | | | all_6_11 = e1
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | BETA: splitting (217) gives:
% 74.29/10.98 | | | | | | | | |
% 74.29/10.98 | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | (4618) all_8_1 = e2
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | COMBINE_EQS: (4602), (4618) imply:
% 74.29/10.98 | | | | | | | | | | (4619) e2 = e0
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | REDUCE: (582), (4619) imply:
% 74.29/10.98 | | | | | | | | | | (4620) $false
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | CLOSE: (4620) is inconsistent.
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | (4621) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 74.29/10.98 | | | | | | | | | | all_8_21 = e2
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | BETA: splitting (4617) gives:
% 74.29/10.98 | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | (4622) all_6_11 = e4
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | COMBINE_EQS: (493), (4622) imply:
% 74.29/10.98 | | | | | | | | | | | (4623) all_4_7 = e4
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | COMBINE_EQS: (449), (4623) imply:
% 74.29/10.98 | | | | | | | | | | | (4624) all_8_7 = e4
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | COMBINE_EQS: (395), (4623) imply:
% 74.29/10.98 | | | | | | | | | | | (4625) all_10_99 = e4
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | REDUCE: (62), (4623) imply:
% 74.29/10.98 | | | | | | | | | | | (4626) ~ (all_4_12 = e4)
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | SIMP: (4626) implies:
% 74.29/10.98 | | | | | | | | | | | (4627) ~ (all_4_12 = e4)
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | BETA: splitting (4621) gives:
% 74.29/10.98 | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | (4628) all_8_3 = e2
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | COMBINE_EQS: (4563), (4628) imply:
% 74.29/10.98 | | | | | | | | | | | | (4629) e2 = e1
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | REDUCE: (581), (4629) imply:
% 74.29/10.98 | | | | | | | | | | | | (4630) $false
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | CLOSE: (4630) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | (4631) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | BETA: splitting (4631) gives:
% 74.29/10.98 | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | (4632) all_8_7 = e2
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | REF_CLOSE: (575), (4624), (4632) are inconsistent by
% 74.29/10.98 | | | | | | | | | | | | | sub-proof #35.
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | (4633) all_8_13 = e2 | all_8_21 = e2
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | BETA: splitting (4633) gives:
% 74.29/10.98 | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | (4634) all_8_13 = e2
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | COMBINE_EQS: (458), (4634) imply:
% 74.29/10.98 | | | | | | | | | | | | | | (4635) all_4_8 = e2
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | SIMP: (4635) implies:
% 74.29/10.98 | | | | | | | | | | | | | | (4636) all_4_8 = e2
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | REDUCE: (80), (4636) imply:
% 74.29/10.98 | | | | | | | | | | | | | | (4637) ~ (all_4_3 = e2)
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | REDUCE: (58), (4636) imply:
% 74.29/10.98 | | | | | | | | | | | | | | (4638) ~ (all_4_13 = e2)
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | REDUCE: (57), (4636) imply:
% 74.29/10.98 | | | | | | | | | | | | | | (4639) ~ (all_4_18 = e2)
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | SIMP: (4639) implies:
% 74.29/10.98 | | | | | | | | | | | | | | (4640) ~ (all_4_18 = e2)
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | REDUCE: (558), (4636) imply:
% 74.29/10.98 | | | | | | | | | | | | | | (4641) ~ (e3 = e2)
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 74.29/10.98 | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | (4642) all_6_13 = e0
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | COMBINE_EQS: (500), (4642) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | (4643) all_4_17 = e0
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | SIMP: (4643) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | (4644) all_4_17 = e0
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | COMBINE_EQS: (452), (4644) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | (4645) all_8_11 = e0
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | REDUCE: (43), (4644) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | (4646) ~ (all_4_12 = e0)
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | REDUCE: (29), (4644) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | (4647) ~ (all_4_18 = e0)
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | SIMP: (4647) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | (4648) ~ (all_4_18 = e0)
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 74.29/10.98 | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | (4649) all_6_18 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (4649) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | (4650) all_4_18 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | REDUCE: (4648), (4650) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | (4651) $false
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | CLOSE: (4651) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | (4652) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 74.29/10.98 | | | | | | | | | | | | | | | | all_6_18 = e1
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | (4653) all_6_12 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (4653) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | (4654) all_4_12 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | REDUCE: (4646), (4654) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | (4655) $false
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | CLOSE: (4655) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | (4656) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 74.29/10.98 | | | | | | | | | | | | | | | | | all_6_12 = e1
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4657) all_8_9 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4657) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4658) all_4_15 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | SIMP: (4658) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4659) all_4_15 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | REDUCE: (96), (4659) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4660) ~ (all_4_0 = e3)
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | REDUCE: (36), (4659) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4661) ~ (all_4_18 = e3)
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | REDUCE: (568), (4659) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | (4662) ~ (e4 = e3)
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | (4663) all_6_0 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (4663) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | (4664) all_4_0 = e0
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | REDUCE: (4604), (4664) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | (4665) $false
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | CLOSE: (4665) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | (4666) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | (4667) all_8_6 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4585), (4667) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | (4668) e3 = e1
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (4668) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | (4669) $false
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (4669) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | (4670) all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | all_8_18 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | (4671) all_8_0 = e2
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (4671) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | (4672) all_4_0 = e2
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | SIMP: (4672) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | (4673) all_4_0 = e2
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4673) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | (4674) all_10_110 = e2
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4670) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | (4675) all_8_7 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4624), (4675) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | (4676) e4 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (4676) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | (4677) $false
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4677) is inconsistent.
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | (4678) all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4678) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | (4679) all_8_8 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (4679) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | (4680) all_4_12 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4680) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | (4681) all_4_12 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (4681) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | (4682) all_10_112 = e3
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4652) gives:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_6_18 = e4
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (4683) imply:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_4_18 = e4
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4684) implies:
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_4_18 = e4
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.98 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (4685) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_10_113 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4687) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4687) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4688) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) ~ (all_10_113 = e4)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4686), (4689) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4690) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4691) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) ~ (all_10_112 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4682), (4692) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4693) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4694) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4694) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4695) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) ~ (all_10_110 = e2)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4674), (4696) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4697) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (4561), (4698) are inconsistent by
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (4574), (4640), (4699) are
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4700) all_8_11 = e3 | all_8_18 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (578), (580), (4645), (4700) are
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4701) ~ (all_8_0 = e2)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (4701) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4702) ~ (all_4_0 = e2)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (546), (4579), (4660), (4666), (4702) are
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4703) ~ (all_8_9 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | REDUCE: (435), (4703) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4704) ~ (all_4_15 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | BETA: splitting (4652) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4705) all_6_18 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (4705) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4706) all_4_18 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | REDUCE: (40), (4706) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4707) ~ (all_4_13 = e4)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (4656) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4708) all_6_12 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (4708) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4709) all_4_12 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (4627), (4709) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4710) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (4710) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4711) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4711) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4712) all_6_12 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (4712) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4713) all_4_12 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (4713) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4714) ~ (all_4_13 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | SIMP: (4714) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4715) ~ (all_4_13 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4716) all_6_17 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4716) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4717) all_4_13 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (4717) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4718) ~ (all_4_3 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (99), (156), (165), (168), (197), (223),
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (456), (473), (483), (497), (502), (546), (551),
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (552), (567), (568), (4579), (4604), (4610),
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4637), (4704), (4718) are inconsistent by
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4719) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (4707), (4715), (4719) are
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4720) all_6_12 = e2 | all_6_12 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (4720) are inconsistent by
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | sub-proof #272.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4721) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (4574), (4640), (4721) are
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | End of split
% 74.29/10.99 | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | (4722) ~ (all_6_13 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | REDUCE: (500), (4722) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | (4723) ~ (all_4_17 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 74.29/10.99 | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | (4724) all_8_6 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (4585), (4724) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | (4725) e1 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | SIMP: (4725) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | (4726) e1 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | REDUCE: (583), (4726) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | (4727) $false
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | CLOSE: (4727) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | (4728) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 74.29/10.99 | | | | | | | | | | | | | | | | all_8_18 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | BETA: splitting (4728) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | (4729) all_8_7 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (4624), (4729) are inconsistent by
% 74.29/10.99 | | | | | | | | | | | | | | | | | sub-proof #29.
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | (4730) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | BETA: splitting (4730) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4731) all_8_8 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (4731) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4732) all_4_12 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | SIMP: (4732) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4733) all_4_12 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (4733) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4734) all_10_112 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | REDUCE: (49), (4733) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4735) ~ (all_4_11 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | REDUCE: (44), (4733) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4736) ~ (all_4_13 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | SIMP: (4736) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | (4737) ~ (all_4_13 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4738) all_8_6 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4585), (4738) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4739) e3 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | REDUCE: (579), (4739) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4740) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | CLOSE: (4740) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | (4741) all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | all_8_18 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (4741) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4742) all_8_7 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4624), (4742) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4743) e4 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | SIMP: (4743) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4744) e4 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (4744) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4745) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (4745) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | (4746) all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4746) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4747) all_8_8 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4731), (4747) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4748) e3 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4748) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4749) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4749) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | (4750) all_8_11 = e3 | all_8_18 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4751) all_6_7 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (4735), (4751) are inconsistent by
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | (4752) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4752) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4753) all_6_7 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (4753) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4754) all_4_11 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4754) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4755) all_4_11 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (4755) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4756) all_10_95 = e4
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (4755) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4757) ~ (all_4_13 = e4)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4757) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | (4758) ~ (all_4_13 = e4)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4750) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_8_11 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (4759) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4760) all_4_17 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4760) implies:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4761) all_4_17 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (4761) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4762) all_10_100 = e3
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (4761) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | (4763) ~ (all_4_15 = e3)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_6_3 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4764) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_4_15 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4610), (4765) imply:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4766) $false
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4766) is inconsistent.
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4767) ~ (all_6_3 = e0)
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | (4768) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) all_6_17 = e0
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (4769) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_4_13 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4737), (4770) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4771) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) all_8_12 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (456), (551), (4773) are inconsistent by sub-proof
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | #125.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4774) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_8_13 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4634), (4775) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) e4 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4776) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4777) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4768) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) all_6_3 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4779) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) all_4_15 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (4780) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4781) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4782) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) all_6_3 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4783) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) all_4_15 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4763), (4784) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4785) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) ~ (all_6_3 = e3)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_6_3 = e2 | all_6_3 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4778) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_8_14 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (4788) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) all_4_13 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4758), (4789) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4790) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) all_8_15 = e4 | all_8_19 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4791) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) all_8_15 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (4792) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_4_18 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4793) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) all_4_18 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (4794) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) all_10_113 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (4794) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) ~ (all_4_16 = e4)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4787) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_6_3 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4797) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_4_15 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (4798) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) ~ (all_4_0 = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4798) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) ~ (all_4_16 = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4800) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) ~ (all_4_16 = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (4798) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) ~ (e4 = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_6_0 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (4604), (4803) are inconsistent by
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) ~ (all_6_0 = e0)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_6_8 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4806) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) all_4_16 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4807) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) all_4_16 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (4808) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_10_96 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) all_8_12 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (4810) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) all_4_3 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4811) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_4_3 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (4812) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_10_102 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4637), (4812) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) ~ (e2 = e0)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) all_8_12 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4810), (4815) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) e3 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4759), (4816) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_8_11 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (578), (580), (4750), (4817) are
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4818) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) all_8_13 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4634), (4819) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) e3 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4820) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4821) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4822) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_8_14 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (4823) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_4_13 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (4824) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) all_10_104 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4805) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) all_6_0 = e4
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (546), (4826) are inconsistent by sub-proof
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) all_8_0 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (4828) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) all_4_0 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4829) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) all_4_0 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4830) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) all_10_110 = e3
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_93 = e2 & ( ~ (all_10_91 = e0)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_94 = e2 & ( ~
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4) | unit = e2)) | (all_10_95 =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & unit = e2) | (all_10_96 = e2 & ( ~
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e1) | unit = e2)) | (all_10_97 =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ( ~ (all_10_95 = e0) | unit = e2)) |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e2 & ( ~ (all_10_112 = e4) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_99 = e2 & ( ~ (all_10_112 = e3)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_100 = e2 & ( ~
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) | unit = e2)) | (all_10_101
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_112 = e0) | unit = e2))
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4832) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_93 = e2 & ( ~ (all_10_91 = e0)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_94 = e2 & ( ~
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4) | unit = e2)) | (all_10_95 =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & unit = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4833) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) (all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_91 = e2 & unit = e2) |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit =
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4834) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_10_90 = e2 & ( ~ (all_10_91 = e3) | unit = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4835) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_10_90 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4603), (4836) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) e2 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4634), (4837) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) all_8_13 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4838) are
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) (all_10_91 = e2 & unit = e2) | (all_10_92 = e2 & (
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_91 = e1) | unit = e2))
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4839) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_10_91 = e2 & unit = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4840) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) unit = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) all_10_91 = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4578), (4842) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) e2 = e1
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4841) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) e2 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4843), (4844) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) e1 = e0
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4843),
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) are inconsistent by sub-proof #118.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) all_10_92 = e2 & ( ~ (all_10_91 = e1) | unit = e2)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4846) implies:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) ~ (all_10_91 = e1) | unit = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) ~ (all_10_91 = e1)
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4578), (4848) imply:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) $false
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4849) is inconsistent.
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) unit = e2
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4850) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) e2 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4851) are
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) (all_10_93 = e2 & ( ~ (all_10_91 = e0) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_94 = e2 & ( ~ (all_10_95 = e4)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_95 = e2 & unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4852) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_10_93 = e2 & ( ~ (all_10_91 = e0) | unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4853) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_10_93 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (4854) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) e4 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4855) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) e4 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4856) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4857) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) (all_10_94 = e2 & ( ~ (all_10_95 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_95 = e2 & unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4858) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) all_10_94 = e2 & ( ~ (all_10_95 = e4) | unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4859) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) ~ (all_10_95 = e4) | unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4860) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) ~ (all_10_95 = e4)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4756), (4861) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4862) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (467), (578), (582), (4633), (4634), (4863)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #27.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_10_95 = e2 & unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4864) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4865) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) e2 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4866) are
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_97 = e2 & ( ~ (all_10_95 = e0)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_98 = e2 & ( ~
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) | unit = e2)) | (all_10_99 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ( ~ (all_10_112 = e3) | unit = e2)) |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_101 = e2 & ( ~ (all_10_112 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4867) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) (all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_97 = e2 & ( ~ (all_10_95 = e0)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_98 = e2 & ( ~
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4868) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) all_10_96 = e2 & ( ~ (all_10_95 = e1) | unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4869) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_10_96 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4809), (4870) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) e2 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4871) are
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) (all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_98 = e2 & ( ~ (all_10_112 = e4)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4872) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (578), (4873) are inconsistent by sub-proof
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #69.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) all_10_98 = e2 & ( ~ (all_10_112 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4874) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) all_10_98 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4588), (4875) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) e2 = e1
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4876) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) e2 = e1
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (4877) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4878) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) (all_10_99 = e2 & ( ~ (all_10_112 = e3) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_100 = e2 & ( ~ (all_10_112 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e2)) | (all_10_101 = e2 & ( ~
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4879) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) all_10_99 = e2 & ( ~ (all_10_112 = e3) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4880) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) all_10_99 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4625), (4881) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) e4 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4882) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4883) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) (all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_101 = e2 & ( ~ (all_10_112 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4884) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) all_10_100 = e2 & ( ~ (all_10_112 = e1) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4885) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) all_10_100 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4762), (4886) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) e3 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4887) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4888) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) all_10_101 = e2 & ( ~ (all_10_112 = e0) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4889) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) ~ (all_10_112 = e0) | unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4890) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) ~ (all_10_112 = e0)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4734), (4891) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4892) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (467), (578), (582), (4633), (4634), (4893)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #27.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_10_105 = e2 & ( ~ (all_10_104 = e0)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_106 = e2 & ( ~
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e4) | unit = e2)) | (all_10_107
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_108 = e3) | unit = e2)) |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_111 = e2 & ( ~ (all_10_95 = e3)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_112 = e2 & unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4894) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2) | (all_10_105 = e2 & ( ~ (all_10_104 = e0)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_106 = e2 & ( ~
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e4) | unit = e2)) | (all_10_107
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2 & ( ~ (all_10_108 = e3) | unit = e2))
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4895) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) (all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_103 = e2 & ( ~ (all_10_104 =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2)) | (all_10_104 = e2 & unit
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4896) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_10_102 = e2 & ( ~ (all_10_104 = e4) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4897) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_10_102 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4813), (4898) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) e2 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4899) are
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) (all_10_103 = e2 & ( ~ (all_10_104 = e3) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_104 = e2 & unit = e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4900) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_10_103 = e2 & ( ~ (all_10_104 = e3) | unit =
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4901) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) ~ (all_10_104 = e3) | unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4902) gives:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) ~ (all_10_104 = e3)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4825), (4903) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) $false
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4904) is inconsistent.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (467), (578), (582), (4633), (4634), (4905)
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #27.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_10_104 = e2 & unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4906) implies:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) unit = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) all_10_104 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4825), (4908) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) e3 = e2
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4907) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) e2 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4909), (4910) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) e3 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4759), (4911) imply:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_8_11 = e0
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (578), (580), (4750), (4912) are
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #143.
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) (all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_106 = e2 & ( ~ (all_10_108 =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e2)) | (all_10_107 = e2 & ( ~
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_108 = e3) | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4913) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_10_105 = e2 & ( ~ (all_10_104 = e0) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4914) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) all_10_105 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (370), (4915) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) e2 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4916) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) e2 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (4917) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4918) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) (all_10_106 = e2 & ( ~ (all_10_108 = e4) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_107 = e2 & ( ~ (all_10_108 =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (362), (366), (575), (578), (4919) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_111 = e2 & ( ~ (all_10_95 = e3)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2)) | (all_10_112 = e2 & unit = e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4920) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) (all_10_108 = e2 & unit = e2) | (all_10_109 = e2 &
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_108 = e1) | unit = e2)) |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4921) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_10_108 = e2 & unit = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4922) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) unit = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4923) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) e2 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4634), (4924) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) (all_10_109 = e2 & ( ~ (all_10_108 = e1) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_110 = e2 & ( ~ (all_10_91 = e4)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4925) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_10_109 = e2 & ( ~ (all_10_108 = e1) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4926) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) all_10_109 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4927) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) e2 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4928) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) e2 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (4929) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4930) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) all_10_110 = e2 & ( ~ (all_10_91 = e4) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4931) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_10_110 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4831), (4932) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) e3 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4933) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4934) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) (all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_112 = e2 & unit = e2) |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4935) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4936) (all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_112 = e2 & unit = e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4936) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4937) all_10_111 = e2 & ( ~ (all_10_95 = e3) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4937) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4938) all_10_111 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4561), (4938) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4939) e2 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (4939) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4940) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4940) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4941) all_10_112 = e2 & unit = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4941) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4942) unit = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (4942) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4943) e2 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4634), (4943) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4944) all_8_13 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4944) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4945) (all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) | (all_10_114 = e2 & ( ~ (all_10_108 =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e2))
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4945) gives:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4946) all_10_113 = e2 & ( ~ (all_10_104 = e1) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4946) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4947) all_10_113 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4795), (4947) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4948) e4 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4948) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4949) e4 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (4949) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4950) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4950) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4951) all_10_114 = e2 & ( ~ (all_10_108 = e0) | unit =
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4951) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4952) all_10_114 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (4952) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4953) e2 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4634), (4953) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4954) all_8_13 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (4633), (4954) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4955) ~ (all_8_0 = e3)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (4955) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4956) ~ (all_4_0 = e3)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (4579), (4799), (4827), (4956) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #154.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4957) ~ (all_8_14 = e3)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (4957) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4958) ~ (all_4_13 = e3)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (4758), (4772), (4958) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4959) ~ (all_8_12 = e0)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (456), (4959) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4960) ~ (all_4_3 = e0)
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (99), (156), (165), (168), (197), (223),
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (456), (473), (483), (497), (502), (546), (551),
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (552), (567), (568), (4579), (4604), (4610),
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637), (4763), (4960) are inconsistent by
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #31.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4961) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (4796), (4801), (4961) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #95.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4962) all_6_3 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (4962) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4963) all_4_15 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (4963) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4964) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4964) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4965) all_8_19 = e4
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (4965) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4966) e4 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (4966) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4967) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4967) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (4968) all_8_18 = e3
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (4968) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (4969) e3 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4969) implies:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (4970) e3 = e2
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4970) imply:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (4971) $false
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4971) is inconsistent.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | (4972) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (4567), (4972) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | (4973) all_8_11 = e0 | all_8_18 = e0
% 74.29/11.02 | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (582), (4723), (4973) are
% 74.29/11.02 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 74.29/11.02 | | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | (4974) all_8_21 = e2
% 74.29/11.02 | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (4974) are inconsistent by sub-proof
% 74.29/11.02 | | | | | | | | | | | | | | #196.
% 74.29/11.02 | | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | (4975) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 74.29/11.02 | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (4591), (4975) are
% 74.29/11.02 | | | | | | | | | | | inconsistent by sub-proof #253.
% 74.29/11.02 | | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | | |
% 74.29/11.02 | | | | | | | | | End of split
% 74.29/11.02 | | | | | | | | |
% 74.29/11.02 | | | | | | | | End of split
% 74.29/11.02 | | | | | | | |
% 74.29/11.02 | | | | | | | Case 2:
% 74.29/11.02 | | | | | | | |
% 74.29/11.02 | | | | | | | | (4976) ~ (all_6_1 = e0)
% 74.29/11.02 | | | | | | | | (4977) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 =
% 74.29/11.02 | | | | | | | | e1
% 74.29/11.02 | | | | | | | |
% 74.29/11.02 | | | | | | | | REDUCE: (485), (4976) imply:
% 74.29/11.03 | | | | | | | | (4978) ~ (all_4_5 = e0)
% 74.29/11.03 | | | | | | | |
% 74.29/11.03 | | | | | | | | BETA: splitting (4977) gives:
% 74.29/11.03 | | | | | | | |
% 74.29/11.03 | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | | (4979) all_6_1 = e4
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | | REF_CLOSE: (485), (554), (4979) are inconsistent by sub-proof
% 74.29/11.03 | | | | | | | | | #164.
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | Case 2:
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | | (4980) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | | BETA: splitting (4980) gives:
% 74.29/11.03 | | | | | | | | |
% 74.29/11.03 | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | (4981) all_6_1 = e3
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | REF_CLOSE: (485), (553), (4981) are inconsistent by sub-proof
% 74.29/11.03 | | | | | | | | | | #163.
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | Case 2:
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | (4982) all_6_1 = e2 | all_6_1 = e1
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | BETA: splitting (4982) gives:
% 74.29/11.03 | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | (4983) all_6_1 = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | COMBINE_EQS: (485), (4983) imply:
% 74.29/11.03 | | | | | | | | | | | (4984) all_4_5 = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | SIMP: (4984) implies:
% 74.29/11.03 | | | | | | | | | | | (4985) all_4_5 = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | COMBINE_EQS: (432), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4986) all_8_1 = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | COMBINE_EQS: (427), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4987) all_10_90 = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | REDUCE: (75), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4988) ~ (all_4_7 = e2)
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | REDUCE: (71), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4989) ~ (all_4_15 = e2)
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | SIMP: (4989) implies:
% 74.29/11.03 | | | | | | | | | | | (4990) ~ (all_4_15 = e2)
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | REDUCE: (584), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4991) op(e2, e4) = all_10_1
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | REDUCE: (585), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4992) op(e2, e3) = all_10_2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | REDUCE: (125), (4985) imply:
% 74.29/11.03 | | | | | | | | | | | (4993) op(e4, e3) = e2
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7,
% 74.29/11.03 | | | | | | | | | | | all_10_2, e3, e2, simplifying with (115), (4992)
% 74.29/11.03 | | | | | | | | | | | gives:
% 74.29/11.03 | | | | | | | | | | | (4994) all_10_2 = all_4_7
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_10_1,
% 74.29/11.03 | | | | | | | | | | | e4, e2, simplifying with (4595), (4991) gives:
% 74.29/11.03 | | | | | | | | | | | (4995) all_10_1 = e1
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | BETA: splitting (164) gives:
% 74.29/11.03 | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | (4996) all_6_5 = e0
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | COMBINE_EQS: (486), (4996) imply:
% 74.29/11.03 | | | | | | | | | | | | (4997) all_4_1 = e0
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | SIMP: (4997) implies:
% 74.29/11.03 | | | | | | | | | | | | (4998) all_4_1 = e0
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | COMBINE_EQS: (414), (4998) imply:
% 74.29/11.03 | | | | | | | | | | | | (4999) all_10_94 = e0
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | REDUCE: (101), (4998) imply:
% 74.29/11.03 | | | | | | | | | | | | (5000) ~ (all_4_0 = e0)
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | REDUCE: (90), (4998) imply:
% 74.29/11.03 | | | | | | | | | | | | (5001) ~ (all_4_11 = e0)
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | SIMP: (5001) implies:
% 74.29/11.03 | | | | | | | | | | | | (5002) ~ (all_4_11 = e0)
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | REF_CLOSE: (43), (49), (62), (158), (159), (162), (201),
% 74.29/11.03 | | | | | | | | | | | | (220), (337), (438), (444), (452), (473), (478),
% 74.29/11.03 | | | | | | | | | | | | (490), (493), (495), (541), (556), (557), (562),
% 74.29/11.03 | | | | | | | | | | | | (563), (564), (570), (579), (582), (672), (4567),
% 74.29/11.03 | | | | | | | | | | | | (4574), (4575), (4591), (4986), (4987), (4994),
% 74.29/11.03 | | | | | | | | | | | | (4995), (4999), (5000), (5002) are inconsistent by
% 74.29/11.03 | | | | | | | | | | | | sub-proof #24.
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | Case 2:
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | (5003) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 74.29/11.03 | | | | | | | | | | | | all_6_5 = e1
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | BETA: splitting (5003) gives:
% 74.29/11.03 | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | (5004) all_6_5 = e4
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | REF_CLOSE: (486), (547), (5004) are inconsistent by sub-proof
% 74.29/11.03 | | | | | | | | | | | | | #209.
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | Case 2:
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | (5005) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | BETA: splitting (5005) gives:
% 74.29/11.03 | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | (5006) all_6_5 = e3
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (5006) are inconsistent by sub-proof
% 74.29/11.03 | | | | | | | | | | | | | | #206.
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | Case 2:
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | (5007) all_6_5 = e2 | all_6_5 = e1
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | BETA: splitting (5007) gives:
% 74.29/11.03 | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | Case 1:
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | (5008) all_6_5 = e2
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5008) imply:
% 74.29/11.03 | | | | | | | | | | | | | | | (5009) all_4_1 = e2
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | SIMP: (5009) implies:
% 74.29/11.03 | | | | | | | | | | | | | | | (5010) all_4_1 = e2
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | COMBINE_EQS: (439), (5010) imply:
% 74.29/11.03 | | | | | | | | | | | | | | | (5011) all_8_2 = e2
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | COMBINE_EQS: (414), (5010) imply:
% 74.29/11.03 | | | | | | | | | | | | | | | (5012) all_10_94 = e2
% 74.29/11.03 | | | | | | | | | | | | | | |
% 74.29/11.03 | | | | | | | | | | | | | | | REDUCE: (101), (5010) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | (5013) ~ (all_4_0 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | REDUCE: (90), (5010) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | (5014) ~ (all_4_11 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | REDUCE: (89), (5010) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | (5015) ~ (all_4_16 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | SIMP: (5015) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | (5016) ~ (all_4_16 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 74.63/11.03 | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | (5017) all_8_9 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | REF_CLOSE: (435), (4990), (5017) are inconsistent by
% 74.63/11.03 | | | | | | | | | | | | | | | | sub-proof #167.
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | (5018) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 74.63/11.03 | | | | | | | | | | | | | | | | all_8_23 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | BETA: splitting (5018) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | (5019) all_8_10 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (5016), (5019) are inconsistent by
% 74.63/11.03 | | | | | | | | | | | | | | | | | sub-proof #49.
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | (5020) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | BETA: splitting (5020) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | (5021) all_8_11 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (572), (5021) are inconsistent by sub-proof
% 74.63/11.03 | | | | | | | | | | | | | | | | | | #48.
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | (5022) all_8_15 = e2 | all_8_23 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | BETA: splitting (5022) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5023) all_8_15 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5023) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5024) all_4_18 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | SIMP: (5024) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5025) all_4_18 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (5025) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5026) all_10_113 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | REDUCE: (78), (5025) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5027) ~ (all_4_3 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | REDUCE: (57), (5025) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5028) ~ (all_4_8 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | REDUCE: (4574), (5025) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | (5029) ~ (e3 = e2)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5030) all_6_8 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5030) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5031) all_4_16 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5032) all_10_96 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5033) ~ (all_4_11 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5034) ~ (all_4_15 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5035) ~ (e3 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (5016), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5036) ~ (e2 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (5031) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | (5037) ~ (e1 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | (5038) all_6_3 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (5034), (5038) are inconsistent by
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | (5039) ~ (all_6_3 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | (5040) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5040) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | (5041) all_6_3 = e4
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (568), (5041) are inconsistent by sub-proof
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | #124.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | (5042) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | (5043) all_6_7 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (5033), (5043) are inconsistent by
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #276.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | (5044) ~ (all_6_7 = e0)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | (5045) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5045) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5046) all_6_7 = e4
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5046) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5047) all_4_11 = e4
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5047) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5048) all_4_11 = e4
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (5048) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5049) ~ (all_4_12 = e4)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5049) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5050) ~ (all_4_12 = e4)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5048) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5051) ~ (all_4_13 = e4)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5051) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | (5052) ~ (all_4_13 = e4)
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5053) all_8_0 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5053) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5054) all_4_0 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5054) implies:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5055) all_4_0 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (5055) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | (5056) all_10_110 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5057) all_8_0 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5053), (5057) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5058) e3 = e0
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5058) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5059) $false
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5059) is inconsistent.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | (5060) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5061) all_8_2 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5011), (5061) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5062) e3 = e2
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5062) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5063) $false
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5063) is inconsistent.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5064) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5064) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5065) all_8_6 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4585), (5065) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5066) e3 = e1
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (5066) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5067) $false
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5067) is inconsistent.
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5068) all_8_12 = e3 | all_8_20 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5068) gives:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5069) all_8_12 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (5069) imply:
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5070) all_4_3 = e3
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5070) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5071) all_4_3 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (5071) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5072) all_10_102 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5071) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5073) ~ (all_4_8 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (5071) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5074) ~ (all_4_13 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5074) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5075) ~ (all_4_13 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5076) all_6_17 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5076) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5077) all_4_13 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (5077) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078) all_10_104 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (5077) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5079) ~ (all_4_8 = e0)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (5077) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5080) ~ (all_4_12 = e0)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5081) all_6_16 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (5079), (5081) are inconsistent by
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #152.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5082) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_6_12 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (5080), (5083) are inconsistent by
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5042) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5085) all_6_3 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5085) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) all_4_15 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5086) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_8_9 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (5086) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) all_10_92 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (5086) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) ~ (all_4_17 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5089) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) ~ (all_4_17 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5082) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) all_6_16 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5091) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) all_4_8 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5092) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) all_4_8 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (5093) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) ~ (all_4_7 = e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_6_11 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (5095) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_4_7 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5096) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) all_10_99 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (5096) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) ~ (all_4_12 = e0)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5094), (5096) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) ~ (e4 = e0)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5084) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) all_6_12 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (5100) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) all_4_12 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5050), (5101) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5102) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) ~ (all_6_12 = e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5104) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) all_6_12 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (5105) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) all_4_12 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (5106) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_10_112 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5050), (5106) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5108) ~ (e4 = e3)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5109) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4)) | (all_10_93 =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_110 = e0) | unit = e4)) |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4)) | (all_10_96
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_94 = e1) | unit = e4)) |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_98 = e4 & unit = e4) |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5109) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5110) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4)) | (all_10_93 =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_110 = e0) | unit = e4)) |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5110) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5111) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5111) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5112) all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5112) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5113) all_10_90 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4987), (5113) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5114) e4 = e2
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5114) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5115) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5115) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5116) (all_10_91 = e4 & ( ~ (all_10_110 = e2) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_92 = e4 & ( ~ (all_10_110 = e1)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5116) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5117) all_10_91 = e4 & ( ~ (all_10_110 = e2) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5117) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5118) all_10_91 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4578), (5118) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5119) e4 = e1
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5119) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5120) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5120) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5121) all_10_92 = e4 & ( ~ (all_10_110 = e1) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5121) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5122) all_10_92 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5088), (5122) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5123) e4 = e3
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5123) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5124) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5125) (all_10_93 = e4 & ( ~ (all_10_110 = e0) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_94 = e4 & unit = e4) |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5125) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5126) all_10_93 = e4 & ( ~ (all_10_110 = e0) | unit =
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5126) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5127) ~ (all_10_110 = e0) | unit = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (577), (5056), (5127) are inconsistent by
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5128) (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4))
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5128) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5129) all_10_94 = e4 & unit = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5129) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5130) unit = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5131) all_10_94 = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5012), (5131) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5132) e4 = e2
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5130) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5133) e4 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5133) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5134) e4 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5132), (5134) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5135) e2 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5023), (5135) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5136) all_8_15 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (581), (582), (5022), (5136) are
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5137) all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit = e4)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5137) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5138) ~ (all_10_94 = e2) | unit = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5138) gives:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5139) ~ (all_10_94 = e2)
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5012), (5139) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5140) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5140) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5141) unit = e4
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5141) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5142) e4 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5142) implies:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5143) e4 = e0
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5143) imply:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5144) $false
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5144) is inconsistent.
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5145) (all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_97 = e4 & ( ~ (all_10_94 = e0)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_98 = e4 & unit = e4) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5145) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5146) (all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_97 = e4 & ( ~ (all_10_94 = e0)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_98 = e4 & unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5146) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5147) all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5147) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5148) all_10_96 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5032), (5148) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5149) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5149) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5150) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5150) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5151) (all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_98 = e4 & unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5151) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5152) all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (574), (5152) are inconsistent by sub-proof
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_10_98 = e4 & unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5153) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5154) unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_10_98 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4588), (5155) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5156) e4 = e1
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5156) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5157) e4 = e1
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5154) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5158) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5158) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5159) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5157), (5159) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5160) e1 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (5160) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5161) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5162) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5163) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_10_99 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5097), (5164) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5165) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5166) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5167) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) (all_10_100 = e4 & ( ~ (all_10_98 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_101 = e4 & ( ~ (all_10_98 = e0)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5168) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) all_10_100 = e4 & ( ~ (all_10_98 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5169) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) ~ (all_10_98 = e1) | unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5170) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) ~ (all_10_98 = e1)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4588), (5171) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5172) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5173) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5174) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5175) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) all_10_101 = e4 & ( ~ (all_10_98 = e0) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (545), (575), (5176) are inconsistent by sub-proof
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_105 = e4 & ( ~ (all_10_102 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4)) | (all_10_106 = e4 & unit
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_107 = e4 & ( ~ (all_10_106 = e3)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_108 = e4 & ( ~
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e2) | unit = e4)) | (all_10_109
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_106 = e1) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e4 & unit = e4) | (all_10_111 = e4 &
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_94 = e3) | unit = e4)) | (all_10_112
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_98 = e2) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_114 = e4 & ( ~ (all_10_106 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5177) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_105 = e4 & ( ~ (all_10_102 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4)) | (all_10_106 = e4 & unit
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_107 = e4 & ( ~ (all_10_106 = e3)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5178) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5179) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_10_102 = e4 & unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5180) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) all_10_102 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5072), (5182) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) e4 = e3
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5183) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) e4 = e3
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5181) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5185) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5184), (5186) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) e3 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5087), (5187) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_8_9 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (201), (444), (452), (478), (541), (570), (579),
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (580), (4574), (5090), (5188) are inconsistent by
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) (all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_104 = e4 & ( ~ (all_10_102 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5189) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5190) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) ~ (all_10_102 = e3) | unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5191) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) ~ (all_10_102 = e3)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5072), (5192) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5193) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) unit = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5194) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) e4 = e0
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5195) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5196) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5197) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) all_10_104 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (5078), (5198) are inconsistent by
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) (all_10_105 = e4 & ( ~ (all_10_102 = e0) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_106 = e4 & unit = e4) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4 & ( ~ (all_10_106 = e3) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (362), (370), (574), (576), (577), (5199)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) (all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_109 = e4 & ( ~ (all_10_106 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e4)) | (all_10_110 = e4 & unit
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_111 = e4 & ( ~ (all_10_94 = e3)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_112 = e4 & ( ~
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e2) | unit = e4)) | (all_10_113 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_102 = e1) | unit = e4)) |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4 & ( ~ (all_10_106 = e0) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5200) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) (all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_109 = e4 & ( ~ (all_10_106 =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e4)) | (all_10_110 = e4 & unit
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5201) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5202) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) all_10_108 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (5203) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) e4 = e2
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5204) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) e4 = e2
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5205) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) $false
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5206) is inconsistent.
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) (all_10_109 = e4 & ( ~ (all_10_106 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_110 = e4 & unit = e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5207) gives:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_10_109 = e4 & ( ~ (all_10_106 = e1) | unit =
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5208) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) all_10_109 = e4
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5209) imply:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) e4 = e1
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5210) implies:
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) e4 = e1
% 74.63/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5211) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) $false
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5212) is inconsistent.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_10_110 = e4 & unit = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (577), (5213) are inconsistent by sub-proof
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) (all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_112 = e4 & ( ~ (all_10_98 = e2)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_113 = e4 & ( ~
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_102 = e1) | unit = e4)) | (all_10_114
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_106 = e0) | unit = e4))
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5214) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) (all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_112 = e4 & ( ~ (all_10_98 = e2)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5215) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5216) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_10_111 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4561), (5217) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) e4 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5218) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) e4 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5219) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) $false
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5220) is inconsistent.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) all_10_112 = e4 & ( ~ (all_10_98 = e2) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5221) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) all_10_112 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5107), (5222) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) e4 = e3
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5223) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) $false
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5224) is inconsistent.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) (all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_114 = e4 & ( ~ (all_10_106 =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4))
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5225) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5226) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) all_10_113 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5026), (5227) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) e4 = e2
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5228) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) $false
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5229) is inconsistent.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) all_10_114 = e4 & ( ~ (all_10_106 = e0) | unit =
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (577), (5230) are inconsistent by sub-proof
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) all_6_12 = e2 | all_6_12 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (5231) are inconsistent by
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #272.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (4591), (5094), (5232) are
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (5028), (5233) are
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_6_3 = e2 | all_6_3 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (4990), (5234) are inconsistent by
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (5052), (5075), (5235) are
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) all_8_20 = e3
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (5236) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) e4 = e3
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5237) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) $false
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5238) is inconsistent.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5239) ~ (all_8_0 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (5239) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5241) ~ (all_4_0 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5240) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_8_1 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4986), (5242) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) e2 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5243) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) e2 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5012), (5244) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_10_94 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (43), (49), (62), (158), (159), (162), (201),
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (220), (337), (438), (444), (452), (473), (478),
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (490), (493), (495), (541), (556), (557), (562),
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (563), (564), (570), (579), (582), (672), (4567),
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4574), (4575), (4591), (4986), (4987), (4994),
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (4995), (5033), (5241), (5245) are inconsistent by
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5246) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) all_8_4 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (4575), (5247) are inconsistent by
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) all_8_9 = e0 | all_8_16 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (438), (577), (5034), (5248) are
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (5249) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (4567), (5249) are
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | (5250) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | all_6_8 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5250) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5251) all_6_8 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5251) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5252) all_4_16 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (5252) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5253) all_10_96 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (5252) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5254) ~ (all_4_11 = e4)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (5252) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5255) op(e4, e3) = all_10_14
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (596), (5252) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | (5256) op(e4, e1) = all_10_15
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5257) all_6_7 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5257) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5258) all_4_11 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5258) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5259) all_4_11 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (5259) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5260) ~ (all_4_12 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5260) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5261) ~ (all_4_12 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5259) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5262) ~ (all_4_13 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5262) implies:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5263) ~ (all_4_13 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5254), (5259) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5264) ~ (e4 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (5259) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5265) ~ (e2 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4567), (5259) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5266) ~ (e1 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | all_10_15, e1, e4, simplifying with (123), (5256)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5267) all_10_15 = all_4_15
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e4, simplifying with (4993), (5255)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | (5268) all_10_14 = e2
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | (5269) all_6_16 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5269) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | (5270) all_4_8 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (5270) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | (5271) all_10_103 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5270) imply:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | (5272) ~ (all_4_3 = e0)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (5273) all_6_15 = e0
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (5272), (5273) are inconsistent by
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5274) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5275) all_6_15 = e4
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (5275) are inconsistent by sub-proof
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) ~ (all_10_15 = e3)
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5267), (5277) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) ~ (all_4_15 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_6_3 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5279) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) all_4_15 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (5280) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) ~ (all_4_0 = e0)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) all_6_0 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5282) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) all_4_0 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5281), (5283) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5284) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5276) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) all_6_15 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (5286) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) all_4_3 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5287) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_4_3 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5288) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) ~ (all_4_0 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (546), (4579), (5013), (5285), (5289) are
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) all_6_15 = e2 | all_6_15 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (552), (5027), (5290) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #214.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (568), (4990), (5278), (5291) are
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_10_14 = e1 | all_10_96 = all_10_103
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5292) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_10_14 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5268), (5293) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) e2 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5294) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5295) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_10_96 = all_10_103
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5253), (5296) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_10_103 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5297) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) all_10_103 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (5271), (5298) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | (5299) ~ (all_6_16 = e0)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | (5300) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (5299) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | (5301) ~ (all_4_8 = e0)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5300) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_6_16 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5302) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_4_8 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (5303) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | (5304) ~ (all_4_13 = e4)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5304) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | (5305) ~ (all_4_13 = e4)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_8_12 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (5306) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_4_3 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5307) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_4_3 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5308) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5309) ~ (all_4_0 = e0)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_6_0 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5310) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_4_0 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5309), (5311) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5312) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_6_17 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5314) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_4_13 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5263), (5315) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5316) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5317) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) all_6_17 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5318) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) all_4_13 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5305), (5319) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5320) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_8_0 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5322) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) all_4_0 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5323) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_4_0 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (5324) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) all_10_110 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5321) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) all_6_17 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5326) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) all_4_13 = e3
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (5327) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) ~ (all_4_12 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) all_6_12 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (5261), (5329) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #274.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5330) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_6_12 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (495), (5331) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_4_12 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5332) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_4_12 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (5333) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_10_112 = e4
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5335) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5336) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) ~ (all_10_112 = e4)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5334), (5337) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5338) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5339) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) ~ (all_10_110 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5325), (5340) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5341) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5342) gives:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5343) implies:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) ~ (all_10_113 = e2)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5026), (5344) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) $false
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5345) is inconsistent.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (4561), (5346) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (495), (564), (672), (5328), (5347) are
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #271.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_6_17 = e2 | all_6_17 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (5348) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) ~ (all_8_0 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (5349) imply:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) ~ (all_4_0 = e3)
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (546), (4579), (5013), (5313), (5350) are
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5351) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (374), (458), (462), (541), (581), (582), (583),
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | (5022), (5263), (5301), (5351) are inconsistent by
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | (5352) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (558), (559), (5028), (5352) are
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135.
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | |
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.63/11.07 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.07 | | | | | | | | | | | | | | | | | | | | | | (5353) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (4567), (5254), (5353) are
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199.
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | (5354) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (569), (570), (5016), (5354) are
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #142.
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | (5355) all_8_23 = e2
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5355) imply:
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | (5356) e2 = e1
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | SIMP: (5356) implies:
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | (5357) e2 = e1
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5357) imply:
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | (5358) $false
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | | CLOSE: (5358) is inconsistent.
% 74.82/11.08 | | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | (5359) all_6_5 = e1
% 74.82/11.08 | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | | REF_CLOSE: (486), (4564), (5359) are inconsistent by
% 74.82/11.08 | | | | | | | | | | | | | | | sub-proof #204.
% 74.82/11.08 | | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | (5360) all_6_1 = e1
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | REF_CLOSE: (485), (4580), (5360) are inconsistent by
% 74.82/11.08 | | | | | | | | | | | sub-proof #80.
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | End of split
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | End of split
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | End of split
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | Case 2:
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | (5361) ~ (all_8_6 = e1)
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | REDUCE: (447), (5361) imply:
% 74.82/11.08 | | | | | | | (5362) ~ (all_4_2 = e1)
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | BETA: splitting (221) gives:
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | (5363) all_8_0 = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REF_CLOSE: (473), (4579), (5363) are inconsistent by sub-proof
% 74.82/11.08 | | | | | | | | #15.
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | (5364) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20
% 74.82/11.08 | | | | | | | | = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REF_CLOSE: (439), (447), (456), (464), (552), (576), (4564),
% 74.82/11.08 | | | | | | | | (5362), (5364) are inconsistent by sub-proof #14.
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | End of split
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | End of split
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | Case 2:
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | (5365) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 =
% 74.82/11.08 | | | | | | e1
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REF_CLOSE: (374), (442), (477), (542), (566), (581), (672), (4567),
% 74.82/11.08 | | | | | | (5365) are inconsistent by sub-proof #170.
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | End of split
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | Case 2:
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | (5366) all_10_96 = e3
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | COMBINE_EQS: (405), (5366) imply:
% 74.82/11.08 | | | | | (5367) all_4_16 = e3
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | SIMP: (5367) implies:
% 74.82/11.08 | | | | | (5368) all_4_16 = e3
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | REDUCE: (570), (5368) imply:
% 74.82/11.08 | | | | | (5369) $false
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | CLOSE: (5369) is inconsistent.
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | End of split
% 74.82/11.08 | | | |
% 74.82/11.08 | | | End of split
% 74.82/11.08 | | |
% 74.82/11.08 | | End of split
% 74.82/11.08 | |
% 74.82/11.08 | Case 2:
% 74.82/11.08 | |
% 74.82/11.08 | | (5370) all_10_112 = e1
% 74.82/11.08 | |
% 74.82/11.08 | | COMBINE_EQS: (392), (5370) imply:
% 74.82/11.08 | | (5371) all_4_12 = e1
% 74.82/11.08 | |
% 74.82/11.08 | | COMBINE_EQS: (477), (5371) imply:
% 74.82/11.08 | | (5372) all_8_8 = e1
% 74.82/11.08 | |
% 74.82/11.08 | | REDUCE: (84), (5371) imply:
% 74.82/11.08 | | (5373) ~ (all_4_2 = e1)
% 74.82/11.08 | |
% 74.82/11.08 | | REDUCE: (62), (5371) imply:
% 74.82/11.08 | | (5374) ~ (all_4_7 = e1)
% 74.82/11.08 | |
% 74.82/11.08 | | REDUCE: (44), (5371) imply:
% 74.82/11.08 | | (5375) ~ (all_4_13 = e1)
% 74.82/11.08 | |
% 74.82/11.08 | | REDUCE: (43), (5371) imply:
% 74.82/11.08 | | (5376) ~ (all_4_17 = e1)
% 74.82/11.08 | |
% 74.82/11.08 | | REDUCE: (564), (5371) imply:
% 74.82/11.08 | | (5377) ~ (e2 = e1)
% 74.82/11.08 | |
% 74.82/11.08 | | BETA: splitting (324) gives:
% 74.82/11.08 | |
% 74.82/11.08 | | Case 1:
% 74.82/11.08 | | |
% 74.82/11.08 | | | (5378) ~ (all_10_112 = e1)
% 74.82/11.08 | | |
% 74.82/11.08 | | | REDUCE: (5370), (5378) imply:
% 74.82/11.08 | | | (5379) $false
% 74.82/11.08 | | |
% 74.82/11.08 | | | CLOSE: (5379) is inconsistent.
% 74.82/11.08 | | |
% 74.82/11.08 | | Case 2:
% 74.82/11.08 | | |
% 74.82/11.08 | | | (5380) ~ (all_10_113 = e2) | all_10_100 = e2
% 74.82/11.08 | | |
% 74.82/11.08 | | | BETA: splitting (5380) gives:
% 74.82/11.08 | | |
% 74.82/11.08 | | | Case 1:
% 74.82/11.08 | | | |
% 74.82/11.08 | | | | (5381) ~ (all_10_113 = e2)
% 74.82/11.08 | | | |
% 74.82/11.08 | | | | REDUCE: (373), (5381) imply:
% 74.82/11.08 | | | | (5382) ~ (all_4_18 = e2)
% 74.82/11.08 | | | |
% 74.82/11.08 | | | | BETA: splitting (325) gives:
% 74.82/11.08 | | | |
% 74.82/11.08 | | | | Case 1:
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | (5383) ~ (all_10_111 = e1)
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | REDUCE: (411), (5383) imply:
% 74.82/11.08 | | | | | (5384) ~ (all_4_6 = e1)
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | BETA: splitting (216) gives:
% 74.82/11.08 | | | | |
% 74.82/11.08 | | | | | Case 1:
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | (5385) all_8_1 = e1
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | COMBINE_EQS: (432), (5385) imply:
% 74.82/11.08 | | | | | | (5386) all_4_5 = e1
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | SIMP: (5386) implies:
% 74.82/11.08 | | | | | | (5387) all_4_5 = e1
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | COMBINE_EQS: (427), (5387) imply:
% 74.82/11.08 | | | | | | (5388) all_10_90 = e1
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (98), (5387) imply:
% 74.82/11.08 | | | | | | (5389) ~ (all_4_0 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (75), (5387) imply:
% 74.82/11.08 | | | | | | (5390) ~ (all_4_7 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (74), (5387) imply:
% 74.82/11.08 | | | | | | (5391) ~ (all_4_8 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (72), (5387) imply:
% 74.82/11.08 | | | | | | (5392) ~ (all_4_10 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | SIMP: (5392) implies:
% 74.82/11.08 | | | | | | (5393) ~ (all_4_10 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (71), (5387) imply:
% 74.82/11.08 | | | | | | (5394) ~ (all_4_15 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (554), (5387) imply:
% 74.82/11.08 | | | | | | (5395) ~ (e4 = e1)
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (615), (5387) imply:
% 74.82/11.08 | | | | | | (5396) op(e4, e1) = all_10_55
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | REDUCE: (623), (5387) imply:
% 74.82/11.08 | | | | | | (5397) op(e3, e1) = all_10_54
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | BETA: splitting (221) gives:
% 74.82/11.08 | | | | | |
% 74.82/11.08 | | | | | | Case 1:
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | (5398) all_8_0 = e1
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | REF_CLOSE: (473), (5389), (5398) are inconsistent by sub-proof
% 74.82/11.08 | | | | | | | #15.
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | Case 2:
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | (5399) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20 =
% 74.82/11.08 | | | | | | | e1
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | BETA: splitting (5399) gives:
% 74.82/11.08 | | | | | | |
% 74.82/11.08 | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | (5400) all_8_2 = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | COMBINE_EQS: (439), (5400) imply:
% 74.82/11.08 | | | | | | | | (5401) all_4_1 = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | SIMP: (5401) implies:
% 74.82/11.08 | | | | | | | | (5402) all_4_1 = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | COMBINE_EQS: (414), (5402) imply:
% 74.82/11.08 | | | | | | | | (5403) all_10_94 = e1
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (94), (5402) imply:
% 74.82/11.08 | | | | | | | | (5404) ~ (all_4_2 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (93), (5402) imply:
% 74.82/11.08 | | | | | | | | (5405) ~ (all_4_3 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (91), (5402) imply:
% 74.82/11.08 | | | | | | | | (5406) ~ (all_4_6 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (90), (5402) imply:
% 74.82/11.08 | | | | | | | | (5407) ~ (all_4_11 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | SIMP: (5407) implies:
% 74.82/11.08 | | | | | | | | (5408) ~ (all_4_11 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (89), (5402) imply:
% 74.82/11.08 | | | | | | | | (5409) ~ (all_4_16 = e1)
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (619), (5402) imply:
% 74.82/11.08 | | | | | | | | (5410) op(e4, e1) = all_10_46
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | REDUCE: (624), (5402) imply:
% 74.82/11.08 | | | | | | | | (5411) op(e3, e1) = all_10_47
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 74.82/11.08 | | | | | | | | all_10_47, e1, e3, simplifying with (118), (5411)
% 74.82/11.08 | | | | | | | | gives:
% 74.82/11.08 | | | | | | | | (5412) all_10_47 = all_4_16
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 74.82/11.08 | | | | | | | | all_10_47, e1, e3, simplifying with (5397), (5411)
% 74.82/11.08 | | | | | | | | gives:
% 74.82/11.08 | | | | | | | | (5413) all_10_47 = all_10_54
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15,
% 74.82/11.08 | | | | | | | | all_10_46, e1, e4, simplifying with (123), (5410)
% 74.82/11.08 | | | | | | | | gives:
% 74.82/11.08 | | | | | | | | (5414) all_10_46 = all_4_15
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_55,
% 74.82/11.08 | | | | | | | | all_10_46, e1, e4, simplifying with (5396), (5410)
% 74.82/11.08 | | | | | | | | gives:
% 74.82/11.08 | | | | | | | | (5415) all_10_46 = all_10_55
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | COMBINE_EQS: (5414), (5415) imply:
% 74.82/11.08 | | | | | | | | (5416) all_10_55 = all_4_15
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | COMBINE_EQS: (5412), (5413) imply:
% 74.82/11.08 | | | | | | | | (5417) all_10_54 = all_4_16
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | BETA: splitting (160) gives:
% 74.82/11.08 | | | | | | | |
% 74.82/11.08 | | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | (5418) all_6_10 = e0
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | COMBINE_EQS: (491), (5418) imply:
% 74.82/11.08 | | | | | | | | | (5419) all_4_2 = e0
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (100), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5420) ~ (all_4_0 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (87), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5421) ~ (all_4_3 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | SIMP: (5421) implies:
% 74.82/11.08 | | | | | | | | | (5422) ~ (all_4_3 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (85), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5423) ~ (all_4_7 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | SIMP: (5423) implies:
% 74.82/11.08 | | | | | | | | | (5424) ~ (all_4_7 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (83), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5425) ~ (all_4_17 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | SIMP: (5425) implies:
% 74.82/11.08 | | | | | | | | | (5426) ~ (all_4_17 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (550), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5427) ~ (e2 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | REDUCE: (5373), (5419) imply:
% 74.82/11.08 | | | | | | | | | (5428) ~ (e1 = e0)
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | BETA: splitting (159) gives:
% 74.82/11.08 | | | | | | | | |
% 74.82/11.08 | | | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | (5429) all_6_11 = e0
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | COMBINE_EQS: (493), (5429) imply:
% 74.82/11.08 | | | | | | | | | | (5430) all_4_7 = e0
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | REDUCE: (5424), (5430) imply:
% 74.82/11.08 | | | | | | | | | | (5431) $false
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | CLOSE: (5431) is inconsistent.
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | (5432) ~ (all_6_11 = e0)
% 74.82/11.08 | | | | | | | | | | (5433) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.82/11.08 | | | | | | | | | | all_6_11 = e1
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | BETA: splitting (5433) gives:
% 74.82/11.08 | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | (5434) all_6_11 = e4
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | COMBINE_EQS: (493), (5434) imply:
% 74.82/11.08 | | | | | | | | | | | (5435) all_4_7 = e4
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | COMBINE_EQS: (449), (5435) imply:
% 74.82/11.08 | | | | | | | | | | | (5436) all_8_7 = e4
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | REDUCE: (61), (5435) imply:
% 74.82/11.08 | | | | | | | | | | | (5437) ~ (all_4_17 = e4)
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | SIMP: (5437) implies:
% 74.82/11.08 | | | | | | | | | | | (5438) ~ (all_4_17 = e4)
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | BETA: splitting (157) gives:
% 74.82/11.08 | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | (5439) all_6_13 = e0
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | COMBINE_EQS: (500), (5439) imply:
% 74.82/11.08 | | | | | | | | | | | | (5440) all_4_17 = e0
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | REDUCE: (5426), (5440) imply:
% 74.82/11.08 | | | | | | | | | | | | (5441) $false
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | CLOSE: (5441) is inconsistent.
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | Case 2:
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | (5442) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 74.82/11.08 | | | | | | | | | | | | all_6_13 = e1
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | BETA: splitting (5442) gives:
% 74.82/11.08 | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | Case 1:
% 74.82/11.08 | | | | | | | | | | | | |
% 74.82/11.08 | | | | | | | | | | | | | (5443) all_6_13 = e4
% 74.82/11.08 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | COMBINE_EQS: (500), (5443) imply:
% 74.82/11.09 | | | | | | | | | | | | | (5444) all_4_17 = e4
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | REDUCE: (5438), (5444) imply:
% 74.82/11.09 | | | | | | | | | | | | | (5445) $false
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | CLOSE: (5445) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | (5446) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | BETA: splitting (5446) gives:
% 74.82/11.09 | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | (5447) all_6_13 = e3
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | COMBINE_EQS: (500), (5447) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5448) all_4_17 = e3
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | COMBINE_EQS: (452), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5449) all_8_11 = e3
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | COMBINE_EQS: (389), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5450) all_10_100 = e3
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | REDUCE: (37), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5451) ~ (all_4_15 = e3)
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | REDUCE: (29), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5452) ~ (all_4_18 = e3)
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | SIMP: (5452) implies:
% 74.82/11.09 | | | | | | | | | | | | | | (5453) ~ (all_4_18 = e3)
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | REDUCE: (601), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5454) op(e3, e2) = all_10_23
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | REDUCE: (602), (5448) imply:
% 74.82/11.09 | | | | | | | | | | | | | | (5455) op(e3, e1) = all_10_24
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16,
% 74.82/11.09 | | | | | | | | | | | | | | all_10_24, e1, e3, simplifying with (118), (5455)
% 74.82/11.09 | | | | | | | | | | | | | | gives:
% 74.82/11.09 | | | | | | | | | | | | | | (5456) all_10_24 = all_4_16
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11,
% 74.82/11.09 | | | | | | | | | | | | | | all_10_23, e2, e3, simplifying with (119), (5454)
% 74.82/11.09 | | | | | | | | | | | | | | gives:
% 74.82/11.09 | | | | | | | | | | | | | | (5457) all_10_23 = all_4_11
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.82/11.09 | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | (5458) all_6_7 = e0
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5458) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | (5459) all_4_11 = e0
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | SIMP: (5459) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | (5460) all_4_11 = e0
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | COMBINE_EQS: (442), (5460) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | (5461) all_8_5 = e0
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | REDUCE: (55), (5460) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | (5462) ~ (all_4_10 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | (5463) all_8_0 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | REF_CLOSE: (473), (5420), (5463) are inconsistent by
% 74.82/11.09 | | | | | | | | | | | | | | | | sub-proof #52.
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | (5464) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 74.82/11.09 | | | | | | | | | | | | | | | | all_8_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | BETA: splitting (5464) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | (5465) all_8_1 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5385), (5465) are inconsistent by
% 74.82/11.09 | | | | | | | | | | | | | | | | | sub-proof #13.
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | (5466) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | BETA: splitting (5466) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | (5467) all_8_4 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (5462), (5467) are inconsistent by
% 74.82/11.09 | | | | | | | | | | | | | | | | | | sub-proof #185.
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | (5468) all_8_9 = e0 | all_8_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5469) all_8_4 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (433), (561), (5469) are inconsistent by sub-proof
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | #53.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5470) all_8_5 = e4 | all_8_8 = e4 | all_8_14 = e4 |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | all_8_22 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (5470) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5471) all_8_5 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5461), (5471) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5472) e4 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5472) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5473) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | CLOSE: (5473) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5474) ~ (all_8_5 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5475) all_8_8 = e4 | all_8_14 = e4 | all_8_22 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | REDUCE: (5461), (5474) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5476) ~ (e4 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5475) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5477) all_8_8 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5372), (5477) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5478) e4 = e1
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5478) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5479) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5479) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5480) all_8_14 = e4 | all_8_22 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5468) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5481) all_8_9 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5481) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5482) all_4_15 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5482) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5483) all_4_15 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5483) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5484) ~ (all_4_18 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5484) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5485) ~ (all_4_18 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5480) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5486) all_8_14 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (5486) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5487) all_4_13 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5487) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5488) all_4_13 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (5488) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5489) ~ (all_4_18 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5489) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5490) ~ (all_4_18 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_6_18 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (5491) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5492) all_4_18 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5485), (5492) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5493) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5493) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5494) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (5382), (5453), (5490), (5494) are
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #50.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5495) all_8_22 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (5495) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5496) e4 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5496) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5497) e4 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5497) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5498) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5498) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5499) all_8_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (577), (5499) are inconsistent by sub-proof
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | #74.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | End of split
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | (5500) ~ (all_6_7 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | (5501) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.82/11.09 | | | | | | | | | | | | | | | all_6_7 = e1
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | REDUCE: (490), (5500) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | (5502) ~ (all_4_11 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | BETA: splitting (5501) gives:
% 74.82/11.09 | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | (5503) all_6_7 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5503) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5504) all_4_11 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | SIMP: (5504) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5505) all_4_11 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (5505) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5506) all_8_5 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | COMBINE_EQS: (5457), (5505) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5507) all_10_23 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | REDUCE: (67), (5505) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5508) ~ (all_4_6 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | REDUCE: (46), (5505) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5509) ~ (all_4_16 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | SIMP: (5509) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | (5510) ~ (all_4_16 = e4)
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | (5511) all_8_9 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (568), (5511) are inconsistent by sub-proof
% 74.82/11.09 | | | | | | | | | | | | | | | | | #98.
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | (5512) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 74.82/11.09 | | | | | | | | | | | | | | | | | all_8_23 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | BETA: splitting (5512) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | (5513) all_8_10 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (5510), (5513) are inconsistent by
% 74.82/11.09 | | | | | | | | | | | | | | | | | | sub-proof #78.
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | (5514) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | BETA: splitting (5514) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5515) all_8_11 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5449), (5515) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5516) e4 = e3
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5516) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5517) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | CLOSE: (5517) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | (5518) all_8_15 = e4 | all_8_23 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5519) all_8_15 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5519) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5520) all_4_18 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | SIMP: (5520) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5521) all_4_18 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (5521) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | (5522) all_10_113 = e4
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5523) all_6_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5523) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5524) all_4_8 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (5524) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5525) all_8_13 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (5524) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5526) ~ (all_4_6 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5524) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | (5527) ~ (e3 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5528) all_8_1 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5385), (5528) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5529) e2 = e1
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5529) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5530) $false
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5530) is inconsistent.
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | (5531) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5531) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5532) all_8_3 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (5532) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5533) all_4_6 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5533) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5534) all_4_6 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5534) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5535) all_10_111 = e2
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (5534) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5536) ~ (all_4_16 = e2)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5536) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5537) ~ (all_4_16 = e2)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5508), (5534) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5538) ~ (e4 = e2)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (5534) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | (5539) ~ (e3 = e2)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5540) all_6_8 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5540) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5541) all_4_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5541) implies:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5542) all_4_16 = e0
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (5542) imply:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | (5543) ~ (all_4_15 = e0)
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | (5544) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5544) gives:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5545) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5545) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5546) ~ (all_10_113 = e4)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5522), (5546) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5547) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5547) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5548) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5548) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5549) ~ (all_10_110 = e3)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (430), (5549) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5550) ~ (all_4_0 = e3)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (96), (165), (168), (223), (473), (483), (497),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (546), (567), (568), (5389), (5420), (5451),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5543), (5550) are inconsistent by sub-proof #32.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5551) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5551) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5552) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5552) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5553) ~ (all_10_111 = e2)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5535), (5553) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5554) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5554) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5555) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (5370), (5555) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5556) ~ (all_6_8 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (211), (213), (442), (444), (446), (498), (575),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (578), (580), (581), (582), (583), (5400), (5502),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5506), (5537), (5556) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | (5557) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5557) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5558) all_8_7 = e2
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (575), (5436), (5558) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5559) all_8_13 = e2 | all_8_21 = e2
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (582), (5525), (5559) are
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #195.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | (5560) ~ (all_6_16 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (5560) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | (5561) ~ (all_4_8 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | (5562) all_8_12 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (5562) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | (5563) all_4_3 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5563) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | (5564) all_4_3 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5422), (5564) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | (5565) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5565) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | (5566) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5566) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | (5567) all_8_13 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (5561), (5567) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #161.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | (5568) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5568) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5569) all_8_14 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (5569) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5570) all_4_13 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5570) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5571) all_4_13 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (5571) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5572) all_10_104 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (53), (5571) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5573) ~ (all_4_10 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5574) all_8_4 = e3
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (433), (5574) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5575) all_4_10 = e3
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5575) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5576) all_4_10 = e3
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5577) ~ (all_10_24 = e2)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5456), (5577) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5578) ~ (all_4_16 = e2)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (161) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5579) all_6_8 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5579) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5580) all_4_16 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5580) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5581) all_4_16 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (5581) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5582) ~ (all_4_15 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5510), (5581) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5583) ~ (e4 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (5581) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5584) ~ (e3 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (220), (435), (438), (473), (577), (580), (583),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385), (5420), (5574), (5582) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5585) ~ (all_6_8 = e0)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (211), (213), (442), (444), (446), (498), (575),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (580), (581), (582), (583), (5400), (5502),
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506), (5578), (5585) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5586) all_10_23 = e1 | all_10_100 = all_10_104
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5586) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5587) all_10_23 = e1
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5507), (5587) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5588) e4 = e1
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5588) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5589) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5589) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5590) all_10_100 = all_10_104
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5450), (5590) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5591) all_10_104 = e3
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5591) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5592) all_10_104 = e3
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5572), (5592) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5593) e3 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5593) implies:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5594) e3 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5594) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5595) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5595) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5596) ~ (all_8_4 = e3)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (433), (5596) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5597) ~ (all_4_10 = e3)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (166), (488), (560), (561), (5393), (5573), (5597)
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #108.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | (5598) all_8_15 = e0 | all_8_19 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5598) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5599) all_8_15 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5518) gives:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5519), (5599) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5600) e4 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (5600) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5601) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5601) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5602) all_8_23 = e4
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (5602) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5603) e4 = e1
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (5603) imply:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (5604) $false
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5604) is inconsistent.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | (5605) all_8_19 = e0
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (583), (5605) are inconsistent by sub-proof
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | #228.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | (5606) all_8_23 = e4
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (576), (5606) are inconsistent by sub-proof
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | | #97.
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | (5607) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 74.82/11.10 | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (5408), (5607) are
% 74.82/11.10 | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 74.82/11.10 | | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | (5608) all_6_13 = e2 | all_6_13 = e1
% 74.82/11.10 | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (5608) are inconsistent by
% 74.82/11.10 | | | | | | | | | | | | | | sub-proof #233.
% 74.82/11.10 | | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | (5609) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (5374), (5609) are
% 74.82/11.10 | | | | | | | | | | | inconsistent by sub-proof #253.
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | End of split
% 74.82/11.10 | | | | | | | | |
% 74.82/11.10 | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | |
% 74.82/11.10 | | | | | | | | | (5610) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 |
% 74.82/11.10 | | | | | | | | | all_6_10 = e1
% 74.82/11.10 | | | | | | | | |
% 74.82/11.10 | | | | | | | | | BETA: splitting (5610) gives:
% 74.82/11.10 | | | | | | | | |
% 74.82/11.10 | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | (5611) all_6_10 = e4
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | COMBINE_EQS: (491), (5611) imply:
% 74.82/11.10 | | | | | | | | | | (5612) all_4_2 = e4
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | REDUCE: (549), (5612) imply:
% 74.82/11.10 | | | | | | | | | | (5613) $false
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | CLOSE: (5613) is inconsistent.
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | Case 2:
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | (5614) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | BETA: splitting (5614) gives:
% 74.82/11.10 | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | (5615) all_6_10 = e3
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | COMBINE_EQS: (491), (5615) imply:
% 74.82/11.10 | | | | | | | | | | | (5616) all_4_2 = e3
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | COMBINE_EQS: (447), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5617) all_8_6 = e3
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | COMBINE_EQS: (398), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5618) all_10_98 = e3
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | REDUCE: (100), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5619) ~ (all_4_0 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | REDUCE: (87), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5620) ~ (all_4_3 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | SIMP: (5620) implies:
% 74.82/11.10 | | | | | | | | | | | (5621) ~ (all_4_3 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | REDUCE: (85), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5622) ~ (all_4_7 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | REDUCE: (83), (5616) imply:
% 74.82/11.10 | | | | | | | | | | | (5623) ~ (all_4_17 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | SIMP: (5623) implies:
% 74.82/11.10 | | | | | | | | | | | (5624) ~ (all_4_17 = e3)
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | BETA: splitting (166) gives:
% 74.82/11.10 | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | Case 1:
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | (5625) all_6_2 = e0
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | COMBINE_EQS: (488), (5625) imply:
% 74.82/11.10 | | | | | | | | | | | | (5626) all_4_10 = e0
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | SIMP: (5626) implies:
% 74.82/11.10 | | | | | | | | | | | | (5627) all_4_10 = e0
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | COMBINE_EQS: (424), (5627) imply:
% 74.82/11.10 | | | | | | | | | | | | (5628) all_10_91 = e0
% 74.82/11.10 | | | | | | | | | | | |
% 74.82/11.10 | | | | | | | | | | | | REDUCE: (97), (5627) imply:
% 74.82/11.10 | | | | | | | | | | | | (5629) ~ (all_4_0 = e0)
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | REDUCE: (55), (5627) imply:
% 74.82/11.11 | | | | | | | | | | | | (5630) ~ (all_4_11 = e0)
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | SIMP: (5630) implies:
% 74.82/11.11 | | | | | | | | | | | | (5631) ~ (all_4_11 = e0)
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | REDUCE: (53), (5627) imply:
% 74.82/11.11 | | | | | | | | | | | | (5632) ~ (all_4_13 = e0)
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | SIMP: (5632) implies:
% 74.82/11.11 | | | | | | | | | | | | (5633) ~ (all_4_13 = e0)
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.82/11.11 | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | (5634) all_6_7 = e0
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | REF_CLOSE: (490), (5631), (5634) are inconsistent by
% 74.82/11.11 | | | | | | | | | | | | | sub-proof #276.
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | (5635) ~ (all_6_7 = e0)
% 74.82/11.11 | | | | | | | | | | | | | (5636) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | all_6_7 = e1
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | BETA: splitting (168) gives:
% 74.82/11.11 | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | (5637) all_6_0 = e0
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | COMBINE_EQS: (483), (5637) imply:
% 74.82/11.11 | | | | | | | | | | | | | | (5638) all_4_0 = e0
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | REDUCE: (5629), (5638) imply:
% 74.82/11.11 | | | | | | | | | | | | | | (5639) $false
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | CLOSE: (5639) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | (5640) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | all_6_0 = e1
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | BETA: splitting (5640) gives:
% 74.82/11.11 | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | (5641) all_6_0 = e4
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5641) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | (5642) all_4_0 = e4
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | REDUCE: (546), (5642) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | (5643) $false
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | CLOSE: (5643) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | (5644) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | BETA: splitting (5636) gives:
% 74.82/11.11 | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | (5645) all_6_7 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5645) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | (5646) all_4_11 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | SIMP: (5646) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | (5647) all_4_11 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (5647) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | (5648) all_10_95 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | REDUCE: (48), (5647) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | (5649) ~ (all_4_13 = e4)
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | SIMP: (5649) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | (5650) ~ (all_4_13 = e4)
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | (5651) all_6_17 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (5633), (5651) are inconsistent by
% 74.82/11.11 | | | | | | | | | | | | | | | | | sub-proof #148.
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | (5652) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | all_6_17 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | BETA: splitting (5652) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | (5653) all_6_17 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (5650), (5653) are inconsistent by
% 74.82/11.11 | | | | | | | | | | | | | | | | | | sub-proof #176.
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | (5654) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | BETA: splitting (5644) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | (5655) all_6_0 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5655) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | (5656) all_4_0 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | SIMP: (5656) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | (5657) all_4_0 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | REDUCE: (5619), (5657) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | (5658) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | CLOSE: (5658) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | (5659) all_6_0 = e2 | all_6_0 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | BETA: splitting (5659) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5660) all_6_0 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5660) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5661) all_4_0 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | SIMP: (5661) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5662) all_4_0 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (5662) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5663) all_10_110 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5662) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5664) ~ (all_4_3 = e2)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | SIMP: (5664) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | (5665) ~ (all_4_3 = e2)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5666) all_6_15 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (5666) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5667) all_4_3 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (5667) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5668) all_8_12 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (5667) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5669) all_10_102 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5667) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5670) ~ (all_4_8 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (5670) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5671) ~ (all_4_8 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (5667) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5672) ~ (all_4_18 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | SIMP: (5672) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5673) ~ (all_4_18 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5665), (5667) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | (5674) ~ (e2 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5654) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | (5675) all_6_17 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5675) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | (5676) all_4_13 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (5676) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | (5677) ~ (all_4_18 = e3)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5677) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | (5678) ~ (all_4_18 = e3)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | (5679) all_8_12 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5668), (5679) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | (5680) e2 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (5680) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | (5681) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5681) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | (5682) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | (5683) all_6_18 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5673), (5683) are inconsistent by
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5684) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_6_18 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (5685) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_4_18 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5686) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5687) all_4_18 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (5687) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5688) all_10_113 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (5687) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | (5689) ~ (all_4_17 = e4)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_6_13 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5690) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_4_17 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5691) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) all_10_100 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (5691) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) ~ (all_4_7 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (5691) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) ~ (all_4_16 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5624), (5691) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) ~ (e3 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (5691) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) ~ (e1 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_6_11 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (5697) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_4_7 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5693), (5698) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5699) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5700) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) all_6_11 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (5701) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) all_4_7 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (395), (5702) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_10_99 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (5702) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) ~ (all_4_8 = e4)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5704) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) ~ (all_4_8 = e4)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) all_8_2 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5400), (5706) are inconsistent by
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) ~ (all_8_2 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_6_16 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5709) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) all_4_8 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5671), (5710) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5711) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) ~ (all_6_16 = e0)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5713) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_6_16 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5714) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_4_8 = e4
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5705), (5715) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5716) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5717) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) all_6_16 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5718) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) all_4_8 = e3
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5719) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) $false
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5720) is inconsistent.
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) ~ (all_6_16 = e3)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_6_16 = e2 | all_6_16 = e1
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5682) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) all_8_13 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (5723) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) all_4_8 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5724) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) all_4_8 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (5725) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_10_103 = e2
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5725) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) ~ (e3 = e2)
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5708) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_8_3 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (5728) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_4_6 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5729) implies:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) all_4_6 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (5730) imply:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) all_10_111 = e0
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3)) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3)) | (all_10_96 =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_111 = e1) | unit = e3)) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_98 = e3 & ( ~ (all_10_99 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_99 = e3 & unit = e3) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_101 = e3 & ( ~ (all_10_99 = e0)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5732) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3)) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5733) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) (all_10_90 = e3 & unit = e3) | (all_10_91 = e3 & (
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_90 = e2) | unit = e3)) | (all_10_92
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_90 = e1) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5734) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) all_10_90 = e3 & unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5735) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) all_10_90 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5388), (5737) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) e3 = e1
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5738) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) e3 = e1
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5736) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5739), (5740) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) e1 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (5741) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5742) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) (all_10_91 = e3 & ( ~ (all_10_90 = e2) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_92 = e3 & ( ~ (all_10_90 = e1)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5743) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) all_10_91 = e3 & ( ~ (all_10_90 = e2) | unit = e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5744) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) all_10_91 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5628), (5745) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5746) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5747) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5748) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) all_10_92 = e3 & ( ~ (all_10_90 = e1) | unit = e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5749) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) ~ (all_10_90 = e1) | unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5750) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) ~ (all_10_90 = e1)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5388), (5751) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5752) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5753) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5754) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5755) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) (all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_94 = e3 & ( ~ (all_10_111 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_95 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e2) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5756) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) all_10_93 = e3 & ( ~ (all_10_90 = e0) | unit = e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5757) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) all_10_93 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (5758) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) e4 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5759) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) e4 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5760) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5761) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) (all_10_94 = e3 & ( ~ (all_10_111 = e4) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_95 = e3 & ( ~ (all_10_111 = e2)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5762) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_10_94 = e3 & ( ~ (all_10_111 = e4) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5763) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) all_10_94 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5403), (5764) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) e3 = e1
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (5765) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5766) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_10_95 = e3 & ( ~ (all_10_111 = e2) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5767) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) all_10_95 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5648), (5768) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) e4 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5769) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) e4 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5770) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5771) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) (all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_97 = e3 & ( ~ (all_10_111 = e0)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_98 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4) | unit = e3)) | (all_10_99 =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & unit = e3) | (all_10_100 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e1) | unit = e3)) | (all_10_101 =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_99 = e0) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5772) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) (all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_97 = e3 & ( ~ (all_10_111 = e0)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3)) | (all_10_98 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5773) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_10_96 = e3 & ( ~ (all_10_111 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5774) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) all_10_96 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (405), (5775) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) all_4_16 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5776) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_4_16 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (5777) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5778) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) (all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_98 = e3 & ( ~ (all_10_99 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5779) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5731), (5780) are inconsistent by
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_10_98 = e3 & ( ~ (all_10_99 = e4) | unit = e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5781) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) ~ (all_10_99 = e4) | unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5782) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) ~ (all_10_99 = e4)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5703), (5783) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5784) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5785) are inconsistent by sub-proof
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #87.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) (all_10_99 = e3 & unit = e3) | (all_10_100 = e3 &
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e1) | unit = e3)) | (all_10_101
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_99 = e0) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5786) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_10_99 = e3 & unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5787) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) unit = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5788) are inconsistent by sub-proof
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) (all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_101 = e3 & ( ~ (all_10_99 = e0)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5789) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_10_100 = e3 & ( ~ (all_10_99 = e1) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5790) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_10_100 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5692), (5791) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5792) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) e3 = e0
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5793) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5794) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_10_101 = e3 & ( ~ (all_10_99 = e0) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5795) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) all_10_101 = e3
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (545), (5796) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) e3 = e2
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5797) implies:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) e3 = e2
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5798) imply:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) $false
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5799) is inconsistent.
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_105 = e3 & ( ~ (all_10_103 =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3)) | (all_10_106 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4) | unit = e3)) | (all_10_107
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & unit = e3) | (all_10_108 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e2) | unit = e3)) | (all_10_109
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_107 = e1) | unit = e3)) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e3 & ( ~ (all_10_90 = e4) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_111 = e3 & unit = e3) |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3 & ( ~ (all_10_99 = e2) | unit =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_113 = e3 & ( ~ (all_10_103 =
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_114 = e3 & ( ~
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e0) | unit = e3))
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5800) gives:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_105 = e3 & ( ~ (all_10_103 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3)) | (all_10_106 = e3 & ( ~
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4) | unit = e3)) | (all_10_107
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & unit = e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5801) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) (all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_103 = e3 & unit = e3) |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5802) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_10_102 = e3 & ( ~ (all_10_103 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5803) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) all_10_102 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5669), (5804) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) e3 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5805) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) e3 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5806) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5807) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) (all_10_103 = e3 & unit = e3) | (all_10_104 = e3 &
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_103 = e2) | unit = e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5808) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) all_10_103 = e3 & unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5809) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5810) unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5811) all_10_103 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5726), (5811) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5812) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5812) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5813) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (5810) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5814) e3 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5813), (5814) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5815) e2 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (5815) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5816) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5816) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5817) all_10_104 = e3 & ( ~ (all_10_103 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5817) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5818) ~ (all_10_103 = e2) | unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5818) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5819) ~ (all_10_103 = e2)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5726), (5819) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5820) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5820) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5821) unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5821) are inconsistent by sub-proof
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #87.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5822) (all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_106 = e3 & ( ~ (all_10_107 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) | unit = e3)) | (all_10_107 = e3 & unit
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5822) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5823) all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (579), (5823) are inconsistent by sub-proof
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5824) (all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_107 = e3 & unit = e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5824) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5825) all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (574), (5825) are inconsistent by sub-proof
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #83.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5826) all_10_107 = e3 & unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5826) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5827) unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5827) are inconsistent by sub-proof
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5828) (all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_109 = e3 & ( ~ (all_10_107 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_110 = e3 & ( ~
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_90 = e4) | unit = e3)) | (all_10_111 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & unit = e3) | (all_10_112 = e3 & ( ~
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e2) | unit = e3)) | (all_10_113 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ( ~ (all_10_103 = e1) | unit = e3)) |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5828) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5829) (all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_109 = e3 & ( ~ (all_10_107 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e3)) | (all_10_110 = e3 & ( ~
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_90 = e4) | unit = e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5829) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5830) all_10_108 = e3 & ( ~ (all_10_107 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5830) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5831) all_10_108 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (5831) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5832) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5832) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5833) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5833) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5834) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5834) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5835) (all_10_109 = e3 & ( ~ (all_10_107 = e1) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_110 = e3 & ( ~ (all_10_90 = e4)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5835) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5836) all_10_109 = e3 & ( ~ (all_10_107 = e1) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5836) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5837) all_10_109 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5837) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5838) e3 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5838) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5839) e3 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (5839) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5840) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5840) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5841) all_10_110 = e3 & ( ~ (all_10_90 = e4) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5841) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5842) all_10_110 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5663), (5842) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5843) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5843) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5844) e3 = e2
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5844) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5845) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5845) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5846) (all_10_111 = e3 & unit = e3) | (all_10_112 = e3 &
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e2) | unit = e3)) | (all_10_113
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3 & ( ~ (all_10_103 = e1) | unit = e3)) |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5846) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5847) (all_10_111 = e3 & unit = e3) | (all_10_112 = e3 &
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_99 = e2) | unit = e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5847) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5848) all_10_111 = e3 & unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5848) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5849) unit = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (580), (5849) are inconsistent by sub-proof
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #8.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5850) all_10_112 = e3 & ( ~ (all_10_99 = e2) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5850) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5851) all_10_112 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5370), (5851) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5852) e3 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5852) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5853) e3 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (5853) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5854) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5854) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5855) (all_10_113 = e3 & ( ~ (all_10_103 = e1) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)) | (all_10_114 = e3 & ( ~ (all_10_107 =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e3))
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5855) gives:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5856) all_10_113 = e3 & ( ~ (all_10_103 = e1) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5856) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5857) all_10_113 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5688), (5857) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5858) e4 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5858) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5859) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5859) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5860) all_10_114 = e3 & ( ~ (all_10_107 = e0) | unit =
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5860) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5861) all_10_114 = e3
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (350), (5861) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5862) e3 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5862) implies:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5863) e3 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5863) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5864) $false
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5864) is inconsistent.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5865) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (444), (446), (580), (5631), (5694), (5865)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #37.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5866) ~ (all_8_13 = e2)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (5866) imply:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5867) ~ (all_4_8 = e2)
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (559), (5722), (5867) are inconsistent by
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5868) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (5374), (5868) are
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #253.
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (5869) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 74.82/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (5624), (5689), (5869) are
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5870) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (573), (5382), (5678), (5870) are
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #172.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | (5871) all_6_17 = e2 | all_6_17 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (5871) are inconsistent by
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | sub-proof #175.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5872) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (552), (5621), (5665), (5872) are
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #213.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5873) all_6_0 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5873) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5874) all_4_0 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | SIMP: (5874) implies:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5875) all_4_0 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (5389), (5875) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5876) $false
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | CLOSE: (5876) is inconsistent.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | (5877) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (5408), (5877) are
% 74.82/11.14 | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | End of split
% 74.82/11.14 | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | (5878) ~ (all_6_2 = e0)
% 74.82/11.14 | | | | | | | | | | | | (5879) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 74.82/11.14 | | | | | | | | | | | | all_6_2 = e1
% 74.82/11.14 | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | REDUCE: (488), (5878) imply:
% 74.82/11.14 | | | | | | | | | | | | (5880) ~ (all_4_10 = e0)
% 74.82/11.14 | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | BETA: splitting (5879) gives:
% 74.82/11.14 | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | (5881) all_6_2 = e4
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | REF_CLOSE: (488), (561), (5881) are inconsistent by sub-proof
% 74.82/11.14 | | | | | | | | | | | | | #188.
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | (5882) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | BETA: splitting (5882) gives:
% 74.82/11.14 | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | (5883) all_6_2 = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | COMBINE_EQS: (488), (5883) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5884) all_4_10 = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | SIMP: (5884) implies:
% 74.82/11.14 | | | | | | | | | | | | | | (5885) all_4_10 = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | COMBINE_EQS: (433), (5885) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5886) all_8_4 = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | COMBINE_EQS: (424), (5885) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5887) all_10_91 = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | REDUCE: (55), (5885) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5888) ~ (all_4_11 = e3)
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | REDUCE: (51), (5885) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5889) ~ (all_4_15 = e3)
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | SIMP: (5889) implies:
% 74.82/11.14 | | | | | | | | | | | | | | (5890) ~ (all_4_15 = e3)
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | REDUCE: (124), (5885) imply:
% 74.82/11.14 | | | | | | | | | | | | | | (5891) op(e4, e2) = e3
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 74.82/11.14 | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | (5892) all_8_9 = e3
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | REF_CLOSE: (435), (5890), (5892) are inconsistent by
% 74.82/11.14 | | | | | | | | | | | | | | | sub-proof #92.
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | (5893) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 74.82/11.14 | | | | | | | | | | | | | | | all_8_23 = e3
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | BETA: splitting (5893) gives:
% 74.82/11.14 | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | (5894) all_8_10 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | REF_CLOSE: (444), (570), (5894) are inconsistent by sub-proof
% 74.82/11.14 | | | | | | | | | | | | | | | | #61.
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | (5895) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | BETA: splitting (5895) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | (5896) all_8_11 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (5624), (5896) are inconsistent by
% 74.82/11.14 | | | | | | | | | | | | | | | | | sub-proof #26.
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | (5897) all_8_15 = e3 | all_8_23 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | BETA: splitting (5897) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | (5898) all_8_15 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (478), (5898) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | (5899) all_4_18 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | SIMP: (5899) implies:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | (5900) all_4_18 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (5900) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | (5901) all_10_113 = e3
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | REDUCE: (40), (5900) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | (5902) ~ (all_4_13 = e3)
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | BETA: splitting (154) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5903) all_6_17 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (5903) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5904) all_4_13 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5905) all_10_104 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | REDUCE: (79), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5906) ~ (all_4_3 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | REDUCE: (48), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5907) ~ (all_4_11 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | REDUCE: (5902), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5908) ~ (e3 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5909) ~ (e2 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | REDUCE: (566), (5904) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | (5910) ~ (e1 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5911) all_8_0 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (5911) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5912) all_4_0 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | SIMP: (5912) implies:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5913) all_4_0 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (5913) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | (5914) ~ (all_4_3 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5915) all_6_3 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5915) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5916) all_4_15 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (5916) implies:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5917) all_4_15 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5917) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5918) all_8_9 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (156), (224), (438), (473), (502), (551),
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (552), (575), (578), (581), (582), (5385), (5621),
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5886), (5906), (5918) are inconsistent by
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | (5919) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | (5920) all_8_0 = e2
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5911), (5920) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | (5921) e2 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (5921) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | (5922) $false
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5922) is inconsistent.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | (5923) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e2
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | (5924) all_6_7 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5924) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | (5925) all_4_11 = e0
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5907), (5925) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | (5926) $false
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5926) is inconsistent.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | (5927) ~ (all_6_7 = e0)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | (5928) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e1
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5928) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_6_7 = e4
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (5929) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5930) all_4_11 = e4
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (5930) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_8_5 = e4
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (5930) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5932) ~ (all_4_16 = e4)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5932) implies:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5933) ~ (all_4_16 = e4)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (5930) imply:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (5934) op(e4, e2) = all_10_13
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5935) all_8_9 = e4
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (568), (5935) are inconsistent by sub-proof
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | #98.
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5936) ~ (all_8_9 = e4)
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (5937) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e4
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5919) gives:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 74.82/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) all_6_3 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5938) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) all_4_15 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5939) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) $false
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5940) is inconsistent.
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) ~ (all_6_3 = e4)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5942) gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) all_6_3 = e3
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5943) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) all_4_15 = e3
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5890), (5944) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) $false
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5945) is inconsistent.
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) ~ (all_6_3 = e3)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_6_3 = e2 | all_6_3 = e1
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5937) gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_8_10 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (5933), (5948) are inconsistent by
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5949) gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) all_8_11 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (5950) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) all_4_17 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5951) implies:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) all_4_17 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (5952) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) all_10_100 = e4
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (5952) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) op(e4, e2) = all_10_23
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (5952) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) op(e4, e1) = all_10_24
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5947) gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_6_3 = e2
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5956) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_4_15 = e2
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (5957) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) op(e4, e1) = e2
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24, e1, e4, simplifying with (5955), (5958)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) all_10_24 = e2
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (5891), (5934)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_10_13 = e3
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_23,
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (5934), (5954)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) all_10_13 = all_10_23
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5960), (5961) imply:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) all_10_23 = e3
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5962) implies:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) all_10_23 = e3
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) ~ (all_10_24 = e2)
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5959), (5964) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5965) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_10_23 = e1 | all_10_100 = all_10_104
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5966) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) all_10_23 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5963), (5967) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) e3 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5968) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) e3 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (5969) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5970) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) all_10_100 = all_10_104
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5953), (5971) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_10_104 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (5905), (5972) are inconsistent by
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) all_6_3 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (5973) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_4_15 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (5974) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5975) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) ~ (all_8_11 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (452), (5976) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) ~ (all_4_17 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_6_13 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (500), (5978) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) all_4_17 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (5979) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) ~ (all_4_15 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (5979) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) ~ (all_4_16 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_8_2 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5400), (5982) are inconsistent by
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5923) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_8_1 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5385), (5984) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) e2 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5985) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5986) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5987) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) all_8_4 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (5886), (5988) are inconsistent by
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) all_8_9 = e2 | all_8_16 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5989) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_8_9 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (5990) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_4_15 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (5991) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) ~ (all_4_16 = e2)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5992) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) ~ (all_4_16 = e2)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (5991) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) ~ (e4 = e2)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5890), (5991) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) ~ (e3 = e2)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (213), (442), (444), (446), (575), (578), (580),
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (581), (582), (5400), (5907), (5931), (5981),
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983), (5993) are inconsistent by sub-proof #11.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) all_8_16 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (438), (5996) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) e4 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (5997) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5998) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (500), (571), (572), (5624), (5977), (5999) are
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | (6000) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (490), (562), (563), (5408), (6000) are
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #265.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6001) ~ (all_8_0 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | REDUCE: (473), (6001) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6002) ~ (all_4_0 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6003) all_8_9 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (156), (224), (438), (473), (502), (551),
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (552), (575), (578), (581), (582), (5385), (5621),
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (5886), (5906), (6003) are inconsistent by
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6004) ~ (all_8_9 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (435), (6004) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6005) ~ (all_4_15 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (220), (435), (438), (473), (577), (580), (583),
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (5385), (5886), (6002), (6005) are inconsistent by
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.15 | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | (6006) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | all_6_17 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6007) all_8_4 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5886), (6007) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6008) e3 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (5897), (5898), (6008) are
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6009) ~ (all_8_4 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | (6010) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | all_8_22 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6010) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6011) all_8_5 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (6011) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6012) all_4_11 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (6012) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6013) all_4_11 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (408), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6014) all_10_95 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (67), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6015) ~ (all_4_6 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (48), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6016) ~ (all_4_13 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (6016) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6017) ~ (all_4_13 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6018) ~ (all_4_16 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | SIMP: (6018) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6019) ~ (all_4_16 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6020) ~ (e3 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6021) ~ (e2 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5408), (6013) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | (6022) ~ (e1 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6006) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | (6023) all_6_17 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (505), (6023) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | (6024) all_4_13 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6024) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | (6025) all_4_13 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6025) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | (6026) all_8_14 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (6025) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | (6027) ~ (all_4_8 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6028) all_6_3 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (6028) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6029) all_4_15 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6029) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6030) all_8_9 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (6029) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6031) ~ (all_4_0 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (6029) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6032) ~ (all_4_17 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6032) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | (6033) ~ (all_4_17 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | (6034) all_8_6 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5617), (6034) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | (6035) e3 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (5897), (5898), (6035) are
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | (6036) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | (6037) all_8_0 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (6037) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | (6038) all_4_0 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6038) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | (6039) all_4_0 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (6039) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | (6040) all_10_110 = e2
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) ( ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)) | ( ~ (all_10_110 = e3) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e3) & ~ (all_10_112 = e3) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e3) & ~ (all_10_114 = e3))
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6041) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) ~ (all_10_110 = e4) & ~ (all_10_111 = e4) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e4) & ~ (all_10_113 = e4) & ~
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6042) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) ~ (all_10_114 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) ~ (all_10_113 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) ~ (all_10_112 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) ~ (all_10_111 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (411), (6046) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) ~ (all_4_6 = e4)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5901), (6044) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) ~ (e4 = e3)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (6043) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) ~ (e4 = e0)
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_8_1 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5385), (6050) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) e4 = e1
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6051) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6052) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6053) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) all_8_3 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (6054) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) all_4_6 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6055) implies:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) all_4_6 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6047), (6056) imply:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) $false
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6057) is inconsistent.
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6058) gives:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_8_7 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (577), (582), (583), (5372), (6033),
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036), (6059) are inconsistent by sub-proof #4.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) all_8_13 = e4 | all_8_21 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (467), (574), (6027), (6060) are
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) ~ (all_10_110 = e3) & ~ (all_10_111 = e3) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e3) & ~ (all_10_113 = e3) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e3)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6061) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) ~ (all_10_113 = e3)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5901), (6062) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6063) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) ( ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)) | ( ~ (all_10_110 = e1) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e0) & ~ (all_10_111 = e0) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e0))
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6064) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) ~ (all_10_110 = e2) & ~ (all_10_111 = e2) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e2) & ~ (all_10_113 = e2) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6065) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) ~ (all_10_110 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6040), (6066) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6067) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_112 = e1) & ~ (all_10_113 = e1) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_111 = e0) & ~ (all_10_112 = e0) & ~
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e0) & ~ (all_10_114 = e0))
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (5370), (6068) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | (6069) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (575), (578), (581), (582), (5385), (5886),
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | (6030), (6069) are inconsistent by sub-proof #67.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | (6070) ~ (all_6_3 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (6070) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | (6071) ~ (all_4_15 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (199) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | (6072) all_8_9 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (6071), (6072) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | (6073) ~ (all_8_9 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | (6074) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6074) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_8_10 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (6019), (6075) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (220) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) all_8_0 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (473), (6077) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) all_4_0 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6078) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) all_4_0 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (6079) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_10_110 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (99), (6079) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6081) ~ (all_4_3 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6081) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | (6082) ~ (all_4_3 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (156) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083) all_6_15 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (6082), (6083) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e1
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) all_8_0 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6077), (6085) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) e2 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (6086) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6087) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6088) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) all_8_1 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5385), (6089) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) e2 = e1
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (6090) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6091) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6076) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) all_8_11 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (6093) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) all_4_17 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6094) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) all_4_17 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (389), (6095) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) all_10_100 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (6095) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) ~ (all_4_7 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) all_8_6 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5617), (6098) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) e4 = e3
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (6099) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6100) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6101) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) all_8_7 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (6102) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) all_4_7 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6103) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) all_4_7 = e4
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (6104) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) ~ (all_4_6 = e4)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (6104) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) ~ (all_4_8 = e4)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) all_6_6 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (6107) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) all_4_6 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6015), (6108) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6109) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) ~ (all_6_6 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e1
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) all_8_1 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5385), (6112) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6113) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_8_3 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (6114) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_4_6 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6115) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_4_6 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6015), (6116) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6117) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) ~ (all_8_3 = e0)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6092) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_8_4 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (578), (5886), (6120) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) all_8_9 = e2 | all_8_16 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6121) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) all_8_9 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6122) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) all_4_15 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6123) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_4_15 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (6124) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) all_10_92 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (6124) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) ~ (all_4_16 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6126) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) ~ (all_4_16 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6124) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) ~ (e4 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5890), (6124) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) ~ (e3 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (195) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_8_12 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) all_8_2 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5400), (6131) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) e2 = e1
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (6132) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6133) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6134) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) all_8_3 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (474), (6135) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_4_6 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6136) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) all_4_6 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (6137) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) ~ (all_4_8 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6138) implies:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) ~ (all_4_8 = e2)
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (196), (458), (462), (575), (578), (581), (582),
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5898), (6026), (6130), (6139) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6140) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) all_8_5 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6011), (6141) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) e2 = e0
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (6142) imply:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) $false
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6143) is inconsistent.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) all_8_10 = e2 | all_8_17 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6144) gives:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) all_8_10 = e2
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (6127), (6145) are inconsistent by
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 75.10/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) all_8_17 = e2
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (578), (6146) are inconsistent by sub-proof
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212.
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6084) gives:
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) all_6_15 = e4
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (551), (6148) are inconsistent by sub-proof
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) ~ (all_6_15 = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6111) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) all_6_6 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (6105), (6151) are inconsistent by
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6119) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) all_8_7 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (6102), (6153) are inconsistent by
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) all_8_13 = e0 | all_8_21 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6152) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) all_6_6 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (555), (6155) are inconsistent by sub-proof
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #159.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) all_6_6 = e2 | all_6_6 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6156) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_6_6 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (6157) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) all_4_6 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6158) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_4_6 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (411), (6159) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) all_10_111 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6147) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) all_8_13 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (6161) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_4_8 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (6162) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) all_10_103 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6027), (6162) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) ~ (e4 = e0)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) all_6_15 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (6165) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) all_4_3 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5621), (6166) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6167) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) ~ (all_6_15 = e3)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_6_15 = e2 | all_6_15 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6169) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) all_6_15 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (6170) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) all_4_3 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (382), (6171) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) all_10_102 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4)) | (all_10_93 =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_110 = e0) | unit = e4)) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4)) | (all_10_96
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_94 = e1) | unit = e4)) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_98 = e4 & unit = e4) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6173) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4)) | (all_10_93 =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_110 = e0) | unit = e4)) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6174) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) (all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_91 = e4 & ( ~ (all_10_110 = e2)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_92 = e4 & ( ~
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e1) | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6175) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) all_10_90 = e4 & ( ~ (all_10_110 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6176) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) all_10_90 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5388), (6177) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) e4 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6178) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6179) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) (all_10_91 = e4 & ( ~ (all_10_110 = e2) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_92 = e4 & ( ~ (all_10_110 = e1)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6180) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) all_10_91 = e4 & ( ~ (all_10_110 = e2) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6181) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) all_10_91 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5887), (6182) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) e4 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (6183) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6184) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_10_92 = e4 & ( ~ (all_10_110 = e1) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6185) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_10_92 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6125), (6186) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) e4 = e2
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6187) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6188) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) (all_10_93 = e4 & ( ~ (all_10_110 = e0) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_94 = e4 & unit = e4) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6189) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_10_93 = e4 & ( ~ (all_10_110 = e0) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6190) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) ~ (all_10_110 = e0) | unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (577), (6080), (6191) are inconsistent by
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) (all_10_94 = e4 & unit = e4) | (all_10_95 = e4 & (
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_94 = e2) | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6192) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_10_94 = e4 & unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6193) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_10_94 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5403), (6195) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) e4 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6196) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) e4 = e1
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6194) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6197), (6198) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) e1 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (6199) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6200) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) all_10_95 = e4 & ( ~ (all_10_94 = e2) | unit = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6201) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_10_95 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6014), (6202) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6203) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6204) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6205) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) (all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_97 = e4 & ( ~ (all_10_94 = e0)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_98 = e4 & unit = e4) |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6206) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) (all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_97 = e4 & ( ~ (all_10_94 = e0)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_98 = e4 & unit = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6207) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_10_96 = e4 & ( ~ (all_10_94 = e1) | unit = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6208) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) ~ (all_10_94 = e1) | unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6209) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) ~ (all_10_94 = e1)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5403), (6210) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6211) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6212) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6213) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) $false
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6214) is inconsistent.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) (all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit =
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_98 = e4 & unit = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6215) gives:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit = e4)
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (574), (6216) are inconsistent by sub-proof
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_10_98 = e4 & unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6217) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) unit = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_10_98 = e4
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5618), (6219) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) e4 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6220) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) e4 = e3
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6218) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6222) implies:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) e4 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6221), (6223) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) e3 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5898), (6224) imply:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_8_15 = e0
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (5897), (6225) are
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) (all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_100 = e4 & ( ~ (all_10_98 = e1)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_101 = e4 & ( ~
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e0) | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6226) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_10_99 = e4 & ( ~ (all_10_98 = e3) | unit = e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6227) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) ~ (all_10_98 = e3) | unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6228) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) ~ (all_10_98 = e3)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5618), (6229) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6230) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6231) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6232) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6233) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) (all_10_100 = e4 & ( ~ (all_10_98 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_101 = e4 & ( ~ (all_10_98 = e0)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6234) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_10_100 = e4 & ( ~ (all_10_98 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6235) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_10_100 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6096), (6236) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6237) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6238) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6239) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_10_101 = e4 & ( ~ (all_10_98 = e0) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (545), (575), (6240) are inconsistent by sub-proof
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_105 = e4 & ( ~ (all_10_102 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4)) | (all_10_106 = e4 & unit
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_107 = e4 & ( ~ (all_10_106 = e3)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_108 = e4 & ( ~
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_106 = e2) | unit = e4)) | (all_10_109
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_106 = e1) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_110 = e4 & unit = e4) | (all_10_111 = e4 &
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_94 = e3) | unit = e4)) | (all_10_112
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_98 = e2) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_114 = e4 & ( ~ (all_10_106 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6241) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_105 = e4 & ( ~ (all_10_102 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4)) | (all_10_106 = e4 & unit
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_107 = e4 & ( ~ (all_10_106 = e3)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6242) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) (all_10_102 = e4 & unit = e4) | (all_10_103 = e4 &
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ (all_10_102 = e3) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6243) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) all_10_102 = e4 & unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6244) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) all_10_102 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6172), (6246) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) e4 = e2
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6247) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) e4 = e2
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6245) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6249) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6248), (6250) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) e2 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6122), (6251) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_8_9 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (99), (224), (438), (473), (502), (552), (575),
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (578), (581), (582), (5385), (5886), (6169),
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) are inconsistent by sub-proof #66.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) (all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_104 = e4 & ( ~ (all_10_102 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6253) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_10_103 = e4 & ( ~ (all_10_102 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6254) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_10_103 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (6163), (6255) are inconsistent by
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) all_10_104 = e4 & ( ~ (all_10_102 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6256) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) ~ (all_10_102 = e2) | unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6257) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) ~ (all_10_102 = e2)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6172), (6258) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6259) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (12), (6260) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) e4 = e0
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6261) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6262) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) (all_10_105 = e4 & ( ~ (all_10_102 = e0) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_106 = e4 & unit = e4) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_107 = e4 & ( ~ (all_10_106 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (362), (370), (574), (576), (577), (6263)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #19.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) (all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_109 = e4 & ( ~ (all_10_106 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e4)) | (all_10_110 = e4 & unit
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4) | (all_10_111 = e4 & ( ~ (all_10_94 = e3)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_112 = e4 & ( ~
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_98 = e2) | unit = e4)) | (all_10_113 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ( ~ (all_10_102 = e1) | unit = e4)) |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_114 = e4 & ( ~ (all_10_106 = e0) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6264) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) (all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_109 = e4 & ( ~ (all_10_106 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | unit = e4)) | (all_10_110 = e4 & unit
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6265) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_10_108 = e4 & ( ~ (all_10_106 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6266) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_10_108 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (6267) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) e4 = e2
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6268) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6269) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) (all_10_109 = e4 & ( ~ (all_10_106 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_110 = e4 & unit = e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6270) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_10_109 = e4 & ( ~ (all_10_106 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6271) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_10_109 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (6272) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) e4 = e1
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6273) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6274) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) all_10_110 = e4 & unit = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (577), (6275) are inconsistent by sub-proof
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) (all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_112 = e4 & ( ~ (all_10_98 = e2)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4)) | (all_10_113 = e4 & ( ~
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_102 = e1) | unit = e4)) | (all_10_114
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ( ~ (all_10_106 = e0) | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6276) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) (all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_112 = e4 & ( ~ (all_10_98 = e2)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6277) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_10_111 = e4 & ( ~ (all_10_94 = e3) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6278) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) all_10_111 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6160), (6279) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) e4 = e2
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6280) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6281) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) all_10_112 = e4 & ( ~ (all_10_98 = e2) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6282) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_10_112 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5370), (6283) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) e4 = e1
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6284) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6285) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) (all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)) | (all_10_114 = e4 & ( ~ (all_10_106 =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) | unit = e4))
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6286) gives:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) all_10_113 = e4 & ( ~ (all_10_102 = e1) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6287) implies:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) all_10_113 = e4
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5901), (6288) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) e4 = e3
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (6289) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6290) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_10_114 = e4 & ( ~ (all_10_106 = e0) | unit =
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4)
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (577), (6291) are inconsistent by sub-proof
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_6_15 = e1
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (6292) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_4_3 = e1
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (6293) imply:
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) $false
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6294) is inconsistent.
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) ~ (all_8_13 = e0)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (458), (6295) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) ~ (all_4_8 = e0)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6154) gives:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) all_8_13 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (6297) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_4_8 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6296), (6298) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) $false
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6299) is inconsistent.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) all_8_21 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (467), (6300) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) e3 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (5897), (5898), (6301) are
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_6_6 = e1
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (5384), (6302) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_8_16 = e2
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (438), (575), (6303) are inconsistent by sub-proof
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #166.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) ~ (all_8_7 = e4)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (6304) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) ~ (all_4_7 = e4)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_6_11 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6306) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_4_7 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6097), (6307) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) $false
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6308) is inconsistent.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e1
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (5374), (6305), (6309) are
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #111.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_8_15 = e0 | all_8_23 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (583), (5897), (6310) are
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #59.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6311) gives:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) all_8_1 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5385), (6312) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (438), (577), (580), (5886), (6071), (6313)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #72.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | (6314) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (505), (565), (566), (5902), (6314) are
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #144.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | (6315) ~ (all_8_5 = e0)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | (6316) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (442), (6315) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | (6317) ~ (all_4_11 = e0)
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6316) gives:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | (6318) all_8_8 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5372), (6318) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | (6319) all_8_14 = e0 | all_8_22 = e0
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (48), (162), (374), (490), (505), (542), (562),
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | (563), (565), (566), (580), (582), (5408), (6006),
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | | (6317), (6319) are inconsistent by sub-proof #134.
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | (6320) all_8_23 = e3
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (541), (6320) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | (6321) e3 = e1
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | REDUCE: (579), (6321) imply:
% 75.19/11.19 | | | | | | | | | | | | | | | | | | (6322) $false
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | | CLOSE: (6322) is inconsistent.
% 75.19/11.19 | | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | (6323) all_6_2 = e2 | all_6_2 = e1
% 75.19/11.19 | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (5393), (6323) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | | | | sub-proof #258.
% 75.19/11.19 | | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | (6324) all_6_10 = e2 | all_6_10 = e1
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | REF_CLOSE: (491), (550), (5373), (6324) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | sub-proof #268.
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | End of split
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | End of split
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | (6325) all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | BETA: splitting (6325) gives:
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | (6326) all_8_6 = e1
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | REF_CLOSE: (447), (5373), (6326) are inconsistent by sub-proof
% 75.19/11.19 | | | | | | | | | #99.
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | (6327) all_8_12 = e1 | all_8_20 = e1
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | REF_CLOSE: (456), (464), (552), (576), (6327) are inconsistent
% 75.19/11.19 | | | | | | | | | by sub-proof #260.
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | End of split
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | End of split
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | End of split
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | Case 2:
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | (6328) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 75.19/11.19 | | | | | | e1
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | REF_CLOSE: (449), (458), (467), (474), (559), (579), (5374), (5384),
% 75.19/11.19 | | | | | | (6328) are inconsistent by sub-proof #262.
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | End of split
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | Case 2:
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | (6329) all_10_111 = e1
% 75.19/11.19 | | | | | (6330) ~ (all_10_113 = e3) | all_10_103 = e1
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | COMBINE_EQS: (411), (6329) imply:
% 75.19/11.19 | | | | | (6331) all_4_6 = e1
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | COMBINE_EQS: (474), (6331) imply:
% 75.19/11.19 | | | | | (6332) all_8_3 = e1
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (91), (6331) imply:
% 75.19/11.19 | | | | | (6333) ~ (all_4_1 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (69), (6331) imply:
% 75.19/11.19 | | | | | (6334) ~ (all_4_7 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (68), (6331) imply:
% 75.19/11.19 | | | | | (6335) ~ (all_4_8 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (67), (6331) imply:
% 75.19/11.19 | | | | | (6336) ~ (all_4_11 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | SIMP: (6336) implies:
% 75.19/11.19 | | | | | (6337) ~ (all_4_11 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (66), (6331) imply:
% 75.19/11.19 | | | | | (6338) ~ (all_4_16 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (555), (6331) imply:
% 75.19/11.19 | | | | | (6339) ~ (e3 = e1)
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | REDUCE: (613), (6331) imply:
% 75.19/11.19 | | | | | (6340) op(e1, e3) = all_10_11
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | BETA: splitting (6330) gives:
% 75.19/11.19 | | | | |
% 75.19/11.19 | | | | | Case 1:
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | (6341) ~ (all_10_113 = e3)
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | REDUCE: (373), (6341) imply:
% 75.19/11.19 | | | | | | (6342) ~ (all_4_18 = e3)
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | BETA: splitting (221) gives:
% 75.19/11.19 | | | | | |
% 75.19/11.19 | | | | | | Case 1:
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | (6343) all_8_0 = e1
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | COMBINE_EQS: (473), (6343) imply:
% 75.19/11.19 | | | | | | | (6344) all_4_0 = e1
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | SIMP: (6344) implies:
% 75.19/11.19 | | | | | | | (6345) all_4_0 = e1
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | COMBINE_EQS: (430), (6345) imply:
% 75.19/11.19 | | | | | | | (6346) all_10_110 = e1
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | COMBINE_EQS: (667), (6345) imply:
% 75.19/11.19 | | | | | | | (6347) all_10_82 = e1
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (101), (6345) imply:
% 75.19/11.19 | | | | | | | (6348) ~ (all_4_1 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (100), (6345) imply:
% 75.19/11.19 | | | | | | | (6349) ~ (all_4_2 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (99), (6345) imply:
% 75.19/11.19 | | | | | | | (6350) ~ (all_4_3 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (98), (6345) imply:
% 75.19/11.19 | | | | | | | (6351) ~ (all_4_5 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | SIMP: (6351) implies:
% 75.19/11.19 | | | | | | | (6352) ~ (all_4_5 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (97), (6345) imply:
% 75.19/11.19 | | | | | | | (6353) ~ (all_4_10 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | SIMP: (6353) implies:
% 75.19/11.19 | | | | | | | (6354) ~ (all_4_10 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (96), (6345) imply:
% 75.19/11.19 | | | | | | | (6355) ~ (all_4_15 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | REDUCE: (546), (6345) imply:
% 75.19/11.19 | | | | | | | (6356) ~ (e4 = e1)
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | BETA: splitting (329) gives:
% 75.19/11.19 | | | | | | |
% 75.19/11.19 | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | (6357) ~ (all_10_110 = e1)
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | REDUCE: (6346), (6357) imply:
% 75.19/11.19 | | | | | | | | (6358) $false
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | CLOSE: (6358) is inconsistent.
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | (6359) ~ (all_10_113 = e4) | all_10_102 = e1
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | BETA: splitting (6359) gives:
% 75.19/11.19 | | | | | | | |
% 75.19/11.19 | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | (6360) ~ (all_10_113 = e4)
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | REDUCE: (373), (6360) imply:
% 75.19/11.19 | | | | | | | | | (6361) ~ (all_4_18 = e4)
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | BETA: splitting (153) gives:
% 75.19/11.19 | | | | | | | | |
% 75.19/11.19 | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | (6362) all_6_18 = e0
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | COMBINE_EQS: (507), (6362) imply:
% 75.19/11.19 | | | | | | | | | | (6363) all_4_18 = e0
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | COMBINE_EQS: (478), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6364) all_8_15 = e0
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (40), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6365) ~ (all_4_13 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (36), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6366) ~ (all_4_15 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (32), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6367) ~ (all_4_16 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (29), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6368) ~ (all_4_17 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (6361), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6369) ~ (e4 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (6342), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6370) ~ (e3 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (5382), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6371) ~ (e2 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | REDUCE: (573), (6363) imply:
% 75.19/11.19 | | | | | | | | | | (6372) ~ (e1 = e0)
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8,
% 75.19/11.19 | | | | | | | | | | all_10_11, e3, e1, simplifying with (110), (6340)
% 75.19/11.19 | | | | | | | | | | gives:
% 75.19/11.19 | | | | | | | | | | (6373) all_10_11 = all_4_8
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | BETA: splitting (167) gives:
% 75.19/11.19 | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | (6374) all_6_1 = e0
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | COMBINE_EQS: (485), (6374) imply:
% 75.19/11.19 | | | | | | | | | | | (6375) all_4_5 = e0
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | SIMP: (6375) implies:
% 75.19/11.19 | | | | | | | | | | | (6376) all_4_5 = e0
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | COMBINE_EQS: (432), (6376) imply:
% 75.19/11.19 | | | | | | | | | | | (6377) all_8_1 = e0
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | REDUCE: (75), (6376) imply:
% 75.19/11.19 | | | | | | | | | | | (6378) ~ (all_4_7 = e0)
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | SIMP: (6378) implies:
% 75.19/11.19 | | | | | | | | | | | (6379) ~ (all_4_7 = e0)
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | REDUCE: (72), (6376) imply:
% 75.19/11.19 | | | | | | | | | | | (6380) ~ (all_4_10 = e0)
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | SIMP: (6380) implies:
% 75.19/11.19 | | | | | | | | | | | (6381) ~ (all_4_10 = e0)
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | REDUCE: (71), (6376) imply:
% 75.19/11.19 | | | | | | | | | | | (6382) ~ (all_4_15 = e0)
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | REDUCE: (125), (6376) imply:
% 75.19/11.19 | | | | | | | | | | | (6383) op(e4, e3) = e0
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | BETA: splitting (166) gives:
% 75.19/11.19 | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | Case 1:
% 75.19/11.19 | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | (6384) all_6_2 = e0
% 75.19/11.19 | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | | REF_CLOSE: (488), (6381), (6384) are inconsistent by
% 75.19/11.19 | | | | | | | | | | | | sub-proof #123.
% 75.19/11.19 | | | | | | | | | | | |
% 75.19/11.19 | | | | | | | | | | | Case 2:
% 75.19/11.19 | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | (6385) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 |
% 75.19/11.20 | | | | | | | | | | | | all_6_2 = e1
% 75.19/11.20 | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | BETA: splitting (159) gives:
% 75.19/11.20 | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | (6386) all_6_11 = e0
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | REF_CLOSE: (493), (6379), (6386) are inconsistent by
% 75.19/11.20 | | | | | | | | | | | | | sub-proof #241.
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | (6387) ~ (all_6_11 = e0)
% 75.19/11.20 | | | | | | | | | | | | | (6388) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 |
% 75.19/11.20 | | | | | | | | | | | | | all_6_11 = e1
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | BETA: splitting (6388) gives:
% 75.19/11.20 | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | (6389) all_6_11 = e4
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | COMBINE_EQS: (493), (6389) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6390) all_4_7 = e4
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | SIMP: (6390) implies:
% 75.19/11.20 | | | | | | | | | | | | | | (6391) all_4_7 = e4
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | COMBINE_EQS: (449), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6392) all_8_7 = e4
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (64), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6393) ~ (all_4_8 = e4)
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | SIMP: (6393) implies:
% 75.19/11.20 | | | | | | | | | | | | | | (6394) ~ (all_4_8 = e4)
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (599), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6395) op(e4, e3) = all_10_21
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (600), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6396) op(e4, e2) = all_10_20
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (627), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6397) op(e3, e4) = all_10_57
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (632), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6398) op(e2, e4) = all_10_58
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | REDUCE: (115), (6391) imply:
% 75.19/11.20 | | | | | | | | | | | | | | (6399) op(e2, e3) = e4
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | BETA: splitting (198) gives:
% 75.19/11.20 | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | (6400) all_8_12 = e4
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | REF_CLOSE: (456), (551), (6400) are inconsistent by sub-proof
% 75.19/11.20 | | | | | | | | | | | | | | | #125.
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | (6401) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 |
% 75.19/11.20 | | | | | | | | | | | | | | | all_8_19 = e4
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | BETA: splitting (6401) gives:
% 75.19/11.20 | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | (6402) all_8_13 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | REF_CLOSE: (458), (6394), (6402) are inconsistent by
% 75.19/11.20 | | | | | | | | | | | | | | | | sub-proof #79.
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | (6403) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | BETA: splitting (6403) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | (6404) all_8_14 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6404) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | (6405) all_4_13 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | SIMP: (6405) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | (6406) all_4_13 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | REDUCE: (48), (6406) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | (6407) ~ (all_4_11 = e4)
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | REDUCE: (607), (6406) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | (6408) op(e4, e2) = all_10_32
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6409) all_6_7 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (6409) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6410) all_4_11 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | SIMP: (6410) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6411) all_4_11 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | REDUCE: (90), (6411) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6412) ~ (all_4_1 = e0)
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | REDUCE: (46), (6411) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6413) ~ (all_4_16 = e0)
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | REDUCE: (119), (6411) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | (6414) op(e3, e2) = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | (6415) all_6_5 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (6412), (6415) are inconsistent by
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | sub-proof #211.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | (6416) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | all_6_5 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6417) all_8_6 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (6417) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6418) all_4_2 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | SIMP: (6418) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6419) all_4_2 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (6419) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6420) ~ (all_4_3 = e0)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | SIMP: (6420) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6421) ~ (all_4_3 = e0)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (6419) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6422) ~ (all_4_17 = e0)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (6419) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | (6423) op(e2, e4) = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | BETA: splitting (202) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | (6424) all_8_9 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (568), (6424) are inconsistent by sub-proof
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | #98.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | (6425) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | all_8_23 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6425) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | (6426) all_8_10 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (6426) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | (6427) all_4_16 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (6427) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | (6428) op(e4, e3) = all_10_14
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (626), (6427) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | (6429) op(e3, e4) = all_10_75
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6385) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | (6430) all_6_2 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (561), (6430) are inconsistent by sub-proof
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | #188.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | (6431) ~ (all_6_2 = e4)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | (6432) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6433) all_8_9 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (6433) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6434) all_4_15 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6434) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_4_15 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6435) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6436) ~ (e4 = e2)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (6435) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6437) op(e2, e4) = all_10_5
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (6435) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | (6438) op(e4, e2) = all_10_73
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6432) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_6_2 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (488), (6439) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6440) all_4_10 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6440) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6441) all_4_10 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6442) ~ (e4 = e3)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6443) op(e3, e4) = all_10_3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (587), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6444) op(e3, e2) = all_10_4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (616), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6445) op(e4, e3) = all_10_64
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6446) op(e4, e2) = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (629), (6441) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | (6447) op(e2, e3) = all_10_63
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) all_8_1 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6377), (6448) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) e2 = e0
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (6449) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) $false
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6450) is inconsistent.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) all_8_3 = e2 | all_8_7 = e2 | all_8_13 = e2 |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6451) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) all_8_3 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6332), (6452) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) e2 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6453) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) e2 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (6454) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) $false
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6455) is inconsistent.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) all_8_7 = e2 | all_8_13 = e2 | all_8_21 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6456) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) all_8_7 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (575), (6392), (6457) are inconsistent by
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) all_8_13 = e2 | all_8_21 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6458) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) all_8_13 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (458), (6459) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) all_4_8 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6460) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) all_4_8 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (6461) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) op(e2, e3) = all_10_30
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6461) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) op(e3, e2) = all_10_59
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6461) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) op(e1, e3) = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6416) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_6_5 = e4
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (547), (6465) are inconsistent by sub-proof
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6466) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) all_6_5 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (548), (6467) are inconsistent by sub-proof
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) ~ (all_6_5 = e3)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) all_6_5 = e2 | all_6_5 = e1
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6469) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) all_6_5 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (6470) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) all_4_1 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6471) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) all_4_1 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) ~ (all_4_3 = e2)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6473) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) ~ (all_4_3 = e2)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) ~ (e3 = e2)
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) op(e2, e4) = all_10_10
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) op(e2, e3) = all_10_9
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (619), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) op(e4, e2) = all_10_46
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) op(e3, e2) = all_10_47
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (6472) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) op(e3, e4) = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_8_12 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6481) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) all_4_3 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6482) implies:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_4_3 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (6483) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) op(e3, e4) = all_10_28
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (6483) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) op(e4, e3) = all_10_50
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (638), (6483) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) op(e1, e3) = all_10_51
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (201) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) all_8_9 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6433), (6487) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) e3 = e2
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6488) imply:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) $false
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6489) is inconsistent.
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6490) gives:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) all_8_10 = e3
% 75.19/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (574), (6426), (6491) are inconsistent by
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6492) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) all_8_11 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (6493) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) all_4_17 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6494) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) all_4_17 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (6495) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) op(e3, e2) = all_10_23
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (633), (6495) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) op(e2, e3) = all_10_77
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (637), (6495) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) op(e1, e3) = all_10_76
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_76,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (6486), (6498)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) all_10_51 = all_10_76
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_51, e3, e1, simplifying with (6464), (6486)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_10_51 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_30,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e2, simplifying with (6462), (6477)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) all_10_9 = all_10_30
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_63,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e2, simplifying with (6447), (6477)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) all_10_9 = all_10_63
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_77,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_9, e3, e2, simplifying with (6477), (6497)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_10_9 = all_10_77
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_9,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6399), (6477) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_10_9 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_58,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_10, e4, e2, simplifying with (6398), (6476)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) all_10_10 = all_10_58
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_10,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e2, simplifying with (6437), (6476)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_10_5 = all_10_10
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_5,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (6423), (6437) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_10_5 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_59,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_47, e2, e3, simplifying with (6463), (6479)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) all_10_47 = all_10_59
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_47,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e3, simplifying with (6479), (6496)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) all_10_23 = all_10_47
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_23,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_4, e2, e3, simplifying with (6444), (6496)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_10_4 = all_10_23
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_4,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6414), (6444) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) all_10_4 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_75,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e3, simplifying with (6429), (6484)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) all_10_28 = all_10_75
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e3, simplifying with (6480), (6484)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_10_28 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e3, simplifying with (6443), (6484)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_10_3 = all_10_28
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_57,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_3, e4, e3, simplifying with (6397), (6443)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_10_3 = all_10_57
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_73,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e4, simplifying with (6408), (6438)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_10_32 = all_10_73
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e4, simplifying with (6408), (6446)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_10_32 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e4, simplifying with (6396), (6408)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_10_20 = all_10_32
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20, e2, e4, simplifying with (6396), (6478)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) all_10_20 = all_10_46
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_50, e3, e4, simplifying with (6383), (6485)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_10_50 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_50,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21, e3, e4, simplifying with (6395), (6485)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_10_21 = all_10_50
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_21,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e4, simplifying with (6395), (6428)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) all_10_14 = all_10_21
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_64,
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e4, simplifying with (6428), (6445)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) all_10_14 = all_10_64
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6514), (6515) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) all_10_28 = all_10_57
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6524) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) all_10_28 = all_10_57
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6510), (6511) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) all_10_23 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6526) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) all_10_23 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6506), (6507) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_10_10 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6528) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_10_10 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6501), (6504) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_10_30 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6501), (6503) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) all_10_30 = all_10_77
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6501), (6502) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_10_30 = all_10_63
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6505), (6529) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) all_10_58 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6533) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_10_58 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6522), (6523) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) all_10_21 = all_10_64
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6535) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) all_10_21 = all_10_64
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6518), (6519) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_10_32 = all_10_46
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6537) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_10_32 = all_10_46
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6521), (6536) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_10_50 = all_10_64
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6539) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_10_50 = all_10_64
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6509), (6527) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) all_10_47 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6541) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) all_10_47 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6513), (6525) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) all_10_57 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6512), (6525) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) all_10_57 = all_10_75
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6530), (6532) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) all_10_63 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6531), (6532) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) all_10_63 = all_10_77
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6517), (6538) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_10_46 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6516), (6538) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_10_46 = all_10_73
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6547), (6548) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) all_10_73 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6508), (6542) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_10_59 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6520), (6540) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_10_64 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6499), (6500) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_10_76 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6552) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) all_10_76 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6543), (6544) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) all_10_75 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6545), (6546) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_10_77 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6555) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_10_77 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6557) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6558) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) ~ (all_10_46 = e3) | all_10_47 = e4
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (6542), (6547), (6559) are inconsistent by
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6560) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (all_10_57 = e2) | all_10_58 = e3
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (6534), (6543), (6561) are inconsistent by
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #226.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6562) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6563) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) ~ (all_10_63 = e4) | all_10_64 = e2
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (6545), (6551), (6564) are inconsistent by
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6565) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6566) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) ~ (all_10_76 = e2) | all_10_77 = e1
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6567) gives:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) ~ (all_10_76 = e2)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6553), (6568) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) $false
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6569) is inconsistent.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_10_77 = e1
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6556), (6570) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) e4 = e1
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6571) imply:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) $false
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6572) is inconsistent.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6573) implies:
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) ~ (all_10_81 = e4) | all_10_82 = e0
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (668), (6347), (6574) are inconsistent by
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_8_15 = e3 | all_8_23 = e3
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (579), (580), (6364), (6575) are
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #60.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (574), (578), (579), (580), (6364), (6404),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459), (6576) are inconsistent by sub-proof #103.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) all_6_5 = e1
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (6333), (6577) are inconsistent by
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #204.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) all_8_21 = e2
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (467), (578), (6578) are inconsistent by sub-proof
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #196.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_6_2 = e2 | all_6_2 = e1
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (488), (560), (6354), (6579) are inconsistent by
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #258.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e2
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (452), (541), (572), (575), (581), (582), (6364),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | | (6426), (6580) are inconsistent by sub-proof #40.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | (6581) ~ (all_8_10 = e4)
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (444), (6581) imply:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | (6582) ~ (all_4_16 = e4)
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (89), (161), (486), (498), (547), (548), (569),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | (570), (6333), (6367), (6416), (6582) are
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #201.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | (6583) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (577), (582), (583), (5372), (6368),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | (6392), (6583) are inconsistent by sub-proof #4.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | (6584) ~ (all_6_7 = e0)
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | REDUCE: (490), (6584) imply:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | (6585) ~ (all_4_11 = e0)
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6586) all_8_6 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (6586) imply:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6587) all_4_2 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | SIMP: (6587) implies:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6588) all_4_2 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | REDUCE: (94), (6588) imply:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6589) ~ (all_4_1 = e0)
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | (6590) all_8_2 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (6589), (6590) are inconsistent by
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | sub-proof #187.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | (6591) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | all_8_17 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (444), (446), (580), (583), (6332), (6367),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | | (6585), (6591) are inconsistent by sub-proof #1.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | Case 2:
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6592) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | all_8_18 = e0
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (577), (582), (583), (5372), (6368),
% 75.19/11.22 | | | | | | | | | | | | | | | | | | | (6392), (6592) are inconsistent by sub-proof #4.
% 75.19/11.22 | | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | | End of split
% 75.19/11.22 | | | | | | | | | | | | | | | | | |
% 75.19/11.22 | | | | | | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | (6593) all_8_15 = e4 | all_8_19 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (576), (577), (6364), (6593) are
% 75.44/11.22 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #223.
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | (6594) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | REF_CLOSE: (493), (556), (557), (5374), (6594) are
% 75.44/11.22 | | | | | | | | | | | | | | inconsistent by sub-proof #253.
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | End of split
% 75.44/11.22 | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | (6595) ~ (all_6_1 = e0)
% 75.44/11.22 | | | | | | | | | | | (6596) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 |
% 75.44/11.22 | | | | | | | | | | | all_6_1 = e1
% 75.44/11.22 | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | REDUCE: (485), (6595) imply:
% 75.44/11.22 | | | | | | | | | | | (6597) ~ (all_4_5 = e0)
% 75.44/11.22 | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | BETA: splitting (220) gives:
% 75.44/11.22 | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | (6598) all_8_0 = e0
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | COMBINE_EQS: (6343), (6598) imply:
% 75.44/11.22 | | | | | | | | | | | | (6599) e1 = e0
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | SIMP: (6599) implies:
% 75.44/11.22 | | | | | | | | | | | | (6600) e1 = e0
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | REDUCE: (583), (6600) imply:
% 75.44/11.22 | | | | | | | | | | | | (6601) $false
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | CLOSE: (6601) is inconsistent.
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | (6602) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 |
% 75.44/11.22 | | | | | | | | | | | | all_8_16 = e0
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | BETA: splitting (6602) gives:
% 75.44/11.22 | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | (6603) all_8_1 = e0
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | REF_CLOSE: (432), (6597), (6603) are inconsistent by
% 75.44/11.22 | | | | | | | | | | | | | sub-proof #194.
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | (6604) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | BETA: splitting (6604) gives:
% 75.44/11.22 | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | (6605) all_8_4 = e0
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | COMBINE_EQS: (433), (6605) imply:
% 75.44/11.22 | | | | | | | | | | | | | | (6606) all_4_10 = e0
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | SIMP: (6606) implies:
% 75.44/11.22 | | | | | | | | | | | | | | (6607) all_4_10 = e0
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | REDUCE: (55), (6607) imply:
% 75.44/11.22 | | | | | | | | | | | | | | (6608) ~ (all_4_11 = e0)
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | SIMP: (6608) implies:
% 75.44/11.22 | | | | | | | | | | | | | | (6609) ~ (all_4_11 = e0)
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | REDUCE: (53), (6607) imply:
% 75.44/11.22 | | | | | | | | | | | | | | (6610) ~ (all_4_13 = e0)
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | REDUCE: (51), (6607) imply:
% 75.44/11.22 | | | | | | | | | | | | | | (6611) ~ (all_4_15 = e0)
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | REDUCE: (124), (6607) imply:
% 75.44/11.22 | | | | | | | | | | | | | | (6612) op(e4, e2) = e0
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | BETA: splitting (162) gives:
% 75.44/11.22 | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | (6613) all_6_7 = e0
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | REF_CLOSE: (490), (6609), (6613) are inconsistent by
% 75.44/11.22 | | | | | | | | | | | | | | | sub-proof #276.
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | (6614) ~ (all_6_7 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | (6615) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 |
% 75.44/11.22 | | | | | | | | | | | | | | | all_6_7 = e1
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | BETA: splitting (211) gives:
% 75.44/11.22 | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | (6616) all_8_2 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (6616) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6617) all_4_1 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | SIMP: (6617) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6618) all_4_1 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | REDUCE: (94), (6618) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6619) ~ (all_4_2 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | SIMP: (6619) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6620) ~ (all_4_2 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | REDUCE: (93), (6618) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6621) ~ (all_4_3 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | SIMP: (6621) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6622) ~ (all_4_3 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | REDUCE: (89), (6618) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6623) ~ (all_4_16 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | REDUCE: (121), (6618) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | (6624) op(e3, e4) = e0
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | BETA: splitting (203) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | (6625) all_8_6 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (6620), (6625) are inconsistent by
% 75.44/11.22 | | | | | | | | | | | | | | | | | sub-proof #251.
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | (6626) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 |
% 75.44/11.22 | | | | | | | | | | | | | | | | | all_8_18 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | BETA: splitting (6626) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6627) all_8_7 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (6627) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6628) all_4_7 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | SIMP: (6628) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6629) all_4_7 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | REDUCE: (64), (6629) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6630) ~ (all_4_8 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | SIMP: (6630) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6631) ~ (all_4_8 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | REDUCE: (61), (6629) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6632) ~ (all_4_17 = e0)
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | REDUCE: (115), (6629) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | (6633) op(e2, e3) = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | BETA: splitting (206) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | (6634) all_8_6 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (447), (549), (6634) are inconsistent by sub-proof
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | #127.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | (6635) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | all_8_18 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | BETA: splitting (6635) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | (6636) all_8_7 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6627), (6636) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | (6637) e4 = e0
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6637) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | (6638) $false
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | CLOSE: (6638) is inconsistent.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | (6639) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | BETA: splitting (6639) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | (6640) all_8_8 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5372), (6640) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | (6641) e4 = e1
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | REDUCE: (576), (6641) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | (6642) $false
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6642) is inconsistent.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | (6643) all_8_11 = e4 | all_8_18 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6643) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | (6644) all_8_11 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (6644) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | (6645) all_4_17 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6645) implies:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | (6646) all_4_17 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (6646) imply:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | (6647) op(e4, e2) = all_10_23
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | (6648) all_8_1 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (432), (554), (6648) are inconsistent by sub-proof
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | #54.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | (6649) ~ (all_8_1 = e4)
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | (6650) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6650) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | (6651) all_8_3 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (6332), (6651) are inconsistent by
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | (6652) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (209) gives:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_8_4 = e3
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (6605), (6653) are inconsistent by
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 75.44/11.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | (6654) all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6654) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) all_8_5 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (442), (6655) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_4_11 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6656) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) all_4_11 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (6657) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6658) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6659) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_8_8 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5372), (6660) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) e3 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (6661) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6662) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) all_8_14 = e3 | all_8_22 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6596) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) all_6_1 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6664) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_4_5 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (6665) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6666) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6667) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) all_6_1 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6668) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_4_5 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (6669) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6670) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) ~ (all_6_1 = e3)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_6_1 = e2 | all_6_1 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6672) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_6_1 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6673) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) all_4_5 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) ~ (all_4_8 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6675) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) ~ (all_4_8 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) ~ (all_4_15 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6677) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) ~ (all_4_15 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) ~ (e3 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (584), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) op(e2, e4) = all_10_1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (585), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) op(e2, e3) = all_10_2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (615), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) op(e4, e2) = all_10_55
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) op(e4, e3) = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (623), (6674) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) op(e3, e2) = all_10_54
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (196) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) all_8_12 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6685) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_4_3 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6686) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_4_3 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (6687) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6688) ~ (all_4_13 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (6687) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6689) ~ (e4 = e2)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (6687) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6690) op(e2, e4) = all_10_28
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (6687) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6691) op(e4, e2) = all_10_50
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (200) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6692) all_8_9 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (435), (6678), (6692) are inconsistent by
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #167.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6693) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6694) all_8_10 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (6694) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6695) all_4_16 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6695) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_4_16 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (595), (6696) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6697) op(e2, e3) = all_10_14
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (165) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6698) all_6_3 = e0
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (6366), (6698) are inconsistent by
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #239.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6699) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6699) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6700) all_6_3 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (568), (6700) are inconsistent by sub-proof
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #124.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6701) ~ (all_6_3 = e4)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6702) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (197) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6703) all_8_12 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6685), (6703) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6704) e3 = e2
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6704) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6705) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6705) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6706) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6706) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6707) all_8_13 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (558), (6707) are inconsistent by sub-proof
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #77.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6708) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6702) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6709) all_6_3 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (497), (6709) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6710) all_4_15 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6710) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6711) all_4_15 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (6711) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6712) ~ (e4 = e3)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (6711) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6713) op(e3, e4) = all_10_5
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (617), (6711) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6714) op(e4, e3) = all_10_73
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (6711) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6715) op(e1, e3) = all_10_72
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6652) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6716) all_8_7 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6627), (6716) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6717) e4 = e0
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6717) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6718) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6718) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6719) all_8_13 = e4 | all_8_21 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6720) all_6_16 = e0
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (6631), (6720) are inconsistent by
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #152.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6721) ~ (all_6_16 = e0)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6722) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6708) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6723) all_8_14 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6723) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6724) all_4_13 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6724) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6725) all_4_13 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (607), (6725) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6726) op(e3, e2) = all_10_32
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (634), (6725) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6727) op(e2, e3) = all_10_68
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (6725) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6728) op(e1, e3) = all_10_69
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (225) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6729) all_8_0 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6343), (6729) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6730) e3 = e1
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (6730) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6731) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6731) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6732) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_20 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6732) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6733) all_8_2 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6616), (6733) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6734) e3 = e0
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (6734) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6735) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6735) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6736) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6737) all_8_6 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (6737) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6738) all_4_2 = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (6738) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6739) op(e3, e4) = all_10_19
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (598), (6738) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6740) op(e3, e2) = all_10_18
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (6738) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6741) op(e4, e3) = all_10_48
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (631), (6738) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6742) op(e2, e3) = all_10_49
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (6738) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6743) op(e2, e4) = e3
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6722) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6744) all_6_16 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6744) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6745) all_4_8 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6745) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6746) all_4_8 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (6746) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6747) op(e4, e3) = all_10_30
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (628), (6746) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6748) op(e3, e4) = all_10_59
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (6746) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6749) op(e1, e3) = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6750) all_8_2 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6616), (6750) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6751) e4 = e0
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (577), (6751) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6752) $false
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6752) is inconsistent.
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6753) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6615) gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6754) all_6_7 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (490), (6754) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6755) all_4_11 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6755) implies:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6756) all_4_11 = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (6756) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6757) op(e4, e3) = all_10_12
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (6756) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6758) op(e4, e2) = all_10_13
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (625), (6756) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6759) op(e3, e4) = all_10_66
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (119), (6756) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6760) op(e3, e2) = e4
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (630), (6756) imply:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6761) op(e2, e4) = all_10_65
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_72,
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e3, e1, simplifying with (6715), (6728)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6762) all_10_69 = all_10_72
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_69, e3, e1, simplifying with (6728), (6749)
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6763) all_10_69 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e2, simplifying with (6697), (6742)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6764) all_10_14 = all_10_49
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_68,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_14, e3, e2, simplifying with (6697), (6727)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6765) all_10_14 = all_10_68
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_14,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_2, e3, e2, simplifying with (6681), (6697)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6766) all_10_2 = all_10_14
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_2,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6633), (6681) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6767) all_10_2 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_65,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e4, e2, simplifying with (6690), (6761)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6768) all_10_28 = all_10_65
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_28,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_1, e4, e2, simplifying with (6680), (6690)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6769) all_10_1 = all_10_28
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_10_1,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (6680), (6743) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6770) all_10_1 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_54,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e2, e3, simplifying with (6684), (6726)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6771) all_10_32 = all_10_54
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_32,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e3, simplifying with (6726), (6740)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6772) all_10_18 = all_10_32
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18, e2, e3, simplifying with (6740), (6760)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6773) all_10_18 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_66,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_59, e4, e3, simplifying with (6748), (6759)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6774) all_10_59 = all_10_66
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_59,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e4, e3, simplifying with (6739), (6748)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6775) all_10_19 = all_10_59
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_19,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_5, e4, e3, simplifying with (6713), (6739)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6776) all_10_5 = all_10_19
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_5,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (6624), (6713) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6777) all_10_5 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_55,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e4, simplifying with (6647), (6682)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6778) all_10_23 = all_10_55
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e2, e4, simplifying with (6612), (6647)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6779) all_10_23 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_23,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (6647), (6758)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6780) all_10_13 = all_10_23
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_50,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_13, e2, e4, simplifying with (6691), (6758)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6781) all_10_13 = all_10_50
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e3, e4, simplifying with (6741), (6747)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6782) all_10_30 = all_10_48
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_30, e3, e4, simplifying with (6683), (6747)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6783) all_10_30 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_48,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e4, simplifying with (6741), (6757)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6784) all_10_12 = all_10_48
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_73,
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_12, e3, e4, simplifying with (6714), (6757)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6785) all_10_12 = all_10_73
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6769), (6770) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6786) all_10_28 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6786) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6787) all_10_28 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6766), (6767) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6788) all_10_14 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6788) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6789) all_10_14 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6776), (6777) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6790) all_10_19 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6790) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6791) all_10_19 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6784), (6785) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6792) all_10_48 = all_10_73
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6792) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6793) all_10_48 = all_10_73
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6780), (6781) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6794) all_10_23 = all_10_50
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6794) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6795) all_10_23 = all_10_50
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6764), (6765) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6796) all_10_49 = all_10_68
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6764), (6789) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6797) all_10_49 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6772), (6773) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6798) all_10_32 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6798) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6799) all_10_32 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6775), (6791) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6800) all_10_59 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6800) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6801) all_10_59 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6779), (6795) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6802) all_10_50 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6778), (6795) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6803) all_10_50 = all_10_55
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6768), (6787) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6804) all_10_65 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6804) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6805) all_10_65 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6782), (6783) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6806) all_10_48 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6806) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6807) all_10_48 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6771), (6799) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6808) all_10_54 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6808) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6809) all_10_54 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6793), (6807) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6810) all_10_73 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6810) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6811) all_10_73 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6796), (6797) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6812) all_10_68 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6802), (6803) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6813) all_10_55 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6774), (6801) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6814) all_10_66 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6814) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6815) all_10_66 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6762), (6763) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6816) all_10_72 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6817) (( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)) | (( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3))
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6817) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6818) ( ~ (all_10_46 = e3) | all_10_47 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_48 = e2) | all_10_49 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | all_10_51 = e4) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | all_10_53 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6818) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6819) ~ (all_10_48 = e2) | all_10_49 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (6797), (6807), (6819) are inconsistent by
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6820) ( ~ (all_10_54 = e4) | all_10_55 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_57 = e2) | all_10_58 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e1) | all_10_60 = e3) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | all_10_62 = e3)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6820) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6821) ~ (all_10_54 = e4) | all_10_55 = e3
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (580), (6809), (6813), (6821) are inconsistent by
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6822) (( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)) | (( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6822) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6823) ( ~ (all_10_63 = e4) | all_10_64 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e3) | all_10_66 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_68 = e1) | all_10_69 = e2) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_70 = e0) | all_10_71 = e2)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6823) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6824) ~ (all_10_65 = e3) | all_10_66 = e2
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (582), (6805), (6815), (6824) are inconsistent by
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #181.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6825) (( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)) | (( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0))
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6825) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6826) ( ~ (all_10_72 = e4) | all_10_73 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_74 = e3) | all_10_75 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_76 = e2) | all_10_77 = e1) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_79 = e0) | all_10_80 = e1)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6826) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6827) ~ (all_10_72 = e4) | all_10_73 = e1
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6827) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6828) ~ (all_10_72 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6816), (6828) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6829) $false
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6829) is inconsistent.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6830) all_10_73 = e1
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6811), (6830) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6831) e2 = e1
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (6831) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6832) $false
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6832) is inconsistent.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6833) ( ~ (all_10_81 = e4) | all_10_82 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_83 = e3) | all_10_84 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_85 = e2) | all_10_86 = e0) & ( ~
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_87 = e1) | all_10_88 = e0)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6833) implies:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6834) ~ (all_10_81 = e4) | all_10_82 = e0
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (668), (6347), (6834) are inconsistent by
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6835) ~ (all_6_7 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (490), (6835) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6836) ~ (all_4_11 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6753) gives:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6837) all_8_3 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (576), (6332), (6837) are inconsistent by
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #191.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6838) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (442), (446), (574), (575), (6694), (6836), (6838)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #120.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6839) ~ (all_6_16 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (6839) imply:
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6840) ~ (all_4_8 = e4)
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (467), (574), (6719), (6840) are
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6841) ~ (all_8_6 = e3)
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (447), (6841) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6842) ~ (all_4_2 = e3)
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6736) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6843) all_8_6 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (6843) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6844) all_4_2 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6842), (6844) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6845) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6845) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6846) all_8_12 = e3 | all_8_20 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (464), (574), (578), (6685), (6846) are
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #217.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6847) ~ (all_8_14 = e3)
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (374), (6847) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6848) ~ (all_4_13 = e3)
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6663) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6849) all_8_14 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6849) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6850) all_4_13 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6850) implies:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6851) all_4_13 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6848), (6851) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6852) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6852) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6853) all_8_22 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6853) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6854) e3 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6854) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6855) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6855) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6856) all_6_3 = e2 | all_6_3 = e1
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (497), (567), (6678), (6856) are inconsistent by
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6857) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6857) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6858) all_8_11 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6644), (6858) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6859) e4 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6859) implies:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6860) e4 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6860) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6861) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6861) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6862) all_8_15 = e2 | all_8_23 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (541), (581), (582), (6364), (6862) are
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6863) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6863) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6864) all_8_13 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (458), (6676), (6864) are inconsistent by
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6865) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6663) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6866) all_8_14 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (374), (6866) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6867) all_4_13 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6867) implies:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6868) all_4_13 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (578), (581), (582), (6364), (6865), (6866)
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #43.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6869) all_8_22 = e3
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (6869) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6870) e3 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6870) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6871) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6871) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6872) all_6_1 = e1
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6872) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6873) all_4_5 = e1
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6352), (6873) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6874) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6874) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | (6875) all_8_18 = e4
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (6875) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | (6876) e4 = e2
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6876) imply:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | (6877) $false
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6877) is inconsistent.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | (6878) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 75.44/11.25 | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | BETA: splitting (6878) gives:
% 75.44/11.25 | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | Case 1:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | (6879) all_8_8 = e0
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (5372), (6879) are inconsistent by
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | (6880) all_8_11 = e0 | all_8_18 = e0
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (452), (582), (6368), (6880) are
% 75.44/11.25 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #244.
% 75.44/11.25 | | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | (6881) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 |
% 75.44/11.25 | | | | | | | | | | | | | | | | all_8_17 = e0
% 75.44/11.25 | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | | REF_CLOSE: (442), (444), (446), (580), (583), (6332), (6367),
% 75.44/11.25 | | | | | | | | | | | | | | | | (6609), (6881) are inconsistent by sub-proof #1.
% 75.44/11.25 | | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | (6882) all_8_9 = e0 | all_8_16 = e0
% 75.44/11.25 | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | | REF_CLOSE: (435), (438), (577), (6366), (6882) are
% 75.44/11.25 | | | | | | | | | | | | | | inconsistent by sub-proof #73.
% 75.44/11.25 | | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | (6883) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 |
% 75.44/11.25 | | | | | | | | | | all_6_18 = e1
% 75.44/11.25 | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | | REF_CLOSE: (507), (573), (5382), (6342), (6361), (6883) are
% 75.44/11.25 | | | | | | | | | | inconsistent by sub-proof #50.
% 75.44/11.25 | | | | | | | | | |
% 75.44/11.25 | | | | | | | | | End of split
% 75.44/11.25 | | | | | | | | |
% 75.44/11.25 | | | | | | | | Case 2:
% 75.44/11.25 | | | | | | | | |
% 75.44/11.25 | | | | | | | | | (6884) all_10_102 = e1
% 75.44/11.25 | | | | | | | | |
% 75.44/11.25 | | | | | | | | | REF_CLOSE: (382), (552), (6884) are inconsistent by sub-proof
% 75.44/11.25 | | | | | | | | | #56.
% 75.44/11.25 | | | | | | | | |
% 75.44/11.25 | | | | | | | | End of split
% 75.44/11.25 | | | | | | | |
% 75.44/11.25 | | | | | | | End of split
% 75.44/11.25 | | | | | | |
% 75.44/11.25 | | | | | | Case 2:
% 75.44/11.25 | | | | | | |
% 75.44/11.25 | | | | | | | (6885) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20 =
% 75.44/11.25 | | | | | | | e1
% 75.44/11.25 | | | | | | |
% 75.44/11.25 | | | | | | | REF_CLOSE: (439), (447), (456), (464), (552), (576), (5373),
% 75.44/11.25 | | | | | | | (6333), (6885) are inconsistent by sub-proof #14.
% 75.44/11.25 | | | | | | |
% 75.44/11.25 | | | | | | End of split
% 75.44/11.25 | | | | | |
% 75.44/11.25 | | | | | Case 2:
% 75.44/11.25 | | | | | |
% 75.44/11.25 | | | | | | (6886) all_10_103 = e1
% 75.58/11.25 | | | | | |
% 75.58/11.25 | | | | | | COMBINE_EQS: (379), (6886) imply:
% 75.58/11.25 | | | | | | (6887) all_4_8 = e1
% 75.58/11.25 | | | | | |
% 75.58/11.25 | | | | | | SIMP: (6887) implies:
% 75.58/11.25 | | | | | | (6888) all_4_8 = e1
% 75.58/11.25 | | | | | |
% 75.58/11.25 | | | | | | REDUCE: (559), (6888) imply:
% 75.58/11.25 | | | | | | (6889) $false
% 75.58/11.25 | | | | | |
% 75.58/11.25 | | | | | | CLOSE: (6889) is inconsistent.
% 75.58/11.25 | | | | | |
% 75.58/11.25 | | | | | End of split
% 75.58/11.25 | | | | |
% 75.58/11.25 | | | | End of split
% 75.58/11.25 | | | |
% 75.58/11.25 | | | Case 2:
% 75.58/11.25 | | | |
% 75.58/11.25 | | | | (6890) all_10_100 = e2
% 75.58/11.25 | | | |
% 75.58/11.25 | | | | COMBINE_EQS: (389), (6890) imply:
% 75.58/11.25 | | | | (6891) all_4_17 = e2
% 75.58/11.25 | | | |
% 75.58/11.25 | | | | SIMP: (6891) implies:
% 75.58/11.25 | | | | (6892) all_4_17 = e2
% 75.58/11.25 | | | |
% 75.58/11.25 | | | | REDUCE: (572), (6892) imply:
% 75.58/11.25 | | | | (6893) $false
% 75.58/11.25 | | | |
% 75.58/11.25 | | | | CLOSE: (6893) is inconsistent.
% 75.58/11.25 | | | |
% 75.58/11.25 | | | End of split
% 75.58/11.25 | | |
% 75.58/11.25 | | End of split
% 75.58/11.25 | |
% 75.58/11.25 | End of split
% 75.58/11.25 |
% 75.58/11.25 End of proof
% 75.58/11.25
% 75.58/11.25 Sub-proof #1 shows that the following formulas are inconsistent:
% 75.58/11.25 ----------------------------------------------------------------
% 75.58/11.25 (1) all_8_3 = e1
% 75.58/11.25 (2) ~ (e3 = e0)
% 75.58/11.25 (3) ~ (e1 = e0)
% 75.58/11.25 (4) all_8_5 = all_4_11
% 75.58/11.25 (5) all_8_10 = all_4_16
% 75.58/11.25 (6) ~ (all_4_11 = e0)
% 75.58/11.25 (7) ~ (all_4_16 = e0)
% 75.58/11.25 (8) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.25 (9) all_8_17 = e3
% 75.58/11.25
% 75.58/11.25 Begin of proof
% 75.58/11.25 |
% 75.58/11.25 | BETA: splitting (8) gives:
% 75.58/11.25 |
% 75.58/11.25 | Case 1:
% 75.58/11.25 | |
% 75.58/11.25 | | (10) all_8_3 = e0
% 75.58/11.25 | |
% 75.58/11.25 | | COMBINE_EQS: (1), (10) imply:
% 75.58/11.25 | | (11) e1 = e0
% 75.58/11.25 | |
% 75.58/11.25 | | REDUCE: (3), (11) imply:
% 75.58/11.25 | | (12) $false
% 75.58/11.25 | |
% 75.58/11.25 | | CLOSE: (12) is inconsistent.
% 75.58/11.25 | |
% 75.58/11.25 | Case 2:
% 75.58/11.25 | |
% 75.58/11.25 | | (13) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.25 | |
% 75.58/11.25 | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (13) are inconsistent by sub-proof
% 75.58/11.25 | | #37.
% 75.58/11.25 | |
% 75.58/11.25 | End of split
% 75.58/11.25 |
% 75.58/11.25 End of proof
% 75.58/11.25
% 75.58/11.25 Sub-proof #2 shows that the following formulas are inconsistent:
% 75.58/11.25 ----------------------------------------------------------------
% 75.58/11.25 (1) ~ (all_10_81 = e4) | all_10_82 = e0
% 75.58/11.25 (2) all_10_81 = e4
% 75.58/11.25 (3) all_10_82 = e1
% 75.58/11.25 (4) ~ (e1 = e0)
% 75.58/11.25
% 75.58/11.25 Begin of proof
% 75.58/11.25 |
% 75.58/11.25 | BETA: splitting (1) gives:
% 75.58/11.25 |
% 75.58/11.25 | Case 1:
% 75.58/11.25 | |
% 75.58/11.25 | | (5) ~ (all_10_81 = e4)
% 75.58/11.25 | |
% 75.58/11.25 | | REDUCE: (2), (5) imply:
% 75.58/11.25 | | (6) $false
% 75.58/11.25 | |
% 75.58/11.25 | | CLOSE: (6) is inconsistent.
% 75.58/11.25 | |
% 75.58/11.25 | Case 2:
% 75.58/11.25 | |
% 75.58/11.25 | | (7) all_10_82 = e0
% 75.58/11.25 | |
% 75.58/11.25 | | COMBINE_EQS: (3), (7) imply:
% 75.58/11.25 | | (8) e1 = e0
% 75.58/11.25 | |
% 75.58/11.25 | | REDUCE: (4), (8) imply:
% 75.58/11.25 | | (9) $false
% 75.58/11.25 | |
% 75.58/11.25 | | CLOSE: (9) is inconsistent.
% 75.58/11.25 | |
% 75.58/11.25 | End of split
% 75.58/11.25 |
% 75.58/11.25 End of proof
% 75.58/11.25
% 75.58/11.25 Sub-proof #3 shows that the following formulas are inconsistent:
% 75.58/11.25 ----------------------------------------------------------------
% 75.58/11.25 (1) ~ (e4 = e3)
% 75.58/11.25 (2) all_8_21 = e3
% 75.58/11.25 (3) all_8_13 = e4 | all_8_21 = e4
% 75.58/11.25 (4) all_8_13 = all_4_8
% 75.58/11.25 (5) ~ (all_4_8 = e4)
% 75.58/11.25
% 75.58/11.25 Begin of proof
% 75.58/11.25 |
% 75.58/11.25 | BETA: splitting (3) gives:
% 75.58/11.25 |
% 75.58/11.25 | Case 1:
% 75.58/11.25 | |
% 75.58/11.25 | | (6) all_8_13 = e4
% 75.58/11.25 | |
% 75.58/11.25 | | REF_CLOSE: (4), (5), (6) are inconsistent by sub-proof #79.
% 75.58/11.25 | |
% 75.58/11.25 | Case 2:
% 75.58/11.25 | |
% 75.58/11.25 | | (7) all_8_21 = e4
% 75.58/11.25 | |
% 75.58/11.25 | | COMBINE_EQS: (2), (7) imply:
% 75.58/11.25 | | (8) e4 = e3
% 75.58/11.25 | |
% 75.58/11.25 | | REDUCE: (1), (8) imply:
% 75.58/11.25 | | (9) $false
% 75.58/11.25 | |
% 75.58/11.25 | | CLOSE: (9) is inconsistent.
% 75.58/11.25 | |
% 75.58/11.25 | End of split
% 75.58/11.25 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #4 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ~ (e1 = e0)
% 75.58/11.26 (2) all_8_7 = e4
% 75.58/11.26 (3) ~ (e2 = e0)
% 75.58/11.26 (4) ~ (e4 = e0)
% 75.58/11.26 (5) ~ (all_4_17 = e0)
% 75.58/11.26 (6) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 75.58/11.26 (7) all_8_8 = e1
% 75.58/11.26 (8) all_8_11 = all_4_17
% 75.58/11.26 (9) all_8_18 = e2
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (6) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (10) all_8_7 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #29.
% 75.58/11.26 | |
% 75.58/11.26 | Case 2:
% 75.58/11.26 | |
% 75.58/11.26 | | (11) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | BETA: splitting (11) gives:
% 75.58/11.26 | |
% 75.58/11.26 | | Case 1:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (12) all_8_8 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | REF_CLOSE: (1), (7), (12) are inconsistent by sub-proof #5.
% 75.58/11.26 | | |
% 75.58/11.26 | | Case 2:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (13) all_8_11 = e0 | all_8_18 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | REF_CLOSE: (3), (5), (8), (9), (13) are inconsistent by sub-proof #244.
% 75.58/11.26 | | |
% 75.58/11.26 | | End of split
% 75.58/11.26 | |
% 75.58/11.26 | End of split
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #5 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) all_8_8 = e1
% 75.58/11.26 (2) all_8_8 = e0
% 75.58/11.26 (3) ~ (e1 = e0)
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.26 | (4) e1 = e0
% 75.58/11.26 |
% 75.58/11.26 | SIMP: (4) implies:
% 75.58/11.26 | (5) e1 = e0
% 75.58/11.26 |
% 75.58/11.26 | REDUCE: (3), (5) imply:
% 75.58/11.26 | (6) $false
% 75.58/11.26 |
% 75.58/11.26 | CLOSE: (6) is inconsistent.
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #6 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ~ (e3 = e0)
% 75.58/11.26 (2) ~ (e3 = e1)
% 75.58/11.26 (3) all_8_23 = e1
% 75.58/11.26 (4) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.26 (5) e3 = e0
% 75.58/11.26 (6) all_8_15 = e3
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | SIMP: (5) implies:
% 75.58/11.26 | (7) e3 = e0
% 75.58/11.26 |
% 75.58/11.26 | COMBINE_EQS: (6), (7) imply:
% 75.58/11.26 | (8) all_8_15 = e0
% 75.58/11.26 |
% 75.58/11.26 | REF_CLOSE: (1), (2), (3), (4), (8) are inconsistent by sub-proof #60.
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #7 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.26 (2) all_8_9 = e0
% 75.58/11.26 (3) ~ (e3 = e2)
% 75.58/11.26 (4) ~ (e4 = e2)
% 75.58/11.26 (5) ~ (e2 = e0)
% 75.58/11.26 (6) all_8_0 = all_4_0
% 75.58/11.26 (7) all_8_4 = e3
% 75.58/11.26 (8) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15
% 75.58/11.26 = e0
% 75.58/11.26 (9) ~ (all_4_0 = all_4_3)
% 75.58/11.26 (10) ~ (all_4_3 = e1)
% 75.58/11.26 (11) ~ (all_4_3 = e0)
% 75.58/11.26 (12) ~ (all_4_3 = e4)
% 75.58/11.26 (13) all_8_1 = e1
% 75.58/11.26 (14) ~ (all_4_3 = e3)
% 75.58/11.26 (15) all_6_15 = all_4_3
% 75.58/11.26 (16) ~ (e2 = e1)
% 75.58/11.26 (17) all_8_16 = e4
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (8) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (18) all_6_15 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | COMBINE_EQS: (15), (18) imply:
% 75.58/11.26 | | (19) all_4_3 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | REDUCE: (11), (19) imply:
% 75.58/11.26 | | (20) $false
% 75.58/11.26 | |
% 75.58/11.26 | | CLOSE: (20) is inconsistent.
% 75.58/11.26 | |
% 75.58/11.26 | Case 2:
% 75.58/11.26 | |
% 75.58/11.26 | | (21) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.58/11.26 | |
% 75.58/11.26 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (9), (10), (12), (13), (14),
% 75.58/11.26 | | (15), (16), (17), (21) are inconsistent by sub-proof #65.
% 75.58/11.26 | |
% 75.58/11.26 | End of split
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #8 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) unit = e3
% 75.58/11.26 (2) unit = e0
% 75.58/11.26 (3) ~ (e3 = e0)
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.26 | (4) e3 = e0
% 75.58/11.26 |
% 75.58/11.26 | SIMP: (4) implies:
% 75.58/11.26 | (5) e3 = e0
% 75.58/11.26 |
% 75.58/11.26 | REDUCE: (3), (5) imply:
% 75.58/11.26 | (6) $false
% 75.58/11.26 |
% 75.58/11.26 | CLOSE: (6) is inconsistent.
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #9 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ~ (e3 = e0)
% 75.58/11.26 (2) ~ (e1 = e0)
% 75.58/11.26 (3) ~ (all_4_15 = e0)
% 75.58/11.26 (4) all_8_9 = all_4_15
% 75.58/11.26 (5) all_8_0 = all_4_0
% 75.58/11.26 (6) all_8_4 = e3
% 75.58/11.26 (7) ~ (e4 = e0)
% 75.58/11.26 (8) all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.26 (9) all_8_1 = e1
% 75.58/11.26 (10) ~ (all_4_0 = e0)
% 75.58/11.26 (11) all_8_16 = e4
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (8) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (12) all_8_0 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | REF_CLOSE: (5), (10), (12) are inconsistent by sub-proof #52.
% 75.58/11.26 | |
% 75.58/11.26 | Case 2:
% 75.58/11.26 | |
% 75.58/11.26 | | (13) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | BETA: splitting (13) gives:
% 75.58/11.26 | |
% 75.58/11.26 | | Case 1:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (14) all_8_1 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | REF_CLOSE: (2), (9), (14) are inconsistent by sub-proof #13.
% 75.58/11.26 | | |
% 75.58/11.26 | | Case 2:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (15) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | REF_CLOSE: (1), (3), (4), (6), (7), (11), (15) are inconsistent by
% 75.58/11.26 | | | sub-proof #72.
% 75.58/11.26 | | |
% 75.58/11.26 | | End of split
% 75.58/11.26 | |
% 75.58/11.26 | End of split
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #10 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ~ (e3 = e0)
% 75.58/11.26 (2) ~ (all_4_16 = e2)
% 75.58/11.26 (3) ~ (e3 = e2)
% 75.58/11.26 (4) ~ (e4 = e2)
% 75.58/11.26 (5) ~ (e1 = e0)
% 75.58/11.26 (6) ~ (e2 = e0)
% 75.58/11.26 (7) ~ (all_6_8 = e0)
% 75.58/11.26 (8) all_8_5 = e4
% 75.58/11.26 (9) all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 =
% 75.58/11.26 e0
% 75.58/11.26 (10) all_8_5 = all_4_11
% 75.58/11.26 (11) all_6_8 = all_4_16
% 75.58/11.26 (12) all_8_2 = e1
% 75.58/11.26 (13) all_8_10 = all_4_16
% 75.58/11.26 (14) ~ (all_4_11 = e0)
% 75.58/11.26 (15) all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 75.58/11.26 e2
% 75.58/11.26 (16) ~ (e2 = e1)
% 75.58/11.26 (17) all_8_17 = e3
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | REDUCE: (7), (11) imply:
% 75.58/11.26 | (18) ~ (all_4_16 = e0)
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (9) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (19) all_8_2 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | REF_CLOSE: (5), (12), (19) are inconsistent by sub-proof #51.
% 75.58/11.26 | |
% 75.58/11.26 | Case 2:
% 75.58/11.26 | |
% 75.58/11.26 | | (20) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.26 | |
% 75.58/11.26 | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (10), (12), (13), (14), (15), (16),
% 75.58/11.26 | | (17), (18), (20) are inconsistent by sub-proof #11.
% 75.58/11.26 | |
% 75.58/11.26 | End of split
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #11 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ~ (e3 = e0)
% 75.58/11.26 (2) ~ (all_4_16 = e2)
% 75.58/11.26 (3) ~ (e3 = e2)
% 75.58/11.26 (4) ~ (e4 = e2)
% 75.58/11.26 (5) ~ (e2 = e0)
% 75.58/11.26 (6) all_8_5 = e4
% 75.58/11.26 (7) all_8_5 = all_4_11
% 75.58/11.26 (8) all_8_2 = e1
% 75.58/11.26 (9) all_8_10 = all_4_16
% 75.58/11.26 (10) ~ (all_4_11 = e0)
% 75.58/11.26 (11) ~ (all_4_16 = e0)
% 75.58/11.26 (12) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.26 (13) all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 =
% 75.58/11.26 e2
% 75.58/11.26 (14) ~ (e2 = e1)
% 75.58/11.26 (15) all_8_17 = e3
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (13) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (16) all_8_2 = e2
% 75.58/11.26 | |
% 75.58/11.26 | | COMBINE_EQS: (8), (16) imply:
% 75.58/11.26 | | (17) e2 = e1
% 75.58/11.26 | |
% 75.58/11.26 | | REDUCE: (14), (17) imply:
% 75.58/11.26 | | (18) $false
% 75.58/11.26 | |
% 75.58/11.26 | | CLOSE: (18) is inconsistent.
% 75.58/11.26 | |
% 75.58/11.26 | Case 2:
% 75.58/11.26 | |
% 75.58/11.26 | | (19) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 75.58/11.26 | |
% 75.58/11.26 | | BETA: splitting (12) gives:
% 75.58/11.26 | |
% 75.58/11.26 | | Case 1:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (20) all_8_3 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | BETA: splitting (19) gives:
% 75.58/11.26 | | |
% 75.58/11.26 | | | Case 1:
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | (21) all_8_3 = e2
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | COMBINE_EQS: (20), (21) imply:
% 75.58/11.26 | | | | (22) e2 = e0
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | REDUCE: (5), (22) imply:
% 75.58/11.26 | | | | (23) $false
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | CLOSE: (23) is inconsistent.
% 75.58/11.26 | | | |
% 75.58/11.26 | | | Case 2:
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | (24) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | BETA: splitting (24) gives:
% 75.58/11.26 | | | |
% 75.58/11.26 | | | | Case 1:
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | (25) all_8_5 = e2
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | COMBINE_EQS: (6), (25) imply:
% 75.58/11.26 | | | | | (26) e4 = e2
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | SIMP: (26) implies:
% 75.58/11.26 | | | | | (27) e4 = e2
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | REDUCE: (4), (27) imply:
% 75.58/11.26 | | | | | (28) $false
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | CLOSE: (28) is inconsistent.
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | Case 2:
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | (29) all_8_10 = e2 | all_8_17 = e2
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | BETA: splitting (29) gives:
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | | Case 1:
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | | (30) all_8_10 = e2
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | | REF_CLOSE: (2), (9), (30) are inconsistent by sub-proof #49.
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | Case 2:
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | | (31) all_8_17 = e2
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | | REF_CLOSE: (3), (15), (31) are inconsistent by sub-proof #212.
% 75.58/11.26 | | | | | |
% 75.58/11.26 | | | | | End of split
% 75.58/11.26 | | | | |
% 75.58/11.26 | | | | End of split
% 75.58/11.26 | | | |
% 75.58/11.26 | | | End of split
% 75.58/11.26 | | |
% 75.58/11.26 | | Case 2:
% 75.58/11.26 | | |
% 75.58/11.26 | | | (32) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.26 | | |
% 75.58/11.26 | | | REF_CLOSE: (1), (7), (9), (10), (11), (15), (32) are inconsistent by
% 75.58/11.26 | | | sub-proof #37.
% 75.58/11.26 | | |
% 75.58/11.26 | | End of split
% 75.58/11.26 | |
% 75.58/11.26 | End of split
% 75.58/11.26 |
% 75.58/11.26 End of proof
% 75.58/11.26
% 75.58/11.26 Sub-proof #12 shows that the following formulas are inconsistent:
% 75.58/11.26 ----------------------------------------------------------------
% 75.58/11.26 (1) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 75.58/11.26 (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 75.58/11.26 (all_10_111 = e0) & ~ (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 75.58/11.26 (all_10_114 = e0))
% 75.58/11.26 (2) all_10_112 = e1
% 75.58/11.26 (3) all_10_114 = e0
% 75.58/11.26
% 75.58/11.26 Begin of proof
% 75.58/11.26 |
% 75.58/11.26 | BETA: splitting (1) gives:
% 75.58/11.26 |
% 75.58/11.26 | Case 1:
% 75.58/11.26 | |
% 75.58/11.26 | | (4) ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) &
% 75.58/11.26 | | ~ (all_10_113 = e1) & ~ (all_10_114 = e1)
% 75.58/11.26 | |
% 75.58/11.26 | | ALPHA: (4) implies:
% 75.58/11.26 | | (5) ~ (all_10_112 = e1)
% 75.58/11.26 | |
% 75.58/11.26 | | REDUCE: (2), (5) imply:
% 75.58/11.27 | | (6) $false
% 75.58/11.27 | |
% 75.58/11.27 | | CLOSE: (6) is inconsistent.
% 75.58/11.27 | |
% 75.58/11.27 | Case 2:
% 75.58/11.27 | |
% 75.58/11.27 | | (7) ~ (all_10_110 = e0) & ~ (all_10_111 = e0) & ~ (all_10_112 = e0) &
% 75.58/11.27 | | ~ (all_10_113 = e0) & ~ (all_10_114 = e0)
% 75.58/11.27 | |
% 75.58/11.27 | | ALPHA: (7) implies:
% 75.58/11.27 | | (8) ~ (all_10_114 = e0)
% 75.58/11.27 | |
% 75.58/11.27 | | REDUCE: (3), (8) imply:
% 75.58/11.27 | | (9) $false
% 75.58/11.27 | |
% 75.58/11.27 | | CLOSE: (9) is inconsistent.
% 75.58/11.27 | |
% 75.58/11.27 | End of split
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #13 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_8_1 = e1
% 75.58/11.27 (2) all_8_1 = e0
% 75.58/11.27 (3) ~ (e1 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.27 | (4) e1 = e0
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (4) implies:
% 75.58/11.27 | (5) e1 = e0
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (5) imply:
% 75.58/11.27 | (6) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (6) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #14 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_8_2 = all_4_1
% 75.58/11.27 (2) all_8_12 = all_4_3
% 75.58/11.27 (3) all_8_20 = e4
% 75.58/11.27 (4) ~ (all_4_3 = e1)
% 75.58/11.27 (5) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 75.58/11.27 (6) ~ (e4 = e1)
% 75.58/11.27 (7) ~ (all_4_2 = e1)
% 75.58/11.27 (8) all_8_6 = all_4_2
% 75.58/11.27 (9) ~ (all_4_1 = e1)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | BETA: splitting (5) gives:
% 75.58/11.27 |
% 75.58/11.27 | Case 1:
% 75.58/11.27 | |
% 75.58/11.27 | | (10) all_8_2 = e1
% 75.58/11.27 | |
% 75.58/11.27 | | REF_CLOSE: (1), (9), (10) are inconsistent by sub-proof #264.
% 75.58/11.27 | |
% 75.58/11.27 | Case 2:
% 75.58/11.27 | |
% 75.58/11.27 | | (11) all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 75.58/11.27 | |
% 75.58/11.27 | | BETA: splitting (11) gives:
% 75.58/11.27 | |
% 75.58/11.27 | | Case 1:
% 75.58/11.27 | | |
% 75.58/11.27 | | | (12) all_8_6 = e1
% 75.58/11.27 | | |
% 75.58/11.27 | | | REF_CLOSE: (7), (8), (12) are inconsistent by sub-proof #99.
% 75.58/11.27 | | |
% 75.58/11.27 | | Case 2:
% 75.58/11.27 | | |
% 75.58/11.27 | | | (13) all_8_12 = e1 | all_8_20 = e1
% 75.58/11.27 | | |
% 75.58/11.27 | | | REF_CLOSE: (2), (3), (4), (6), (13) are inconsistent by sub-proof #260.
% 75.58/11.27 | | |
% 75.58/11.27 | | End of split
% 75.58/11.27 | |
% 75.58/11.27 | End of split
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #15 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_8_0 = all_4_0
% 75.58/11.27 (2) all_8_0 = e1
% 75.58/11.27 (3) ~ (all_4_0 = e1)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.27 | (4) all_4_0 = e1
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (4) implies:
% 75.58/11.27 | (5) all_4_0 = e1
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (5) imply:
% 75.58/11.27 | (6) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (6) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #16 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_103 = e4
% 75.58/11.27 (2) all_10_103 = e0
% 75.58/11.27 (3) ~ (e4 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.27 | (4) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (4) implies:
% 75.58/11.27 | (5) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (5) imply:
% 75.58/11.27 | (6) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (6) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #17 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_114 = e4 & ( ~ (all_10_106 = e0) | unit = e4)
% 75.58/11.27 (2) all_10_114 = e0
% 75.58/11.27 (3) ~ (e4 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | ALPHA: (1) implies:
% 75.58/11.27 | (4) all_10_114 = e4
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.27 | (5) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (5) imply:
% 75.58/11.27 | (6) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (6) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #18 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_110 = e4 & unit = e4
% 75.58/11.27 (2) unit = e0
% 75.58/11.27 (3) ~ (e4 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | ALPHA: (1) implies:
% 75.58/11.27 | (4) unit = e4
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.27 | (5) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (5) implies:
% 75.58/11.27 | (6) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (6) imply:
% 75.58/11.27 | (7) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (7) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #19 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) ~ (e4 = e3)
% 75.58/11.27 (2) unit = e0
% 75.58/11.27 (3) all_10_107 = e3
% 75.58/11.27 (4) ~ (e4 = e0)
% 75.58/11.27 (5) ~ (e4 = e1)
% 75.58/11.27 (6) (all_10_105 = e4 & ( ~ (all_10_102 = e0) | unit = e4)) | (all_10_106 = e4
% 75.58/11.27 & unit = e4) | (all_10_107 = e4 & ( ~ (all_10_106 = e3) | unit = e4))
% 75.58/11.27 (7) all_10_105 = e1
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | BETA: splitting (6) gives:
% 75.58/11.27 |
% 75.58/11.27 | Case 1:
% 75.58/11.27 | |
% 75.58/11.27 | | (8) all_10_105 = e4 & ( ~ (all_10_102 = e0) | unit = e4)
% 75.58/11.27 | |
% 75.58/11.27 | | ALPHA: (8) implies:
% 75.58/11.27 | | (9) all_10_105 = e4
% 75.58/11.27 | |
% 75.58/11.27 | | COMBINE_EQS: (7), (9) imply:
% 75.58/11.27 | | (10) e4 = e1
% 75.58/11.27 | |
% 75.58/11.27 | | SIMP: (10) implies:
% 75.58/11.27 | | (11) e4 = e1
% 75.58/11.27 | |
% 75.58/11.27 | | REDUCE: (5), (11) imply:
% 75.58/11.27 | | (12) $false
% 75.58/11.27 | |
% 75.58/11.27 | | CLOSE: (12) is inconsistent.
% 75.58/11.27 | |
% 75.58/11.27 | Case 2:
% 75.58/11.27 | |
% 75.58/11.27 | | (13) (all_10_106 = e4 & unit = e4) | (all_10_107 = e4 & ( ~ (all_10_106 =
% 75.58/11.27 | | e3) | unit = e4))
% 75.58/11.27 | |
% 75.58/11.27 | | BETA: splitting (13) gives:
% 75.58/11.27 | |
% 75.58/11.27 | | Case 1:
% 75.58/11.27 | | |
% 75.58/11.27 | | | (14) all_10_106 = e4 & unit = e4
% 75.58/11.27 | | |
% 75.58/11.27 | | | ALPHA: (14) implies:
% 75.58/11.27 | | | (15) unit = e4
% 75.58/11.27 | | |
% 75.58/11.27 | | | COMBINE_EQS: (2), (15) imply:
% 75.58/11.27 | | | (16) e4 = e0
% 75.58/11.27 | | |
% 75.58/11.27 | | | REDUCE: (4), (16) imply:
% 75.58/11.27 | | | (17) $false
% 75.58/11.27 | | |
% 75.58/11.27 | | | CLOSE: (17) is inconsistent.
% 75.58/11.27 | | |
% 75.58/11.27 | | Case 2:
% 75.58/11.27 | | |
% 75.58/11.27 | | | (18) all_10_107 = e4 & ( ~ (all_10_106 = e3) | unit = e4)
% 75.58/11.27 | | |
% 75.58/11.27 | | | ALPHA: (18) implies:
% 75.58/11.27 | | | (19) all_10_107 = e4
% 75.58/11.27 | | |
% 75.58/11.27 | | | COMBINE_EQS: (3), (19) imply:
% 75.58/11.27 | | | (20) e4 = e3
% 75.58/11.27 | | |
% 75.58/11.27 | | | SIMP: (20) implies:
% 75.58/11.27 | | | (21) e4 = e3
% 75.58/11.27 | | |
% 75.58/11.27 | | | REDUCE: (1), (21) imply:
% 75.58/11.27 | | | (22) $false
% 75.58/11.27 | | |
% 75.58/11.27 | | | CLOSE: (22) is inconsistent.
% 75.58/11.27 | | |
% 75.58/11.27 | | End of split
% 75.58/11.27 | |
% 75.58/11.27 | End of split
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #20 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_104 = e4
% 75.58/11.27 (2) all_10_104 = e0
% 75.58/11.27 (3) ~ (e4 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.27 | (4) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (4) implies:
% 75.58/11.27 | (5) e4 = e0
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (5) imply:
% 75.58/11.27 | (6) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (6) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #21 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_101 = e4 & ( ~ (all_10_98 = e0) | unit = e4)
% 75.58/11.27 (2) all_10_101 = e2
% 75.58/11.27 (3) ~ (e4 = e2)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | ALPHA: (1) implies:
% 75.58/11.27 | (4) all_10_101 = e4
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.27 | (5) e4 = e2
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (5) implies:
% 75.58/11.27 | (6) e4 = e2
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (6) imply:
% 75.58/11.27 | (7) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (7) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #22 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) all_10_97 = e4 & ( ~ (all_10_94 = e0) | unit = e4)
% 75.58/11.27 (2) all_10_97 = e3
% 75.58/11.27 (3) ~ (e4 = e3)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | ALPHA: (1) implies:
% 75.58/11.27 | (4) all_10_97 = e4
% 75.58/11.27 |
% 75.58/11.27 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.27 | (5) e4 = e3
% 75.58/11.27 |
% 75.58/11.27 | SIMP: (5) implies:
% 75.58/11.27 | (6) e4 = e3
% 75.58/11.27 |
% 75.58/11.27 | REDUCE: (3), (6) imply:
% 75.58/11.27 | (7) $false
% 75.58/11.27 |
% 75.58/11.27 | CLOSE: (7) is inconsistent.
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #23 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) ~ (all_10_110 = e0) | unit = e4
% 75.58/11.27 (2) all_10_110 = e0
% 75.58/11.27 (3) unit = e0
% 75.58/11.27 (4) ~ (e4 = e0)
% 75.58/11.27
% 75.58/11.27 Begin of proof
% 75.58/11.27 |
% 75.58/11.27 | BETA: splitting (1) gives:
% 75.58/11.27 |
% 75.58/11.27 | Case 1:
% 75.58/11.27 | |
% 75.58/11.27 | | (5) ~ (all_10_110 = e0)
% 75.58/11.27 | |
% 75.58/11.27 | | REDUCE: (2), (5) imply:
% 75.58/11.27 | | (6) $false
% 75.58/11.27 | |
% 75.58/11.27 | | CLOSE: (6) is inconsistent.
% 75.58/11.27 | |
% 75.58/11.27 | Case 2:
% 75.58/11.27 | |
% 75.58/11.27 | | (7) unit = e4
% 75.58/11.27 | |
% 75.58/11.27 | | COMBINE_EQS: (3), (7) imply:
% 75.58/11.27 | | (8) e4 = e0
% 75.58/11.27 | |
% 75.58/11.27 | | REDUCE: (4), (8) imply:
% 75.58/11.27 | | (9) $false
% 75.58/11.27 | |
% 75.58/11.27 | | CLOSE: (9) is inconsistent.
% 75.58/11.27 | |
% 75.58/11.27 | End of split
% 75.58/11.27 |
% 75.58/11.27 End of proof
% 75.58/11.27
% 75.58/11.27 Sub-proof #24 shows that the following formulas are inconsistent:
% 75.58/11.27 ----------------------------------------------------------------
% 75.58/11.27 (1) ~ (all_4_11 = all_4_12)
% 75.58/11.27 (2) ~ (all_4_16 = e3)
% 75.58/11.27 (3) all_10_94 = e0
% 75.58/11.27 (4) ~ (all_4_7 = e3)
% 75.58/11.27 (5) ~ (e3 = e1)
% 75.58/11.27 (6) ~ (e2 = e0)
% 75.58/11.27 (7) all_6_11 = all_4_7
% 75.58/11.27 (8) ~ (all_4_12 = e1)
% 75.58/11.27 (9) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 75.58/11.27 e3
% 75.58/11.27 (10) all_8_23 = e1
% 75.58/11.27 (11) all_8_0 = all_4_0
% 75.58/11.27 (12) all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 =
% 75.58/11.27 e0
% 75.58/11.27 (13) ~ (all_4_18 = e3)
% 75.58/11.27 (14) ~ (all_4_12 = all_4_17)
% 75.58/11.27 (15) all_8_10 = all_4_16
% 75.58/11.27 (16) all_10_2 = all_4_7
% 75.58/11.27 (17) ~ (all_4_11 = e1)
% 75.58/11.27 (18) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 75.58/11.27 = e0
% 75.58/11.27 (19) all_8_4 = e1
% 75.58/11.27 (20) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11
% 75.58/11.27 = e0
% 75.58/11.27 (21) ~ (all_4_7 = e2)
% 75.58/11.27 (22) ~ (all_4_11 = e0)
% 75.58/11.27 (23) ~ (all_4_11 = e3)
% 75.58/11.27 (24) all_6_7 = all_4_11
% 75.58/11.27 (25) all_10_1 = e1
% 75.58/11.27 (26) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 75.58/11.27 (27) all_8_15 = all_4_18
% 75.58/11.27 (28) ~ (all_4_0 = e0)
% 75.58/11.27 (29) ~ (all_4_7 = e1)
% 75.58/11.27 (30) ~ (all_4_7 = all_4_12)
% 75.58/11.28 (31) ~ (all_4_11 = e2)
% 75.58/11.28 (32) all_8_11 = all_4_17
% 75.58/11.28 (33) ~ (all_10_2 = e4) | all_10_1 = e3 | all_10_90 = all_10_94
% 75.58/11.28 (34) all_6_12 = all_4_12
% 75.58/11.28 (35) all_8_16 = e4
% 75.58/11.28 (36) ~ (all_4_12 = e2)
% 75.58/11.28 (37) all_8_1 = e2
% 75.58/11.28 (38) all_10_90 = e2
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | BETA: splitting (33) gives:
% 75.58/11.28 |
% 75.58/11.28 | Case 1:
% 75.58/11.28 | |
% 75.58/11.28 | | (39) ~ (all_10_2 = e4)
% 75.58/11.28 | |
% 75.58/11.28 | | REDUCE: (16), (39) imply:
% 75.58/11.28 | | (40) ~ (all_4_7 = e4)
% 75.58/11.28 | |
% 75.58/11.28 | | BETA: splitting (26) gives:
% 75.58/11.28 | |
% 75.58/11.28 | | Case 1:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (41) all_6_7 = e0
% 75.58/11.28 | | |
% 75.58/11.28 | | | COMBINE_EQS: (24), (41) imply:
% 75.58/11.28 | | | (42) all_4_11 = e0
% 75.58/11.28 | | |
% 75.58/11.28 | | | REDUCE: (22), (42) imply:
% 75.58/11.28 | | | (43) $false
% 75.58/11.28 | | |
% 75.58/11.28 | | | CLOSE: (43) is inconsistent.
% 75.58/11.28 | | |
% 75.58/11.28 | | Case 2:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (44) ~ (all_6_7 = e0)
% 75.58/11.28 | | | (45) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.58/11.28 | | |
% 75.58/11.28 | | | BETA: splitting (20) gives:
% 75.58/11.28 | | |
% 75.58/11.28 | | | Case 1:
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | (46) all_6_11 = e0
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | COMBINE_EQS: (7), (46) imply:
% 75.58/11.28 | | | | (47) all_4_7 = e0
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REDUCE: (30), (47) imply:
% 75.58/11.28 | | | | (48) ~ (all_4_12 = e0)
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | SIMP: (48) implies:
% 75.58/11.28 | | | | (49) ~ (all_4_12 = e0)
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REDUCE: (21), (47) imply:
% 75.58/11.28 | | | | (50) ~ (e2 = e0)
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REDUCE: (29), (47) imply:
% 75.58/11.28 | | | | (51) ~ (e1 = e0)
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | SIMP: (51) implies:
% 75.58/11.28 | | | | (52) ~ (e1 = e0)
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | BETA: splitting (12) gives:
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | Case 1:
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | | (53) all_8_0 = e0
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | | REF_CLOSE: (11), (28), (53) are inconsistent by sub-proof #52.
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | Case 2:
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | | (54) all_8_1 = e0 | all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | | BETA: splitting (45) gives:
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | | Case 1:
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | (55) all_6_7 = e4
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | COMBINE_EQS: (24), (55) imply:
% 75.58/11.28 | | | | | | (56) all_4_11 = e4
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | REDUCE: (1), (56) imply:
% 75.58/11.28 | | | | | | (57) ~ (all_4_12 = e4)
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | SIMP: (57) implies:
% 75.58/11.28 | | | | | | (58) ~ (all_4_12 = e4)
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | REDUCE: (22), (56) imply:
% 75.58/11.28 | | | | | | (59) ~ (e4 = e0)
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | BETA: splitting (18) gives:
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | Case 1:
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | | (60) all_6_12 = e0
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | | REF_CLOSE: (34), (49), (60) are inconsistent by sub-proof #274.
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | Case 2:
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | | (61) ~ (all_6_12 = e0)
% 75.58/11.28 | | | | | | | (62) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 =
% 75.58/11.28 | | | | | | | e1
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | | BETA: splitting (62) gives:
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | | Case 1:
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | | (63) all_6_12 = e4
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | | REF_CLOSE: (34), (58), (63) are inconsistent by sub-proof #273.
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | Case 2:
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | | (64) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | | BETA: splitting (64) gives:
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | | Case 1:
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | (65) all_6_12 = e3
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | COMBINE_EQS: (34), (65) imply:
% 75.58/11.28 | | | | | | | | | (66) all_4_12 = e3
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | SIMP: (66) implies:
% 75.58/11.28 | | | | | | | | | (67) all_4_12 = e3
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | REDUCE: (14), (67) imply:
% 75.58/11.28 | | | | | | | | | (68) ~ (all_4_17 = e3)
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | SIMP: (68) implies:
% 75.58/11.28 | | | | | | | | | (69) ~ (all_4_17 = e3)
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | REDUCE: (49), (67) imply:
% 75.58/11.28 | | | | | | | | | (70) ~ (e3 = e0)
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | BETA: splitting (54) gives:
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | Case 1:
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | (71) all_8_1 = e0
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | COMBINE_EQS: (37), (71) imply:
% 75.58/11.28 | | | | | | | | | | (72) e2 = e0
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | SIMP: (72) implies:
% 75.58/11.28 | | | | | | | | | | (73) e2 = e0
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | REDUCE: (6), (73) imply:
% 75.58/11.28 | | | | | | | | | | (74) $false
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | CLOSE: (74) is inconsistent.
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | Case 2:
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | (75) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | BETA: splitting (75) gives:
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | Case 1:
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | (76) all_8_4 = e0
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | REF_CLOSE: (19), (52), (76) are inconsistent by sub-proof
% 75.58/11.28 | | | | | | | | | | | #140.
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | Case 2:
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | (77) all_8_9 = e0 | all_8_16 = e0
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | BETA: splitting (77) gives:
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | Case 1:
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | (78) all_8_9 = e0
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | REF_CLOSE: (2), (5), (9), (10), (13), (15), (27), (32), (69),
% 75.58/11.28 | | | | | | | | | | | | (70), (78) are inconsistent by sub-proof #25.
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | Case 2:
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | (79) all_8_16 = e0
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | COMBINE_EQS: (35), (79) imply:
% 75.58/11.28 | | | | | | | | | | | | (80) e4 = e0
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | REDUCE: (59), (80) imply:
% 75.58/11.28 | | | | | | | | | | | | (81) $false
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | | CLOSE: (81) is inconsistent.
% 75.58/11.28 | | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | | End of split
% 75.58/11.28 | | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | | End of split
% 75.58/11.28 | | | | | | | | | |
% 75.58/11.28 | | | | | | | | | End of split
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | Case 2:
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | (82) all_6_12 = e2 | all_6_12 = e1
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | | REF_CLOSE: (8), (34), (36), (82) are inconsistent by sub-proof
% 75.58/11.28 | | | | | | | | | #272.
% 75.58/11.28 | | | | | | | | |
% 75.58/11.28 | | | | | | | | End of split
% 75.58/11.28 | | | | | | | |
% 75.58/11.28 | | | | | | | End of split
% 75.58/11.28 | | | | | | |
% 75.58/11.28 | | | | | | End of split
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | Case 2:
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | (83) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | | REF_CLOSE: (17), (23), (24), (31), (83) are inconsistent by
% 75.58/11.28 | | | | | | sub-proof #265.
% 75.58/11.28 | | | | | |
% 75.58/11.28 | | | | | End of split
% 75.58/11.28 | | | | |
% 75.58/11.28 | | | | End of split
% 75.58/11.28 | | | |
% 75.58/11.28 | | | Case 2:
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | (84) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REF_CLOSE: (4), (7), (21), (29), (40), (84) are inconsistent by
% 75.58/11.28 | | | | sub-proof #111.
% 75.58/11.28 | | | |
% 75.58/11.28 | | | End of split
% 75.58/11.28 | | |
% 75.58/11.28 | | End of split
% 75.58/11.28 | |
% 75.58/11.28 | Case 2:
% 75.58/11.28 | |
% 75.58/11.28 | | (85) all_10_1 = e3 | all_10_90 = all_10_94
% 75.58/11.28 | |
% 75.58/11.28 | | BETA: splitting (85) gives:
% 75.58/11.28 | |
% 75.58/11.28 | | Case 1:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (86) all_10_1 = e3
% 75.58/11.28 | | |
% 75.58/11.28 | | | COMBINE_EQS: (25), (86) imply:
% 75.58/11.28 | | | (87) e3 = e1
% 75.58/11.28 | | |
% 75.58/11.28 | | | SIMP: (87) implies:
% 75.58/11.28 | | | (88) e3 = e1
% 75.58/11.28 | | |
% 75.58/11.28 | | | REDUCE: (5), (88) imply:
% 75.58/11.28 | | | (89) $false
% 75.58/11.28 | | |
% 75.58/11.28 | | | CLOSE: (89) is inconsistent.
% 75.58/11.28 | | |
% 75.58/11.28 | | Case 2:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (90) all_10_90 = all_10_94
% 75.58/11.28 | | |
% 75.58/11.28 | | | COMBINE_EQS: (38), (90) imply:
% 75.58/11.28 | | | (91) all_10_94 = e2
% 75.58/11.28 | | |
% 75.58/11.28 | | | COMBINE_EQS: (3), (91) imply:
% 75.58/11.28 | | | (92) e2 = e0
% 75.58/11.28 | | |
% 75.58/11.28 | | | REDUCE: (6), (92) imply:
% 75.58/11.28 | | | (93) $false
% 75.58/11.28 | | |
% 75.58/11.28 | | | CLOSE: (93) is inconsistent.
% 75.58/11.28 | | |
% 75.58/11.28 | | End of split
% 75.58/11.28 | |
% 75.58/11.28 | End of split
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #25 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) ~ (all_4_16 = e3)
% 75.58/11.28 (2) ~ (e3 = e0)
% 75.58/11.28 (3) all_8_9 = e0
% 75.58/11.28 (4) ~ (e3 = e1)
% 75.58/11.28 (5) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 75.58/11.28 e3
% 75.58/11.28 (6) all_8_23 = e1
% 75.58/11.28 (7) ~ (all_4_18 = e3)
% 75.58/11.28 (8) all_8_10 = all_4_16
% 75.58/11.28 (9) all_8_15 = all_4_18
% 75.58/11.28 (10) all_8_11 = all_4_17
% 75.58/11.28 (11) ~ (all_4_17 = e3)
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | BETA: splitting (5) gives:
% 75.58/11.28 |
% 75.58/11.28 | Case 1:
% 75.58/11.28 | |
% 75.58/11.28 | | (12) all_8_9 = e3
% 75.58/11.28 | |
% 75.58/11.28 | | COMBINE_EQS: (3), (12) imply:
% 75.58/11.28 | | (13) e3 = e0
% 75.58/11.28 | |
% 75.58/11.28 | | REDUCE: (2), (13) imply:
% 75.58/11.28 | | (14) $false
% 75.58/11.28 | |
% 75.58/11.28 | | CLOSE: (14) is inconsistent.
% 75.58/11.28 | |
% 75.58/11.28 | Case 2:
% 75.58/11.28 | |
% 75.58/11.28 | | (15) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.28 | |
% 75.58/11.28 | | BETA: splitting (15) gives:
% 75.58/11.28 | |
% 75.58/11.28 | | Case 1:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (16) all_8_10 = e3
% 75.58/11.28 | | |
% 75.58/11.28 | | | REF_CLOSE: (1), (8), (16) are inconsistent by sub-proof #61.
% 75.58/11.28 | | |
% 75.58/11.28 | | Case 2:
% 75.58/11.28 | | |
% 75.58/11.28 | | | (17) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.28 | | |
% 75.58/11.28 | | | BETA: splitting (17) gives:
% 75.58/11.28 | | |
% 75.58/11.28 | | | Case 1:
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | (18) all_8_11 = e3
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REF_CLOSE: (10), (11), (18) are inconsistent by sub-proof #26.
% 75.58/11.28 | | | |
% 75.58/11.28 | | | Case 2:
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | (19) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.28 | | | |
% 75.58/11.28 | | | | REF_CLOSE: (4), (6), (7), (9), (19) are inconsistent by sub-proof #178.
% 75.58/11.28 | | | |
% 75.58/11.28 | | | End of split
% 75.58/11.28 | | |
% 75.58/11.28 | | End of split
% 75.58/11.28 | |
% 75.58/11.28 | End of split
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #26 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) all_8_11 = all_4_17
% 75.58/11.28 (2) all_8_11 = e3
% 75.58/11.28 (3) ~ (all_4_17 = e3)
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.28 | (4) all_4_17 = e3
% 75.58/11.28 |
% 75.58/11.28 | SIMP: (4) implies:
% 75.58/11.28 | (5) all_4_17 = e3
% 75.58/11.28 |
% 75.58/11.28 | REDUCE: (3), (5) imply:
% 75.58/11.28 | (6) $false
% 75.58/11.28 |
% 75.58/11.28 | CLOSE: (6) is inconsistent.
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #27 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) ~ (e3 = e2)
% 75.58/11.28 (2) unit = e0
% 75.58/11.28 (3) ~ (e2 = e0)
% 75.58/11.28 (4) all_8_21 = e3
% 75.58/11.28 (5) all_8_13 = e2 | all_8_21 = e2
% 75.58/11.28 (6) all_8_13 = e2
% 75.58/11.28 (7) unit = e2
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | COMBINE_EQS: (2), (7) imply:
% 75.58/11.28 | (8) e2 = e0
% 75.58/11.28 |
% 75.58/11.28 | COMBINE_EQS: (6), (8) imply:
% 75.58/11.28 | (9) all_8_13 = e0
% 75.58/11.28 |
% 75.58/11.28 | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #195.
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #28 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) ~ (e3 = e2)
% 75.58/11.28 (2) ~ (e2 = e0)
% 75.58/11.28 (3) all_8_21 = e3
% 75.58/11.28 (4) all_8_13 = e2 | all_8_21 = e2
% 75.58/11.28 (5) e2 = e0
% 75.58/11.28 (6) all_8_13 = e2
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | SIMP: (5) implies:
% 75.58/11.28 | (7) e2 = e0
% 75.58/11.28 |
% 75.58/11.28 | COMBINE_EQS: (6), (7) imply:
% 75.58/11.28 | (8) all_8_13 = e0
% 75.58/11.28 |
% 75.58/11.28 | REF_CLOSE: (1), (2), (3), (4), (8) are inconsistent by sub-proof #195.
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #29 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) all_8_7 = e4
% 75.58/11.28 (2) all_8_7 = e0
% 75.58/11.28 (3) ~ (e4 = e0)
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.28 | (4) e4 = e0
% 75.58/11.28 |
% 75.58/11.28 | SIMP: (4) implies:
% 75.58/11.28 | (5) e4 = e0
% 75.58/11.28 |
% 75.58/11.28 | REDUCE: (3), (5) imply:
% 75.58/11.28 | (6) $false
% 75.58/11.28 |
% 75.58/11.28 | CLOSE: (6) is inconsistent.
% 75.58/11.28 |
% 75.58/11.28 End of proof
% 75.58/11.28
% 75.58/11.28 Sub-proof #30 shows that the following formulas are inconsistent:
% 75.58/11.28 ----------------------------------------------------------------
% 75.58/11.28 (1) ~ (all_4_13 = e2)
% 75.58/11.28 (2) ~ (all_4_13 = e4)
% 75.58/11.28 (3) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 75.58/11.28 (4) all_6_17 = all_4_13
% 75.58/11.28 (5) ~ (all_4_13 = e3)
% 75.58/11.28 (6) ~ (all_4_13 = e1)
% 75.58/11.28
% 75.58/11.28 Begin of proof
% 75.58/11.28 |
% 75.58/11.28 | BETA: splitting (3) gives:
% 75.58/11.28 |
% 75.58/11.28 | Case 1:
% 75.58/11.28 | |
% 75.58/11.28 | | (7) all_6_17 = e4
% 75.58/11.28 | |
% 75.58/11.28 | | COMBINE_EQS: (4), (7) imply:
% 75.58/11.28 | | (8) all_4_13 = e4
% 75.58/11.28 | |
% 75.58/11.28 | | REDUCE: (2), (8) imply:
% 75.58/11.28 | | (9) $false
% 75.58/11.28 | |
% 75.58/11.28 | | CLOSE: (9) is inconsistent.
% 75.58/11.28 | |
% 75.58/11.28 | Case 2:
% 75.58/11.28 | |
% 75.58/11.28 | | (10) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 75.58/11.28 | |
% 75.58/11.28 | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #144.
% 75.58/11.28 | |
% 75.58/11.28 | End of split
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #31 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) all_8_12 = all_4_3
% 75.58/11.29 (2) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 75.58/11.29 (3) ~ (all_4_15 = e4)
% 75.58/11.29 (4) ~ (all_4_15 = e0)
% 75.58/11.29 (5) all_8_0 = all_4_0
% 75.58/11.29 (6) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15
% 75.58/11.29 = e0
% 75.58/11.29 (7) ~ (all_4_0 = all_4_3)
% 75.58/11.29 (8) ~ (all_4_3 = e2)
% 75.58/11.29 (9) ~ (all_4_3 = e1)
% 75.58/11.29 (10) all_6_0 = all_4_0
% 75.58/11.29 (11) ~ (all_4_15 = e1)
% 75.58/11.29 (12) ~ (all_4_3 = e0)
% 75.58/11.29 (13) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 75.58/11.29 (14) ~ (all_4_3 = e4)
% 75.58/11.29 (15) ~ (all_4_0 = e0)
% 75.58/11.29 (16) ~ (all_4_0 = all_4_15)
% 75.58/11.29 (17) all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 | all_8_19
% 75.58/11.29 = e3
% 75.58/11.29 (18) all_8_0 = e2 | all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 | all_8_20 =
% 75.58/11.29 e2
% 75.58/11.29 (19) ~ (all_4_0 = e1)
% 75.58/11.29 (20) ~ (all_4_15 = e3)
% 75.58/11.29 (21) all_6_3 = all_4_15
% 75.58/11.29 (22) all_6_15 = all_4_3
% 75.58/11.29 (23) ~ (all_4_0 = e4)
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | BETA: splitting (17) gives:
% 75.58/11.29 |
% 75.58/11.29 | Case 1:
% 75.58/11.29 | |
% 75.58/11.29 | | (24) all_8_12 = e3
% 75.58/11.29 | |
% 75.58/11.29 | | COMBINE_EQS: (1), (24) imply:
% 75.58/11.29 | | (25) all_4_3 = e3
% 75.58/11.29 | |
% 75.58/11.29 | | SIMP: (25) implies:
% 75.58/11.29 | | (26) all_4_3 = e3
% 75.58/11.29 | |
% 75.58/11.29 | | REDUCE: (7), (26) imply:
% 75.58/11.29 | | (27) ~ (all_4_0 = e3)
% 75.58/11.29 | |
% 75.58/11.29 | | REF_CLOSE: (2), (3), (4), (5), (10), (11), (13), (15), (16), (18), (19),
% 75.58/11.29 | | (20), (21), (23), (27) are inconsistent by sub-proof #32.
% 75.58/11.29 | |
% 75.58/11.29 | Case 2:
% 75.58/11.29 | |
% 75.58/11.29 | | (28) ~ (all_8_12 = e3)
% 75.58/11.29 | |
% 75.58/11.29 | | REDUCE: (1), (28) imply:
% 75.58/11.29 | | (29) ~ (all_4_3 = e3)
% 75.58/11.29 | |
% 75.58/11.29 | | REF_CLOSE: (6), (8), (9), (12), (14), (22), (29) are inconsistent by
% 75.58/11.29 | | sub-proof #102.
% 75.58/11.29 | |
% 75.58/11.29 | End of split
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #32 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0
% 75.58/11.29 (2) ~ (all_4_15 = e4)
% 75.58/11.29 (3) ~ (all_4_15 = e0)
% 75.58/11.29 (4) ~ (all_4_0 = e3)
% 75.58/11.29 (5) all_8_0 = all_4_0
% 75.58/11.29 (6) all_6_0 = all_4_0
% 75.58/11.29 (7) ~ (all_4_15 = e1)
% 75.58/11.29 (8) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0
% 75.58/11.29 (9) ~ (all_4_0 = e0)
% 75.58/11.29 (10) ~ (all_4_0 = all_4_15)
% 75.58/11.29 (11) all_8_0 = e2 | all_8_2 = e2 | all_8_6 = e2 | all_8_12 = e2 | all_8_20 =
% 75.58/11.29 e2
% 75.58/11.29 (12) ~ (all_4_0 = e1)
% 75.58/11.29 (13) ~ (all_4_15 = e3)
% 75.58/11.29 (14) all_6_3 = all_4_15
% 75.58/11.29 (15) ~ (all_4_0 = e4)
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | BETA: splitting (1) gives:
% 75.58/11.29 |
% 75.58/11.29 | Case 1:
% 75.58/11.29 | |
% 75.58/11.29 | | (16) all_6_0 = e0
% 75.58/11.29 | |
% 75.58/11.29 | | REF_CLOSE: (6), (9), (16) are inconsistent by sub-proof #33.
% 75.58/11.29 | |
% 75.58/11.29 | Case 2:
% 75.58/11.29 | |
% 75.58/11.29 | | (17) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 75.58/11.29 | |
% 75.58/11.29 | | BETA: splitting (17) gives:
% 75.58/11.29 | |
% 75.58/11.29 | | Case 1:
% 75.58/11.29 | | |
% 75.58/11.29 | | | (18) all_6_0 = e4
% 75.58/11.29 | | |
% 75.58/11.29 | | | REF_CLOSE: (6), (15), (18) are inconsistent by sub-proof #156.
% 75.58/11.29 | | |
% 75.58/11.29 | | Case 2:
% 75.58/11.29 | | |
% 75.58/11.29 | | | (19) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 75.58/11.29 | | |
% 75.58/11.29 | | | BETA: splitting (8) gives:
% 75.58/11.29 | | |
% 75.58/11.29 | | | Case 1:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | (20) all_6_3 = e0
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | REF_CLOSE: (3), (14), (20) are inconsistent by sub-proof #239.
% 75.58/11.29 | | | |
% 75.58/11.29 | | | Case 2:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | (21) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | BETA: splitting (21) gives:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | Case 1:
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | (22) all_6_3 = e4
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REF_CLOSE: (2), (14), (22) are inconsistent by sub-proof #124.
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | Case 2:
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | (23) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | BETA: splitting (11) gives:
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | Case 1:
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | (24) all_8_0 = e2
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | COMBINE_EQS: (5), (24) imply:
% 75.58/11.29 | | | | | | (25) all_4_0 = e2
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | SIMP: (25) implies:
% 75.58/11.29 | | | | | | (26) all_4_0 = e2
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | REDUCE: (10), (26) imply:
% 75.58/11.29 | | | | | | (27) ~ (all_4_15 = e2)
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | SIMP: (27) implies:
% 75.58/11.29 | | | | | | (28) ~ (all_4_15 = e2)
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | REF_CLOSE: (7), (13), (14), (23), (28) are inconsistent by sub-proof
% 75.58/11.29 | | | | | | #220.
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | Case 2:
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | (29) ~ (all_8_0 = e2)
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | REDUCE: (5), (29) imply:
% 75.58/11.29 | | | | | | (30) ~ (all_4_0 = e2)
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | | REF_CLOSE: (4), (6), (12), (19), (30) are inconsistent by sub-proof
% 75.58/11.29 | | | | | | #154.
% 75.58/11.29 | | | | | |
% 75.58/11.29 | | | | | End of split
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | End of split
% 75.58/11.29 | | | |
% 75.58/11.29 | | | End of split
% 75.58/11.29 | | |
% 75.58/11.29 | | End of split
% 75.58/11.29 | |
% 75.58/11.29 | End of split
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #33 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) all_6_0 = all_4_0
% 75.58/11.29 (2) all_6_0 = e0
% 75.58/11.29 (3) ~ (all_4_0 = e0)
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.29 | (4) all_4_0 = e0
% 75.58/11.29 |
% 75.58/11.29 | SIMP: (4) implies:
% 75.58/11.29 | (5) all_4_0 = e0
% 75.58/11.29 |
% 75.58/11.29 | REDUCE: (3), (5) imply:
% 75.58/11.29 | (6) $false
% 75.58/11.29 |
% 75.58/11.29 | CLOSE: (6) is inconsistent.
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #34 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 75.58/11.29 (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 75.58/11.29 (all_10_111 = e0) & ~ (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 75.58/11.29 (all_10_114 = e0))
% 75.58/11.29 (2) all_10_111 = e1
% 75.58/11.29 (3) all_10_114 = e0
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | BETA: splitting (1) gives:
% 75.58/11.29 |
% 75.58/11.29 | Case 1:
% 75.58/11.29 | |
% 75.58/11.29 | | (4) ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) &
% 75.58/11.29 | | ~ (all_10_113 = e1) & ~ (all_10_114 = e1)
% 75.58/11.29 | |
% 75.58/11.29 | | ALPHA: (4) implies:
% 75.58/11.29 | | (5) ~ (all_10_111 = e1)
% 75.58/11.29 | |
% 75.58/11.29 | | REDUCE: (2), (5) imply:
% 75.58/11.29 | | (6) $false
% 75.58/11.29 | |
% 75.58/11.29 | | CLOSE: (6) is inconsistent.
% 75.58/11.29 | |
% 75.58/11.29 | Case 2:
% 75.58/11.29 | |
% 75.58/11.29 | | (7) ~ (all_10_110 = e0) & ~ (all_10_111 = e0) & ~ (all_10_112 = e0) &
% 75.58/11.29 | | ~ (all_10_113 = e0) & ~ (all_10_114 = e0)
% 75.58/11.29 | |
% 75.58/11.29 | | ALPHA: (7) implies:
% 75.58/11.29 | | (8) ~ (all_10_114 = e0)
% 75.58/11.29 | |
% 75.58/11.29 | | REDUCE: (3), (8) imply:
% 75.58/11.29 | | (9) $false
% 75.58/11.29 | |
% 75.58/11.29 | | CLOSE: (9) is inconsistent.
% 75.58/11.29 | |
% 75.58/11.29 | End of split
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #35 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) all_8_7 = e4
% 75.58/11.29 (2) all_8_7 = e2
% 75.58/11.29 (3) ~ (e4 = e2)
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.29 | (4) e4 = e2
% 75.58/11.29 |
% 75.58/11.29 | SIMP: (4) implies:
% 75.58/11.29 | (5) e4 = e2
% 75.58/11.29 |
% 75.58/11.29 | REDUCE: (3), (5) imply:
% 75.58/11.29 | (6) $false
% 75.58/11.29 |
% 75.58/11.29 | CLOSE: (6) is inconsistent.
% 75.58/11.29 |
% 75.58/11.29 End of proof
% 75.58/11.29
% 75.58/11.29 Sub-proof #36 shows that the following formulas are inconsistent:
% 75.58/11.29 ----------------------------------------------------------------
% 75.58/11.29 (1) ~ (all_4_16 = e3)
% 75.58/11.29 (2) ~ (all_4_10 = e2)
% 75.58/11.29 (3) all_8_7 = e4 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 75.58/11.29 (4) all_6_2 = all_4_10
% 75.58/11.29 (5) ~ (e4 = e2)
% 75.58/11.29 (6) ~ (e1 = e0)
% 75.58/11.29 (7) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 75.58/11.29 e3
% 75.58/11.29 (8) ~ (all_4_15 = e0)
% 75.58/11.29 (9) all_8_9 = all_4_15
% 75.58/11.29 (10) all_8_23 = e1
% 75.58/11.29 (11) ~ (e4 = e0)
% 75.58/11.29 (12) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23
% 75.58/11.29 = e0
% 75.58/11.29 (13) ~ (all_4_10 = e0)
% 75.58/11.29 (14) all_8_10 = all_4_16
% 75.58/11.29 (15) all_8_7 = e1
% 75.58/11.29 (16) ~ (e4 = e1)
% 75.58/11.29 (17) all_8_8 = all_4_12
% 75.58/11.29 (18) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.58/11.29 (19) ~ (all_4_16 = e0)
% 75.58/11.29 (20) ~ (all_4_10 = all_4_15)
% 75.58/11.29 (21) ~ (all_4_12 = e4)
% 75.58/11.29 (22) ~ (all_4_10 = e1)
% 75.58/11.29 (23) ~ (all_4_10 = e4)
% 75.58/11.29 (24) all_8_18 = e2
% 75.58/11.29
% 75.58/11.29 Begin of proof
% 75.58/11.29 |
% 75.58/11.29 | BETA: splitting (3) gives:
% 75.58/11.29 |
% 75.58/11.29 | Case 1:
% 75.58/11.29 | |
% 75.58/11.29 | | (25) all_8_7 = e4
% 75.58/11.29 | |
% 75.58/11.29 | | COMBINE_EQS: (15), (25) imply:
% 75.58/11.29 | | (26) e4 = e1
% 75.58/11.29 | |
% 75.58/11.29 | | REDUCE: (16), (26) imply:
% 75.58/11.29 | | (27) $false
% 75.58/11.29 | |
% 75.58/11.29 | | CLOSE: (27) is inconsistent.
% 75.58/11.29 | |
% 75.58/11.29 | Case 2:
% 75.58/11.29 | |
% 75.58/11.29 | | (28) all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4
% 75.58/11.29 | |
% 75.58/11.29 | | BETA: splitting (28) gives:
% 75.58/11.29 | |
% 75.58/11.29 | | Case 1:
% 75.58/11.29 | | |
% 75.58/11.29 | | | (29) all_8_8 = e4
% 75.58/11.29 | | |
% 75.58/11.29 | | | REF_CLOSE: (17), (21), (29) are inconsistent by sub-proof #126.
% 75.58/11.29 | | |
% 75.58/11.29 | | Case 2:
% 75.58/11.29 | | |
% 75.58/11.29 | | | (30) all_8_11 = e4 | all_8_18 = e4
% 75.58/11.29 | | |
% 75.58/11.29 | | | BETA: splitting (30) gives:
% 75.58/11.29 | | |
% 75.58/11.29 | | | Case 1:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | (31) all_8_11 = e4
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | BETA: splitting (18) gives:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | Case 1:
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | (32) all_6_2 = e3
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | COMBINE_EQS: (4), (32) imply:
% 75.58/11.29 | | | | | (33) all_4_10 = e3
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REDUCE: (20), (33) imply:
% 75.58/11.29 | | | | | (34) ~ (all_4_15 = e3)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | SIMP: (34) implies:
% 75.58/11.29 | | | | | (35) ~ (all_4_15 = e3)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REDUCE: (23), (33) imply:
% 75.58/11.29 | | | | | (36) ~ (e4 = e3)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | SIMP: (36) implies:
% 75.58/11.29 | | | | | (37) ~ (e4 = e3)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REDUCE: (22), (33) imply:
% 75.58/11.29 | | | | | (38) ~ (e3 = e1)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REDUCE: (13), (33) imply:
% 75.58/11.29 | | | | | (39) ~ (e3 = e0)
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REF_CLOSE: (1), (6), (7), (8), (9), (10), (11), (12), (14), (19),
% 75.58/11.29 | | | | | (31), (35), (37), (38), (39) are inconsistent by sub-proof
% 75.58/11.29 | | | | | #58.
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | Case 2:
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | (40) all_6_2 = e2 | all_6_2 = e1
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | | REF_CLOSE: (2), (4), (22), (40) are inconsistent by sub-proof #258.
% 75.58/11.29 | | | | |
% 75.58/11.29 | | | | End of split
% 75.58/11.29 | | | |
% 75.58/11.29 | | | Case 2:
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | (41) all_8_18 = e4
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | COMBINE_EQS: (24), (41) imply:
% 75.58/11.29 | | | | (42) e4 = e2
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | REDUCE: (5), (42) imply:
% 75.58/11.29 | | | | (43) $false
% 75.58/11.29 | | | |
% 75.58/11.29 | | | | CLOSE: (43) is inconsistent.
% 75.58/11.29 | | | |
% 75.58/11.29 | | | End of split
% 75.58/11.29 | | |
% 75.58/11.29 | | End of split
% 75.58/11.29 | |
% 75.58/11.29 | End of split
% 75.58/11.29 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #37 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) ~ (e3 = e0)
% 75.58/11.30 (2) all_8_5 = all_4_11
% 75.58/11.30 (3) all_8_10 = all_4_16
% 75.58/11.30 (4) ~ (all_4_11 = e0)
% 75.58/11.30 (5) ~ (all_4_16 = e0)
% 75.58/11.30 (6) all_8_17 = e3
% 75.58/11.30 (7) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (7) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (8) all_8_5 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #46.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (9) all_8_10 = e0 | all_8_17 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REF_CLOSE: (1), (3), (5), (6), (9) are inconsistent by sub-proof #42.
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #38 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) ~ (all_10_54 = e4) | all_10_55 = e3
% 75.58/11.30 (2) all_10_54 = e4
% 75.58/11.30 (3) all_10_55 = e0
% 75.58/11.30 (4) ~ (e3 = e0)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (1) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (5) ~ (all_10_54 = e4)
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (2), (5) imply:
% 75.58/11.30 | | (6) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (6) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (7) all_10_55 = e3
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (3), (7) imply:
% 75.58/11.30 | | (8) e3 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | SIMP: (8) implies:
% 75.58/11.30 | | (9) e3 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (4), (9) imply:
% 75.58/11.30 | | (10) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (10) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #39 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_10 = e4
% 75.58/11.30 (2) all_8_3 = e0
% 75.58/11.30 (3) ~ (e4 = e2)
% 75.58/11.30 (4) ~ (e2 = e0)
% 75.58/11.30 (5) all_8_15 = e2
% 75.58/11.30 (6) all_8_23 = e1
% 75.58/11.30 (7) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 (8) ~ (e2 = e1)
% 75.58/11.30 (9) all_8_11 = all_4_17
% 75.58/11.30 (10) all_8_3 = e2
% 75.58/11.30 (11) ~ (all_4_17 = e2)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (2), (10) imply:
% 75.58/11.30 | (12) e2 = e0
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (5), (12) imply:
% 75.58/11.30 | (13) all_8_15 = e0
% 75.58/11.30 |
% 75.58/11.30 | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (11), (13) are inconsistent by
% 75.58/11.30 | sub-proof #40.
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #40 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_10 = e4
% 75.58/11.30 (2) ~ (e4 = e2)
% 75.58/11.30 (3) ~ (e2 = e0)
% 75.58/11.30 (4) all_8_23 = e1
% 75.58/11.30 (5) all_8_10 = e2 | all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 (6) all_8_15 = e0
% 75.58/11.30 (7) ~ (e2 = e1)
% 75.58/11.30 (8) all_8_11 = all_4_17
% 75.58/11.30 (9) ~ (all_4_17 = e2)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (5) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (10) all_8_10 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (1), (10) imply:
% 75.58/11.30 | | (11) e4 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | SIMP: (11) implies:
% 75.58/11.30 | | (12) e4 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (2), (12) imply:
% 75.58/11.30 | | (13) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (13) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (14) all_8_11 = e2 | all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | BETA: splitting (14) gives:
% 75.58/11.30 | |
% 75.58/11.30 | | Case 1:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (15) all_8_11 = e2
% 75.58/11.30 | | |
% 75.58/11.30 | | | REF_CLOSE: (8), (9), (15) are inconsistent by sub-proof #48.
% 75.58/11.30 | | |
% 75.58/11.30 | | Case 2:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (16) all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 | | |
% 75.58/11.30 | | | REF_CLOSE: (3), (4), (6), (7), (16) are inconsistent by sub-proof #47.
% 75.58/11.30 | | |
% 75.58/11.30 | | End of split
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #41 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_19 = e1
% 75.58/11.30 (2) ~ (e1 = e0)
% 75.58/11.30 (3) ~ (e2 = e0)
% 75.58/11.30 (4) all_8_23 = e1
% 75.58/11.30 (5) ~ (all_4_8 = e0)
% 75.58/11.30 (6) all_8_13 = all_4_8
% 75.58/11.30 (7) all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 (8) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0
% 75.58/11.30 (9) all_8_14 = all_4_13
% 75.58/11.30 (10) ~ (e2 = e1)
% 75.58/11.30 (11) ~ (all_4_13 = e0)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (8) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (12) all_8_13 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REF_CLOSE: (5), (6), (12) are inconsistent by sub-proof #161.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (13) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | BETA: splitting (13) gives:
% 75.58/11.30 | |
% 75.58/11.30 | | Case 1:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (14) all_8_14 = e0
% 75.58/11.30 | | |
% 75.58/11.30 | | | REF_CLOSE: (9), (11), (14) are inconsistent by sub-proof #234.
% 75.58/11.30 | | |
% 75.58/11.30 | | Case 2:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (15) all_8_15 = e0 | all_8_19 = e0
% 75.58/11.30 | | |
% 75.58/11.30 | | | BETA: splitting (15) gives:
% 75.58/11.30 | | |
% 75.58/11.30 | | | Case 1:
% 75.58/11.30 | | | |
% 75.58/11.30 | | | | (16) all_8_15 = e0
% 75.58/11.30 | | | |
% 75.58/11.30 | | | | REF_CLOSE: (3), (4), (7), (10), (16) are inconsistent by sub-proof #47.
% 75.58/11.30 | | | |
% 75.58/11.30 | | | Case 2:
% 75.58/11.30 | | | |
% 75.58/11.30 | | | | (17) all_8_19 = e0
% 75.58/11.30 | | | |
% 75.58/11.30 | | | | REF_CLOSE: (1), (2), (17) are inconsistent by sub-proof #228.
% 75.58/11.30 | | | |
% 75.58/11.30 | | | End of split
% 75.58/11.30 | | |
% 75.58/11.30 | | End of split
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #42 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) ~ (e3 = e0)
% 75.58/11.30 (2) all_8_10 = e0 | all_8_17 = e0
% 75.58/11.30 (3) all_8_10 = all_4_16
% 75.58/11.30 (4) ~ (all_4_16 = e0)
% 75.58/11.30 (5) all_8_17 = e3
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (2) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (6) all_8_10 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (3), (6) imply:
% 75.58/11.30 | | (7) all_4_16 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (4), (7) imply:
% 75.58/11.30 | | (8) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (8) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (9) all_8_17 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REF_CLOSE: (1), (5), (9) are inconsistent by sub-proof #165.
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #43 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_19 = e1
% 75.58/11.30 (2) ~ (e3 = e2)
% 75.58/11.30 (3) ~ (e2 = e0)
% 75.58/11.30 (4) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 75.58/11.30 (5) all_8_14 = e3
% 75.58/11.30 (6) all_8_15 = e0
% 75.58/11.30 (7) ~ (e2 = e1)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (4) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (8) all_8_14 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (5), (8) imply:
% 75.58/11.30 | | (9) e3 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | SIMP: (9) implies:
% 75.58/11.30 | | (10) e3 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (2), (10) imply:
% 75.58/11.30 | | (11) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (11) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (12) all_8_15 = e2 | all_8_19 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | BETA: splitting (12) gives:
% 75.58/11.30 | |
% 75.58/11.30 | | Case 1:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (13) all_8_15 = e2
% 75.58/11.30 | | |
% 75.58/11.30 | | | COMBINE_EQS: (6), (13) imply:
% 75.58/11.30 | | | (14) e2 = e0
% 75.58/11.30 | | |
% 75.58/11.30 | | | REDUCE: (3), (14) imply:
% 75.58/11.30 | | | (15) $false
% 75.58/11.30 | | |
% 75.58/11.30 | | | CLOSE: (15) is inconsistent.
% 75.58/11.30 | | |
% 75.58/11.30 | | Case 2:
% 75.58/11.30 | | |
% 75.58/11.30 | | | (16) all_8_19 = e2
% 75.58/11.30 | | |
% 75.58/11.30 | | | COMBINE_EQS: (1), (16) imply:
% 75.58/11.30 | | | (17) e2 = e1
% 75.58/11.30 | | |
% 75.58/11.30 | | | REDUCE: (7), (17) imply:
% 75.58/11.30 | | | (18) $false
% 75.58/11.30 | | |
% 75.58/11.30 | | | CLOSE: (18) is inconsistent.
% 75.58/11.30 | | |
% 75.58/11.30 | | End of split
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #44 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) ~ (all_10_46 = e3) | all_10_47 = e4
% 75.58/11.30 (2) all_10_46 = e3
% 75.58/11.30 (3) all_10_47 = e0
% 75.58/11.30 (4) ~ (e4 = e0)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (1) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (5) ~ (all_10_46 = e3)
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (2), (5) imply:
% 75.58/11.30 | | (6) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (6) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (7) all_10_47 = e4
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (3), (7) imply:
% 75.58/11.30 | | (8) e4 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | SIMP: (8) implies:
% 75.58/11.30 | | (9) e4 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (4), (9) imply:
% 75.58/11.30 | | (10) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (10) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #45 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_0 = e2
% 75.58/11.30 (2) all_8_0 = e1
% 75.58/11.30 (3) ~ (e2 = e1)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.30 | (4) e2 = e1
% 75.58/11.30 |
% 75.58/11.30 | SIMP: (4) implies:
% 75.58/11.30 | (5) e2 = e1
% 75.58/11.30 |
% 75.58/11.30 | REDUCE: (3), (5) imply:
% 75.58/11.30 | (6) $false
% 75.58/11.30 |
% 75.58/11.30 | CLOSE: (6) is inconsistent.
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #46 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_5 = all_4_11
% 75.58/11.30 (2) all_8_5 = e0
% 75.58/11.30 (3) ~ (all_4_11 = e0)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.30 | (4) all_4_11 = e0
% 75.58/11.30 |
% 75.58/11.30 | SIMP: (4) implies:
% 75.58/11.30 | (5) all_4_11 = e0
% 75.58/11.30 |
% 75.58/11.30 | REDUCE: (3), (5) imply:
% 75.58/11.30 | (6) $false
% 75.58/11.30 |
% 75.58/11.30 | CLOSE: (6) is inconsistent.
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #47 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) ~ (e2 = e0)
% 75.58/11.30 (2) all_8_23 = e1
% 75.58/11.30 (3) all_8_15 = e2 | all_8_23 = e2
% 75.58/11.30 (4) all_8_15 = e0
% 75.58/11.30 (5) ~ (e2 = e1)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | BETA: splitting (3) gives:
% 75.58/11.30 |
% 75.58/11.30 | Case 1:
% 75.58/11.30 | |
% 75.58/11.30 | | (6) all_8_15 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (4), (6) imply:
% 75.58/11.30 | | (7) e2 = e0
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (1), (7) imply:
% 75.58/11.30 | | (8) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (8) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | Case 2:
% 75.58/11.30 | |
% 75.58/11.30 | | (9) all_8_23 = e2
% 75.58/11.30 | |
% 75.58/11.30 | | COMBINE_EQS: (2), (9) imply:
% 75.58/11.30 | | (10) e2 = e1
% 75.58/11.30 | |
% 75.58/11.30 | | REDUCE: (5), (10) imply:
% 75.58/11.30 | | (11) $false
% 75.58/11.30 | |
% 75.58/11.30 | | CLOSE: (11) is inconsistent.
% 75.58/11.30 | |
% 75.58/11.30 | End of split
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #48 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_11 = all_4_17
% 75.58/11.30 (2) all_8_11 = e2
% 75.58/11.30 (3) ~ (all_4_17 = e2)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.30 | (4) all_4_17 = e2
% 75.58/11.30 |
% 75.58/11.30 | SIMP: (4) implies:
% 75.58/11.30 | (5) all_4_17 = e2
% 75.58/11.30 |
% 75.58/11.30 | REDUCE: (3), (5) imply:
% 75.58/11.30 | (6) $false
% 75.58/11.30 |
% 75.58/11.30 | CLOSE: (6) is inconsistent.
% 75.58/11.30 |
% 75.58/11.30 End of proof
% 75.58/11.30
% 75.58/11.30 Sub-proof #49 shows that the following formulas are inconsistent:
% 75.58/11.30 ----------------------------------------------------------------
% 75.58/11.30 (1) all_8_10 = all_4_16
% 75.58/11.30 (2) all_8_10 = e2
% 75.58/11.30 (3) ~ (all_4_16 = e2)
% 75.58/11.30
% 75.58/11.30 Begin of proof
% 75.58/11.30 |
% 75.58/11.30 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.30 | (4) all_4_16 = e2
% 75.58/11.30 |
% 75.58/11.30 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_16 = e2
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #50 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) ~ (all_4_18 = e1)
% 75.58/11.31 (2) ~ (all_4_18 = e4)
% 75.58/11.31 (3) ~ (all_4_18 = e3)
% 75.58/11.31 (4) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 75.58/11.31 (5) all_6_18 = all_4_18
% 75.58/11.31 (6) ~ (all_4_18 = e2)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | BETA: splitting (4) gives:
% 75.58/11.31 |
% 75.58/11.31 | Case 1:
% 75.58/11.31 | |
% 75.58/11.31 | | (7) all_6_18 = e4
% 75.58/11.31 | |
% 75.58/11.31 | | COMBINE_EQS: (5), (7) imply:
% 75.58/11.31 | | (8) all_4_18 = e4
% 75.58/11.31 | |
% 75.58/11.31 | | REDUCE: (2), (8) imply:
% 75.58/11.31 | | (9) $false
% 75.58/11.31 | |
% 75.58/11.31 | | CLOSE: (9) is inconsistent.
% 75.58/11.31 | |
% 75.58/11.31 | Case 2:
% 75.58/11.31 | |
% 75.58/11.31 | | (10) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 75.58/11.31 | |
% 75.58/11.31 | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #172.
% 75.58/11.31 | |
% 75.58/11.31 | End of split
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #51 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_2 = e1
% 75.58/11.31 (2) all_8_2 = e0
% 75.58/11.31 (3) ~ (e1 = e0)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) e1 = e0
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) e1 = e0
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #52 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_0 = all_4_0
% 75.58/11.31 (2) all_8_0 = e0
% 75.58/11.31 (3) ~ (all_4_0 = e0)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_0 = e0
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_0 = e0
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #53 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_4 = all_4_10
% 75.58/11.31 (2) all_8_4 = e4
% 75.58/11.31 (3) ~ (all_4_10 = e4)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_10 = e4
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_10 = e4
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #54 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_1 = all_4_5
% 75.58/11.31 (2) all_8_1 = e4
% 75.58/11.31 (3) ~ (all_4_5 = e4)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_5 = e4
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_5 = e4
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #55 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_0 = all_4_0
% 75.58/11.31 (2) all_8_0 = e2
% 75.58/11.31 (3) ~ (all_4_0 = e2)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_0 = e2
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_0 = e2
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #56 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_10_102 = all_4_3
% 75.58/11.31 (2) all_10_102 = e1
% 75.58/11.31 (3) ~ (all_4_3 = e1)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_3 = e1
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_3 = e1
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #57 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) ~ (all_4_12 = e3)
% 75.58/11.31 (2) ~ (all_4_10 = e2)
% 75.58/11.31 (3) all_6_2 = all_4_10
% 75.58/11.31 (4) ~ (all_4_12 = e1)
% 75.58/11.31 (5) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 75.58/11.31 = e0
% 75.58/11.31 (6) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.58/11.31 (7) ~ (all_4_10 = e3)
% 75.58/11.31 (8) ~ (all_4_12 = e4)
% 75.58/11.31 (9) ~ (all_4_10 = e1)
% 75.58/11.31 (10) all_6_12 = all_4_12
% 75.58/11.31 (11) ~ (all_4_10 = e4)
% 75.58/11.31 (12) ~ (all_4_12 = e2)
% 75.58/11.31 (13) ~ (all_4_10 = all_4_12)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | BETA: splitting (6) gives:
% 75.58/11.31 |
% 75.58/11.31 | Case 1:
% 75.58/11.31 | |
% 75.58/11.31 | | (14) all_6_2 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | COMBINE_EQS: (3), (14) imply:
% 75.58/11.31 | | (15) all_4_10 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | SIMP: (15) implies:
% 75.58/11.31 | | (16) all_4_10 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | REDUCE: (13), (16) imply:
% 75.58/11.31 | | (17) ~ (all_4_12 = e0)
% 75.58/11.31 | |
% 75.58/11.31 | | SIMP: (17) implies:
% 75.58/11.31 | | (18) ~ (all_4_12 = e0)
% 75.58/11.31 | |
% 75.58/11.31 | | REF_CLOSE: (1), (4), (5), (8), (10), (12), (18) are inconsistent by
% 75.58/11.31 | | sub-proof #269.
% 75.58/11.31 | |
% 75.58/11.31 | Case 2:
% 75.58/11.31 | |
% 75.58/11.31 | | (19) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.58/11.31 | |
% 75.58/11.31 | | REF_CLOSE: (2), (3), (7), (9), (11), (19) are inconsistent by sub-proof
% 75.58/11.31 | | #109.
% 75.58/11.31 | |
% 75.58/11.31 | End of split
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #58 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) ~ (all_4_16 = e3)
% 75.58/11.31 (2) ~ (e4 = e3)
% 75.58/11.31 (3) ~ (e3 = e0)
% 75.58/11.31 (4) ~ (e1 = e0)
% 75.58/11.31 (5) ~ (e3 = e1)
% 75.58/11.31 (6) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 75.58/11.31 e3
% 75.58/11.31 (7) ~ (all_4_15 = e0)
% 75.58/11.31 (8) all_8_9 = all_4_15
% 75.58/11.31 (9) all_8_23 = e1
% 75.58/11.31 (10) ~ (e4 = e0)
% 75.58/11.31 (11) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23
% 75.58/11.31 = e0
% 75.58/11.31 (12) all_8_10 = all_4_16
% 75.58/11.31 (13) ~ (all_4_16 = e0)
% 75.58/11.31 (14) ~ (all_4_15 = e3)
% 75.58/11.31 (15) all_8_11 = e4
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | BETA: splitting (6) gives:
% 75.58/11.31 |
% 75.58/11.31 | Case 1:
% 75.58/11.31 | |
% 75.58/11.31 | | (16) all_8_9 = e3
% 75.58/11.31 | |
% 75.58/11.31 | | REF_CLOSE: (8), (14), (16) are inconsistent by sub-proof #92.
% 75.58/11.31 | |
% 75.58/11.31 | Case 2:
% 75.58/11.31 | |
% 75.58/11.31 | | (17) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.31 | |
% 75.58/11.31 | | BETA: splitting (11) gives:
% 75.58/11.31 | |
% 75.58/11.31 | | Case 1:
% 75.58/11.31 | | |
% 75.58/11.31 | | | (18) all_8_9 = e0
% 75.58/11.31 | | |
% 75.58/11.31 | | | REF_CLOSE: (7), (8), (18) are inconsistent by sub-proof #250.
% 75.58/11.31 | | |
% 75.58/11.31 | | Case 2:
% 75.58/11.31 | | |
% 75.58/11.31 | | | (19) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 75.58/11.31 | | |
% 75.58/11.31 | | | BETA: splitting (17) gives:
% 75.58/11.31 | | |
% 75.58/11.31 | | | Case 1:
% 75.58/11.31 | | | |
% 75.58/11.31 | | | | (20) all_8_10 = e3
% 75.58/11.31 | | | |
% 75.58/11.31 | | | | REF_CLOSE: (1), (12), (20) are inconsistent by sub-proof #61.
% 75.58/11.31 | | | |
% 75.58/11.31 | | | Case 2:
% 75.58/11.31 | | | |
% 75.58/11.31 | | | | (21) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.31 | | | |
% 75.58/11.31 | | | | BETA: splitting (19) gives:
% 75.58/11.31 | | | |
% 75.58/11.31 | | | | Case 1:
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | | (22) all_8_10 = e0
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | | REF_CLOSE: (12), (13), (22) are inconsistent by sub-proof #249.
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | Case 2:
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | | (23) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | | BETA: splitting (23) gives:
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | | Case 1:
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | (24) all_8_11 = e0
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | COMBINE_EQS: (15), (24) imply:
% 75.58/11.31 | | | | | | (25) e4 = e0
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | SIMP: (25) implies:
% 75.58/11.31 | | | | | | (26) e4 = e0
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | REDUCE: (10), (26) imply:
% 75.58/11.31 | | | | | | (27) $false
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | CLOSE: (27) is inconsistent.
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | Case 2:
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | (28) all_8_15 = e0 | all_8_23 = e0
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | BETA: splitting (21) gives:
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | | Case 1:
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | (29) all_8_11 = e3
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | COMBINE_EQS: (15), (29) imply:
% 75.58/11.31 | | | | | | | (30) e4 = e3
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | SIMP: (30) implies:
% 75.58/11.31 | | | | | | | (31) e4 = e3
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | REDUCE: (2), (31) imply:
% 75.58/11.31 | | | | | | | (32) $false
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | CLOSE: (32) is inconsistent.
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | Case 2:
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | (33) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | | REF_CLOSE: (3), (4), (5), (9), (28), (33) are inconsistent by
% 75.58/11.31 | | | | | | | sub-proof #59.
% 75.58/11.31 | | | | | | |
% 75.58/11.31 | | | | | | End of split
% 75.58/11.31 | | | | | |
% 75.58/11.31 | | | | | End of split
% 75.58/11.31 | | | | |
% 75.58/11.31 | | | | End of split
% 75.58/11.31 | | | |
% 75.58/11.31 | | | End of split
% 75.58/11.31 | | |
% 75.58/11.31 | | End of split
% 75.58/11.31 | |
% 75.58/11.31 | End of split
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #59 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) ~ (e3 = e0)
% 75.58/11.31 (2) ~ (e1 = e0)
% 75.58/11.31 (3) ~ (e3 = e1)
% 75.58/11.31 (4) all_8_23 = e1
% 75.58/11.31 (5) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.31 (6) all_8_15 = e0 | all_8_23 = e0
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | BETA: splitting (6) gives:
% 75.58/11.31 |
% 75.58/11.31 | Case 1:
% 75.58/11.31 | |
% 75.58/11.31 | | (7) all_8_15 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | REF_CLOSE: (1), (3), (4), (5), (7) are inconsistent by sub-proof #60.
% 75.58/11.31 | |
% 75.58/11.31 | Case 2:
% 75.58/11.31 | |
% 75.58/11.31 | | (8) all_8_23 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | COMBINE_EQS: (4), (8) imply:
% 75.58/11.31 | | (9) e1 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | REDUCE: (2), (9) imply:
% 75.58/11.31 | | (10) $false
% 75.58/11.31 | |
% 75.58/11.31 | | CLOSE: (10) is inconsistent.
% 75.58/11.31 | |
% 75.58/11.31 | End of split
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #60 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) ~ (e3 = e0)
% 75.58/11.31 (2) ~ (e3 = e1)
% 75.58/11.31 (3) all_8_23 = e1
% 75.58/11.31 (4) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.31 (5) all_8_15 = e0
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | BETA: splitting (4) gives:
% 75.58/11.31 |
% 75.58/11.31 | Case 1:
% 75.58/11.31 | |
% 75.58/11.31 | | (6) all_8_15 = e3
% 75.58/11.31 | |
% 75.58/11.31 | | COMBINE_EQS: (5), (6) imply:
% 75.58/11.31 | | (7) e3 = e0
% 75.58/11.31 | |
% 75.58/11.31 | | REDUCE: (1), (7) imply:
% 75.58/11.31 | | (8) $false
% 75.58/11.31 | |
% 75.58/11.31 | | CLOSE: (8) is inconsistent.
% 75.58/11.31 | |
% 75.58/11.31 | Case 2:
% 75.58/11.31 | |
% 75.58/11.31 | | (9) all_8_23 = e3
% 75.58/11.31 | |
% 75.58/11.31 | | COMBINE_EQS: (3), (9) imply:
% 75.58/11.31 | | (10) e3 = e1
% 75.58/11.31 | |
% 75.58/11.31 | | REDUCE: (2), (10) imply:
% 75.58/11.31 | | (11) $false
% 75.58/11.31 | |
% 75.58/11.31 | | CLOSE: (11) is inconsistent.
% 75.58/11.31 | |
% 75.58/11.31 | End of split
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #61 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.31 (1) all_8_10 = all_4_16
% 75.58/11.31 (2) all_8_10 = e3
% 75.58/11.31 (3) ~ (all_4_16 = e3)
% 75.58/11.31
% 75.58/11.31 Begin of proof
% 75.58/11.31 |
% 75.58/11.31 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.31 | (4) all_4_16 = e3
% 75.58/11.31 |
% 75.58/11.31 | SIMP: (4) implies:
% 75.58/11.31 | (5) all_4_16 = e3
% 75.58/11.31 |
% 75.58/11.31 | REDUCE: (3), (5) imply:
% 75.58/11.31 | (6) $false
% 75.58/11.31 |
% 75.58/11.31 | CLOSE: (6) is inconsistent.
% 75.58/11.31 |
% 75.58/11.31 End of proof
% 75.58/11.31
% 75.58/11.31 Sub-proof #62 shows that the following formulas are inconsistent:
% 75.58/11.31 ----------------------------------------------------------------
% 75.58/11.32 (1) (all_10_106 = e2 & ( ~ (all_10_108 = e4) | unit = e2)) | (all_10_107 = e2
% 75.58/11.32 & ( ~ (all_10_108 = e3) | unit = e2))
% 75.58/11.32 (2) ~ (e3 = e2)
% 75.58/11.32 (3) ~ (e4 = e2)
% 75.58/11.32 (4) all_10_107 = e3
% 75.58/11.32 (5) all_10_106 = e4
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | BETA: splitting (1) gives:
% 75.58/11.32 |
% 75.58/11.32 | Case 1:
% 75.58/11.32 | |
% 75.58/11.32 | | (6) all_10_106 = e2 & ( ~ (all_10_108 = e4) | unit = e2)
% 75.58/11.32 | |
% 75.58/11.32 | | ALPHA: (6) implies:
% 75.58/11.32 | | (7) all_10_106 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | COMBINE_EQS: (5), (7) imply:
% 75.58/11.32 | | (8) e4 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | REDUCE: (3), (8) imply:
% 75.58/11.32 | | (9) $false
% 75.58/11.32 | |
% 75.58/11.32 | | CLOSE: (9) is inconsistent.
% 75.58/11.32 | |
% 75.58/11.32 | Case 2:
% 75.58/11.32 | |
% 75.58/11.32 | | (10) all_10_107 = e2 & ( ~ (all_10_108 = e3) | unit = e2)
% 75.58/11.32 | |
% 75.58/11.32 | | ALPHA: (10) implies:
% 75.58/11.32 | | (11) all_10_107 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | COMBINE_EQS: (4), (11) imply:
% 75.58/11.32 | | (12) e3 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | REDUCE: (2), (12) imply:
% 75.58/11.32 | | (13) $false
% 75.58/11.32 | |
% 75.58/11.32 | | CLOSE: (13) is inconsistent.
% 75.58/11.32 | |
% 75.58/11.32 | End of split
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #63 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 | all_8_19
% 75.58/11.32 = e2
% 75.58/11.32 (2) all_8_19 = e1
% 75.58/11.32 (3) ~ (all_4_8 = e2)
% 75.58/11.32 (4) ~ (e3 = e2)
% 75.58/11.32 (5) ~ (e4 = e2)
% 75.58/11.32 (6) unit = e0
% 75.58/11.32 (7) ~ (e2 = e0)
% 75.58/11.32 (8) all_8_12 = e2
% 75.58/11.32 (9) all_8_13 = all_4_8
% 75.58/11.32 (10) all_8_14 = e4
% 75.58/11.32 (11) ~ (e2 = e1)
% 75.58/11.32 (12) all_8_15 = e3
% 75.58/11.32 (13) unit = e2
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (6), (13) imply:
% 75.58/11.32 | (14) e2 = e0
% 75.58/11.32 |
% 75.58/11.32 | SIMP: (14) implies:
% 75.58/11.32 | (15) e2 = e0
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (8), (15) imply:
% 75.58/11.32 | (16) all_8_12 = e0
% 75.58/11.32 |
% 75.58/11.32 | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (16) are
% 75.58/11.32 | inconsistent by sub-proof #70.
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #64 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) e2 = e1
% 75.58/11.32 (2) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 (3) all_8_9 = e0
% 75.58/11.32 (4) ~ (e3 = e2)
% 75.58/11.32 (5) ~ (e4 = e2)
% 75.58/11.32 (6) ~ (e2 = e0)
% 75.58/11.32 (7) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.58/11.32 (8) all_8_0 = all_4_0
% 75.58/11.32 (9) all_8_4 = e3
% 75.58/11.32 (10) ~ (all_4_0 = all_4_3)
% 75.58/11.32 (11) ~ (all_4_3 = e1)
% 75.58/11.32 (12) ~ (all_4_3 = e4)
% 75.58/11.32 (13) ~ (all_4_3 = e3)
% 75.58/11.32 (14) all_6_15 = all_4_3
% 75.58/11.32 (15) ~ (e2 = e1)
% 75.58/11.32 (16) all_8_16 = e4
% 75.58/11.32 (17) all_8_1 = e2
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | SIMP: (1) implies:
% 75.58/11.32 | (18) e2 = e1
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (17), (18) imply:
% 75.58/11.32 | (19) all_8_1 = e1
% 75.58/11.32 |
% 75.58/11.32 | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 75.58/11.32 | (14), (15), (16), (19) are inconsistent by sub-proof #65.
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #65 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 (2) all_8_9 = e0
% 75.58/11.32 (3) ~ (e3 = e2)
% 75.58/11.32 (4) ~ (e4 = e2)
% 75.58/11.32 (5) ~ (e2 = e0)
% 75.58/11.32 (6) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.58/11.32 (7) all_8_0 = all_4_0
% 75.58/11.32 (8) all_8_4 = e3
% 75.58/11.32 (9) ~ (all_4_0 = all_4_3)
% 75.58/11.32 (10) ~ (all_4_3 = e1)
% 75.58/11.32 (11) ~ (all_4_3 = e4)
% 75.58/11.32 (12) all_8_1 = e1
% 75.58/11.32 (13) ~ (all_4_3 = e3)
% 75.58/11.32 (14) all_6_15 = all_4_3
% 75.58/11.32 (15) ~ (e2 = e1)
% 75.58/11.32 (16) all_8_16 = e4
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | BETA: splitting (6) gives:
% 75.58/11.32 |
% 75.58/11.32 | Case 1:
% 75.58/11.32 | |
% 75.58/11.32 | | (17) all_6_15 = e4
% 75.58/11.32 | |
% 75.58/11.32 | | COMBINE_EQS: (14), (17) imply:
% 75.58/11.32 | | (18) all_4_3 = e4
% 75.58/11.32 | |
% 75.58/11.32 | | REDUCE: (11), (18) imply:
% 75.58/11.32 | | (19) $false
% 75.58/11.32 | |
% 75.58/11.32 | | CLOSE: (19) is inconsistent.
% 75.58/11.32 | |
% 75.58/11.32 | Case 2:
% 75.58/11.32 | |
% 75.58/11.32 | | (20) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.58/11.32 | |
% 75.58/11.32 | | BETA: splitting (20) gives:
% 75.58/11.32 | |
% 75.58/11.32 | | Case 1:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (21) all_6_15 = e3
% 75.58/11.32 | | |
% 75.58/11.32 | | | COMBINE_EQS: (14), (21) imply:
% 75.58/11.32 | | | (22) all_4_3 = e3
% 75.58/11.32 | | |
% 75.58/11.32 | | | REDUCE: (13), (22) imply:
% 75.58/11.32 | | | (23) $false
% 75.58/11.32 | | |
% 75.58/11.32 | | | CLOSE: (23) is inconsistent.
% 75.58/11.32 | | |
% 75.58/11.32 | | Case 2:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (24) all_6_15 = e2 | all_6_15 = e1
% 75.58/11.32 | | |
% 75.58/11.32 | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (12), (14), (15),
% 75.58/11.32 | | | (16), (24) are inconsistent by sub-proof #66.
% 75.58/11.32 | | |
% 75.58/11.32 | | End of split
% 75.58/11.32 | |
% 75.58/11.32 | End of split
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #66 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 (2) all_8_9 = e0
% 75.58/11.32 (3) ~ (e3 = e2)
% 75.58/11.32 (4) ~ (e4 = e2)
% 75.58/11.32 (5) ~ (e2 = e0)
% 75.58/11.32 (6) all_8_0 = all_4_0
% 75.58/11.32 (7) all_8_4 = e3
% 75.58/11.32 (8) ~ (all_4_0 = all_4_3)
% 75.58/11.32 (9) ~ (all_4_3 = e1)
% 75.58/11.32 (10) all_6_15 = e2 | all_6_15 = e1
% 75.58/11.32 (11) all_8_1 = e1
% 75.58/11.32 (12) all_6_15 = all_4_3
% 75.58/11.32 (13) ~ (e2 = e1)
% 75.58/11.32 (14) all_8_16 = e4
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | BETA: splitting (1) gives:
% 75.58/11.32 |
% 75.58/11.32 | Case 1:
% 75.58/11.32 | |
% 75.58/11.32 | | (15) all_8_0 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | COMBINE_EQS: (6), (15) imply:
% 75.58/11.32 | | (16) all_4_0 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | SIMP: (16) implies:
% 75.58/11.32 | | (17) all_4_0 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | REDUCE: (8), (17) imply:
% 75.58/11.32 | | (18) ~ (all_4_3 = e2)
% 75.58/11.32 | |
% 75.58/11.32 | | SIMP: (18) implies:
% 75.58/11.32 | | (19) ~ (all_4_3 = e2)
% 75.58/11.32 | |
% 75.58/11.32 | | REF_CLOSE: (9), (10), (12), (19) are inconsistent by sub-proof #214.
% 75.58/11.32 | |
% 75.58/11.32 | Case 2:
% 75.58/11.32 | |
% 75.58/11.32 | | (20) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | REF_CLOSE: (2), (3), (4), (5), (7), (11), (13), (14), (20) are inconsistent
% 75.58/11.32 | | by sub-proof #67.
% 75.58/11.32 | |
% 75.58/11.32 | End of split
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #67 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_9 = e0
% 75.58/11.32 (2) ~ (e3 = e2)
% 75.58/11.32 (3) ~ (e4 = e2)
% 75.58/11.32 (4) ~ (e2 = e0)
% 75.58/11.32 (5) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 (6) all_8_4 = e3
% 75.58/11.32 (7) all_8_1 = e1
% 75.58/11.32 (8) ~ (e2 = e1)
% 75.58/11.32 (9) all_8_16 = e4
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | BETA: splitting (5) gives:
% 75.58/11.32 |
% 75.58/11.32 | Case 1:
% 75.58/11.32 | |
% 75.58/11.32 | | (10) all_8_1 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | COMBINE_EQS: (7), (10) imply:
% 75.58/11.32 | | (11) e2 = e1
% 75.58/11.32 | |
% 75.58/11.32 | | REDUCE: (8), (11) imply:
% 75.58/11.32 | | (12) $false
% 75.58/11.32 | |
% 75.58/11.32 | | CLOSE: (12) is inconsistent.
% 75.58/11.32 | |
% 75.58/11.32 | Case 2:
% 75.58/11.32 | |
% 75.58/11.32 | | (13) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | BETA: splitting (13) gives:
% 75.58/11.32 | |
% 75.58/11.32 | | Case 1:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (14) all_8_4 = e2
% 75.58/11.32 | | |
% 75.58/11.32 | | | REF_CLOSE: (2), (6), (14) are inconsistent by sub-proof #68.
% 75.58/11.32 | | |
% 75.58/11.32 | | Case 2:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (15) all_8_9 = e2 | all_8_16 = e2
% 75.58/11.32 | | |
% 75.58/11.32 | | | BETA: splitting (15) gives:
% 75.58/11.32 | | |
% 75.58/11.32 | | | Case 1:
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | (16) all_8_9 = e2
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | COMBINE_EQS: (1), (16) imply:
% 75.58/11.32 | | | | (17) e2 = e0
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | REDUCE: (4), (17) imply:
% 75.58/11.32 | | | | (18) $false
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | CLOSE: (18) is inconsistent.
% 75.58/11.32 | | | |
% 75.58/11.32 | | | Case 2:
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | (19) all_8_16 = e2
% 75.58/11.32 | | | |
% 75.58/11.32 | | | | REF_CLOSE: (3), (9), (19) are inconsistent by sub-proof #166.
% 75.58/11.32 | | | |
% 75.58/11.32 | | | End of split
% 75.58/11.32 | | |
% 75.58/11.32 | | End of split
% 75.58/11.32 | |
% 75.58/11.32 | End of split
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #68 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_4 = e3
% 75.58/11.32 (2) all_8_4 = e2
% 75.58/11.32 (3) ~ (e3 = e2)
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.32 | (4) e3 = e2
% 75.58/11.32 |
% 75.58/11.32 | SIMP: (4) implies:
% 75.58/11.32 | (5) e3 = e2
% 75.58/11.32 |
% 75.58/11.32 | REDUCE: (3), (5) imply:
% 75.58/11.32 | (6) $false
% 75.58/11.32 |
% 75.58/11.32 | CLOSE: (6) is inconsistent.
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #69 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_10_97 = e2 & ( ~ (all_10_95 = e0) | unit = e2)
% 75.58/11.32 (2) all_10_97 = e3
% 75.58/11.32 (3) ~ (e3 = e2)
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | ALPHA: (1) implies:
% 75.58/11.32 | (4) all_10_97 = e2
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.32 | (5) e3 = e2
% 75.58/11.32 |
% 75.58/11.32 | REDUCE: (3), (5) imply:
% 75.58/11.32 | (6) $false
% 75.58/11.32 |
% 75.58/11.32 | CLOSE: (6) is inconsistent.
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #70 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_8_12 = e2 | all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 | all_8_19
% 75.58/11.32 = e2
% 75.58/11.32 (2) all_8_19 = e1
% 75.58/11.32 (3) ~ (all_4_8 = e2)
% 75.58/11.32 (4) ~ (e3 = e2)
% 75.58/11.32 (5) ~ (e4 = e2)
% 75.58/11.32 (6) ~ (e2 = e0)
% 75.58/11.32 (7) all_8_13 = all_4_8
% 75.58/11.32 (8) all_8_12 = e0
% 75.58/11.32 (9) all_8_14 = e4
% 75.58/11.32 (10) ~ (e2 = e1)
% 75.58/11.32 (11) all_8_15 = e3
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | BETA: splitting (1) gives:
% 75.58/11.32 |
% 75.58/11.32 | Case 1:
% 75.58/11.32 | |
% 75.58/11.32 | | (12) all_8_12 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | REF_CLOSE: (6), (8), (12) are inconsistent by sub-proof #235.
% 75.58/11.32 | |
% 75.58/11.32 | Case 2:
% 75.58/11.32 | |
% 75.58/11.32 | | (13) all_8_13 = e2 | all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 75.58/11.32 | |
% 75.58/11.32 | | BETA: splitting (13) gives:
% 75.58/11.32 | |
% 75.58/11.32 | | Case 1:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (14) all_8_13 = e2
% 75.58/11.32 | | |
% 75.58/11.32 | | | COMBINE_EQS: (7), (14) imply:
% 75.58/11.32 | | | (15) all_4_8 = e2
% 75.58/11.32 | | |
% 75.58/11.32 | | | REDUCE: (3), (15) imply:
% 75.58/11.32 | | | (16) $false
% 75.58/11.32 | | |
% 75.58/11.32 | | | CLOSE: (16) is inconsistent.
% 75.58/11.32 | | |
% 75.58/11.32 | | Case 2:
% 75.58/11.32 | | |
% 75.58/11.32 | | | (17) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 75.58/11.32 | | |
% 75.58/11.32 | | | REF_CLOSE: (2), (4), (5), (9), (10), (11), (17) are inconsistent by
% 75.58/11.32 | | | sub-proof #76.
% 75.58/11.32 | | |
% 75.58/11.32 | | End of split
% 75.58/11.32 | |
% 75.58/11.32 | End of split
% 75.58/11.32 |
% 75.58/11.32 End of proof
% 75.58/11.32
% 75.58/11.32 Sub-proof #71 shows that the following formulas are inconsistent:
% 75.58/11.32 ----------------------------------------------------------------
% 75.58/11.32 (1) all_6_15 = all_4_3
% 75.58/11.32 (2) all_6_15 = e4
% 75.58/11.32 (3) ~ (all_4_3 = e4)
% 75.58/11.32
% 75.58/11.32 Begin of proof
% 75.58/11.32 |
% 75.58/11.32 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.32 | (4) all_4_3 = e4
% 75.58/11.32 |
% 75.58/11.32 | SIMP: (4) implies:
% 75.58/11.32 | (5) all_4_3 = e4
% 75.58/11.32 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #72 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) ~ (e3 = e0)
% 75.58/11.33 (2) ~ (all_4_15 = e0)
% 75.58/11.33 (3) all_8_9 = all_4_15
% 75.58/11.33 (4) all_8_4 = e3
% 75.58/11.33 (5) ~ (e4 = e0)
% 75.58/11.33 (6) all_8_4 = e0 | all_8_9 = e0 | all_8_16 = e0
% 75.58/11.33 (7) all_8_16 = e4
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (6) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (8) all_8_4 = e0
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #75.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (9) all_8_9 = e0 | all_8_16 = e0
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (2), (3), (5), (7), (9) are inconsistent by sub-proof #73.
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #73 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_9 = e0 | all_8_16 = e0
% 75.58/11.33 (2) ~ (all_4_15 = e0)
% 75.58/11.33 (3) all_8_9 = all_4_15
% 75.58/11.33 (4) ~ (e4 = e0)
% 75.58/11.33 (5) all_8_16 = e4
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (1) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (6) all_8_9 = e0
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #250.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (7) all_8_16 = e0
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #74.
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #74 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_16 = e4
% 75.58/11.33 (2) all_8_16 = e0
% 75.58/11.33 (3) ~ (e4 = e0)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) e4 = e0
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) e4 = e0
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #75 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_4 = e3
% 75.58/11.33 (2) all_8_4 = e0
% 75.58/11.33 (3) ~ (e3 = e0)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) e3 = e0
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) e3 = e0
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #76 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_19 = e1
% 75.58/11.33 (2) ~ (e3 = e2)
% 75.58/11.33 (3) ~ (e4 = e2)
% 75.58/11.33 (4) all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2
% 75.58/11.33 (5) all_8_14 = e4
% 75.58/11.33 (6) ~ (e2 = e1)
% 75.58/11.33 (7) all_8_15 = e3
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (4) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (8) all_8_14 = e2
% 75.58/11.33 | |
% 75.58/11.33 | | COMBINE_EQS: (5), (8) imply:
% 75.58/11.33 | | (9) e4 = e2
% 75.58/11.33 | |
% 75.58/11.33 | | REDUCE: (3), (9) imply:
% 75.58/11.33 | | (10) $false
% 75.58/11.33 | |
% 75.58/11.33 | | CLOSE: (10) is inconsistent.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (11) all_8_15 = e2 | all_8_19 = e2
% 75.58/11.33 | |
% 75.58/11.33 | | BETA: splitting (11) gives:
% 75.58/11.33 | |
% 75.58/11.33 | | Case 1:
% 75.58/11.33 | | |
% 75.58/11.33 | | | (12) all_8_15 = e2
% 75.58/11.33 | | |
% 75.58/11.33 | | | COMBINE_EQS: (7), (12) imply:
% 75.58/11.33 | | | (13) e3 = e2
% 75.58/11.33 | | |
% 75.58/11.33 | | | SIMP: (13) implies:
% 75.58/11.33 | | | (14) e3 = e2
% 75.58/11.33 | | |
% 75.58/11.33 | | | REDUCE: (2), (14) imply:
% 75.58/11.33 | | | (15) $false
% 75.58/11.33 | | |
% 75.58/11.33 | | | CLOSE: (15) is inconsistent.
% 75.58/11.33 | | |
% 75.58/11.33 | | Case 2:
% 75.58/11.33 | | |
% 75.58/11.33 | | | (16) all_8_19 = e2
% 75.58/11.33 | | |
% 75.58/11.33 | | | COMBINE_EQS: (1), (16) imply:
% 75.58/11.33 | | | (17) e2 = e1
% 75.58/11.33 | | |
% 75.58/11.33 | | | REDUCE: (6), (17) imply:
% 75.58/11.33 | | | (18) $false
% 75.58/11.33 | | |
% 75.58/11.33 | | | CLOSE: (18) is inconsistent.
% 75.58/11.33 | | |
% 75.58/11.33 | | End of split
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #77 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_13 = all_4_8
% 75.58/11.33 (2) all_8_13 = e3
% 75.58/11.33 (3) ~ (all_4_8 = e3)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) all_4_8 = e3
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) all_4_8 = e3
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #78 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_10 = all_4_16
% 75.58/11.33 (2) all_8_10 = e4
% 75.58/11.33 (3) ~ (all_4_16 = e4)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) all_4_16 = e4
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) all_4_16 = e4
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #79 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_8_13 = all_4_8
% 75.58/11.33 (2) all_8_13 = e4
% 75.58/11.33 (3) ~ (all_4_8 = e4)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) all_4_8 = e4
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) all_4_8 = e4
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #80 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_6_1 = all_4_5
% 75.58/11.33 (2) all_6_1 = e1
% 75.58/11.33 (3) ~ (all_4_5 = e1)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) all_4_5 = e1
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) all_4_5 = e1
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #81 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_6_16 = all_4_8
% 75.58/11.33 (2) ~ (all_4_8 = e2)
% 75.58/11.33 (3) ~ (all_4_8 = e3)
% 75.58/11.33 (4) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 75.58/11.33 (5) ~ (all_4_8 = e1)
% 75.58/11.33 (6) ~ (all_4_8 = e4)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (4) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (7) all_6_16 = e4
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #192.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (8) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (1), (2), (3), (5), (8) are inconsistent by sub-proof #135.
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #82 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) ( ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) & ~
% 75.58/11.33 (all_10_113 = e1) & ~ (all_10_114 = e1)) | ( ~ (all_10_110 = e0) & ~
% 75.58/11.33 (all_10_111 = e0) & ~ (all_10_112 = e0) & ~ (all_10_113 = e0) & ~
% 75.58/11.33 (all_10_114 = e0))
% 75.58/11.33 (2) all_10_110 = e1
% 75.58/11.33 (3) all_10_114 = e0
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (1) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (4) ~ (all_10_110 = e1) & ~ (all_10_111 = e1) & ~ (all_10_112 = e1) &
% 75.58/11.33 | | ~ (all_10_113 = e1) & ~ (all_10_114 = e1)
% 75.58/11.33 | |
% 75.58/11.33 | | ALPHA: (4) implies:
% 75.58/11.33 | | (5) ~ (all_10_110 = e1)
% 75.58/11.33 | |
% 75.58/11.33 | | REDUCE: (2), (5) imply:
% 75.58/11.33 | | (6) $false
% 75.58/11.33 | |
% 75.58/11.33 | | CLOSE: (6) is inconsistent.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (7) ~ (all_10_110 = e0) & ~ (all_10_111 = e0) & ~ (all_10_112 = e0) &
% 75.58/11.33 | | ~ (all_10_113 = e0) & ~ (all_10_114 = e0)
% 75.58/11.33 | |
% 75.58/11.33 | | ALPHA: (7) implies:
% 75.58/11.33 | | (8) ~ (all_10_114 = e0)
% 75.58/11.33 | |
% 75.58/11.33 | | REDUCE: (3), (8) imply:
% 75.58/11.33 | | (9) $false
% 75.58/11.33 | |
% 75.58/11.33 | | CLOSE: (9) is inconsistent.
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #83 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_10_106 = e3 & ( ~ (all_10_107 = e4) | unit = e3)
% 75.58/11.33 (2) all_10_106 = e4
% 75.58/11.33 (3) ~ (e4 = e3)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | ALPHA: (1) implies:
% 75.58/11.33 | (4) all_10_106 = e3
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.33 | (5) e4 = e3
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #84 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_10_105 = e3 & ( ~ (all_10_103 = e0) | unit = e3)
% 75.58/11.33 (2) all_10_105 = e1
% 75.58/11.33 (3) ~ (e3 = e1)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | ALPHA: (1) implies:
% 75.58/11.33 | (4) all_10_105 = e3
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (2), (4) imply:
% 75.58/11.33 | (5) e3 = e1
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (5) implies:
% 75.58/11.33 | (6) e3 = e1
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (6) imply:
% 75.58/11.33 | (7) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (7) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #85 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) ~ (e3 = e0)
% 75.58/11.33 (2) ~ (e3 = e1)
% 75.58/11.33 (3) all_8_23 = e1
% 75.58/11.33 (4) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.33 (5) ~ (all_4_18 = e3)
% 75.58/11.33 (6) e3 = e0
% 75.58/11.33 (7) all_8_15 = all_4_18
% 75.58/11.33 (8) all_8_11 = e3
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (6) implies:
% 75.58/11.33 | (9) e3 = e0
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (8), (9) imply:
% 75.58/11.33 | (10) all_8_11 = e0
% 75.58/11.33 |
% 75.58/11.33 | REF_CLOSE: (1), (2), (3), (4), (5), (7), (10) are inconsistent by sub-proof
% 75.58/11.33 | #90.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #86 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) all_10_97 = e3 & ( ~ (all_10_111 = e0) | unit = e3)
% 75.58/11.33 (2) all_10_111 = e0
% 75.58/11.33 (3) unit = e0
% 75.58/11.33 (4) ~ (e3 = e0)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | ALPHA: (1) implies:
% 75.58/11.33 | (5) ~ (all_10_111 = e0) | unit = e3
% 75.58/11.33 |
% 75.58/11.33 | BETA: splitting (5) gives:
% 75.58/11.33 |
% 75.58/11.33 | Case 1:
% 75.58/11.33 | |
% 75.58/11.33 | | (6) ~ (all_10_111 = e0)
% 75.58/11.33 | |
% 75.58/11.33 | | REDUCE: (2), (6) imply:
% 75.58/11.33 | | (7) $false
% 75.58/11.33 | |
% 75.58/11.33 | | CLOSE: (7) is inconsistent.
% 75.58/11.33 | |
% 75.58/11.33 | Case 2:
% 75.58/11.33 | |
% 75.58/11.33 | | (8) unit = e3
% 75.58/11.33 | |
% 75.58/11.33 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #87.
% 75.58/11.33 | |
% 75.58/11.33 | End of split
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #87 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) unit = e3
% 75.58/11.33 (2) unit = e0
% 75.58/11.33 (3) ~ (e3 = e0)
% 75.58/11.33
% 75.58/11.33 Begin of proof
% 75.58/11.33 |
% 75.58/11.33 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.33 | (4) e3 = e0
% 75.58/11.33 |
% 75.58/11.33 | SIMP: (4) implies:
% 75.58/11.33 | (5) e3 = e0
% 75.58/11.33 |
% 75.58/11.33 | REDUCE: (3), (5) imply:
% 75.58/11.33 | (6) $false
% 75.58/11.33 |
% 75.58/11.33 | CLOSE: (6) is inconsistent.
% 75.58/11.33 |
% 75.58/11.33 End of proof
% 75.58/11.33
% 75.58/11.33 Sub-proof #88 shows that the following formulas are inconsistent:
% 75.58/11.33 ----------------------------------------------------------------
% 75.58/11.33 (1) ~ (e4 = e3)
% 75.58/11.33 (2) ~ (e3 = e2)
% 75.58/11.33 (3) all_8_20 = e4
% 75.58/11.33 (4) ~ (all_4_17 = e1)
% 75.58/11.33 (5) all_6_13 = all_4_17
% 75.58/11.33 (6) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 75.58/11.33 (7) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 75.58/11.33 (8) e3 = e2
% 75.58/11.33 (9) all_8_12 = e3
% 75.58/11.33 (10) all_8_6 = all_4_2
% 75.58/11.34 (11) ~ (all_4_2 = all_4_17)
% 75.58/11.34 (12) ~ (all_4_17 = e2)
% 75.58/11.34 (13) ~ (all_4_17 = e4)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (8) implies:
% 75.58/11.34 | (14) e3 = e2
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (9), (14) imply:
% 75.58/11.34 | (15) all_8_12 = e2
% 75.58/11.34 |
% 75.58/11.34 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (10), (11), (12), (13), (15) are
% 75.58/11.34 | inconsistent by sub-proof #216.
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #89 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) ~ (e4 = e3)
% 75.58/11.34 (2) all_8_10 = e4
% 75.58/11.34 (3) ~ (e3 = e0)
% 75.58/11.34 (4) ~ (e3 = e1)
% 75.58/11.34 (5) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 =
% 75.58/11.34 e3
% 75.58/11.34 (6) all_8_9 = all_4_15
% 75.58/11.34 (7) all_8_23 = e1
% 75.58/11.34 (8) ~ (all_4_18 = e3)
% 75.58/11.34 (9) all_8_15 = all_4_18
% 75.58/11.34 (10) ~ (all_4_15 = e3)
% 75.58/11.34 (11) all_8_11 = e0
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | BETA: splitting (5) gives:
% 75.58/11.34 |
% 75.58/11.34 | Case 1:
% 75.58/11.34 | |
% 75.58/11.34 | | (12) all_8_9 = e3
% 75.58/11.34 | |
% 75.58/11.34 | | REF_CLOSE: (6), (10), (12) are inconsistent by sub-proof #92.
% 75.58/11.34 | |
% 75.58/11.34 | Case 2:
% 75.58/11.34 | |
% 75.58/11.34 | | (13) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.34 | |
% 75.58/11.34 | | BETA: splitting (13) gives:
% 75.58/11.34 | |
% 75.58/11.34 | | Case 1:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (14) all_8_10 = e3
% 75.58/11.34 | | |
% 75.58/11.34 | | | REF_CLOSE: (1), (2), (14) are inconsistent by sub-proof #91.
% 75.58/11.34 | | |
% 75.58/11.34 | | Case 2:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (15) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.34 | | |
% 75.58/11.34 | | | REF_CLOSE: (3), (4), (7), (8), (9), (11), (15) are inconsistent by
% 75.58/11.34 | | | sub-proof #90.
% 75.58/11.34 | | |
% 75.58/11.34 | | End of split
% 75.58/11.34 | |
% 75.58/11.34 | End of split
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #90 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) ~ (e3 = e0)
% 75.58/11.34 (2) ~ (e3 = e1)
% 75.58/11.34 (3) all_8_23 = e1
% 75.58/11.34 (4) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3
% 75.58/11.34 (5) ~ (all_4_18 = e3)
% 75.58/11.34 (6) all_8_15 = all_4_18
% 75.58/11.34 (7) all_8_11 = e0
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | BETA: splitting (4) gives:
% 75.58/11.34 |
% 75.58/11.34 | Case 1:
% 75.58/11.34 | |
% 75.58/11.34 | | (8) all_8_11 = e3
% 75.58/11.34 | |
% 75.58/11.34 | | COMBINE_EQS: (7), (8) imply:
% 75.58/11.34 | | (9) e3 = e0
% 75.58/11.34 | |
% 75.58/11.34 | | REDUCE: (1), (9) imply:
% 75.58/11.34 | | (10) $false
% 75.58/11.34 | |
% 75.58/11.34 | | CLOSE: (10) is inconsistent.
% 75.58/11.34 | |
% 75.58/11.34 | Case 2:
% 75.58/11.34 | |
% 75.58/11.34 | | (11) all_8_15 = e3 | all_8_23 = e3
% 75.58/11.34 | |
% 75.58/11.34 | | REF_CLOSE: (2), (3), (5), (6), (11) are inconsistent by sub-proof #178.
% 75.58/11.34 | |
% 75.58/11.34 | End of split
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #91 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) all_8_10 = e4
% 75.58/11.34 (2) all_8_10 = e3
% 75.58/11.34 (3) ~ (e4 = e3)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.34 | (4) e4 = e3
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (4) implies:
% 75.58/11.34 | (5) e4 = e3
% 75.58/11.34 |
% 75.58/11.34 | REDUCE: (3), (5) imply:
% 75.58/11.34 | (6) $false
% 75.58/11.34 |
% 75.58/11.34 | CLOSE: (6) is inconsistent.
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #92 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) all_8_9 = all_4_15
% 75.58/11.34 (2) all_8_9 = e3
% 75.58/11.34 (3) ~ (all_4_15 = e3)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.34 | (4) all_4_15 = e3
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (4) implies:
% 75.58/11.34 | (5) all_4_15 = e3
% 75.58/11.34 |
% 75.58/11.34 | REDUCE: (3), (5) imply:
% 75.58/11.34 | (6) $false
% 75.58/11.34 |
% 75.58/11.34 | CLOSE: (6) is inconsistent.
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #93 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) all_8_13 = all_4_8
% 75.58/11.34 (2) all_8_13 = e2
% 75.58/11.34 (3) ~ (all_4_8 = e2)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.34 | (4) all_4_8 = e2
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (4) implies:
% 75.58/11.34 | (5) all_4_8 = e2
% 75.58/11.34 |
% 75.58/11.34 | REDUCE: (3), (5) imply:
% 75.58/11.34 | (6) $false
% 75.58/11.34 |
% 75.58/11.34 | CLOSE: (6) is inconsistent.
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #94 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) ~ (all_4_16 = e3)
% 75.58/11.34 (2) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 75.58/11.34 (3) all_6_6 = all_4_6
% 75.58/11.34 (4) ~ (all_4_10 = e2)
% 75.58/11.34 (5) ~ (all_4_16 = e2)
% 75.58/11.34 (6) all_6_2 = all_4_10
% 75.58/11.34 (7) ~ (all_4_6 = e2)
% 75.58/11.34 (8) ~ (all_4_18 = e4)
% 75.58/11.34 (9) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 75.58/11.34 (10) ~ (all_4_12 = e1)
% 75.58/11.34 (11) ~ (all_4_15 = e4)
% 75.58/11.34 (12) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.58/11.34 (13) all_8_9 = all_4_15
% 75.58/11.34 (14) all_8_23 = e1
% 75.58/11.34 (15) ~ (all_4_6 = all_4_16)
% 75.58/11.34 (16) ~ (all_4_16 = e1)
% 75.58/11.34 (17) all_6_8 = all_4_16
% 75.58/11.34 (18) ~ (all_4_12 = all_4_17)
% 75.58/11.34 (19) all_8_10 = all_4_16
% 75.58/11.34 (20) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 75.58/11.34 = e0
% 75.58/11.34 (21) ~ (all_4_6 = e3)
% 75.58/11.34 (22) ~ (all_4_12 = e0)
% 75.58/11.34 (23) all_8_15 = all_4_18
% 75.58/11.34 (24) ~ (all_4_6 = e1)
% 75.58/11.34 (25) all_8_11 = all_4_17
% 75.58/11.34 (26) ~ (all_4_10 = e1)
% 75.58/11.34 (27) all_6_12 = all_4_12
% 75.58/11.34 (28) ~ (all_4_10 = e4)
% 75.58/11.34 (29) ~ (all_4_12 = e2)
% 75.58/11.34 (30) ~ (all_4_10 = all_4_12)
% 75.58/11.34 (31) all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23
% 75.58/11.34 = e4
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | BETA: splitting (2) gives:
% 75.58/11.34 |
% 75.58/11.34 | Case 1:
% 75.58/11.34 | |
% 75.58/11.34 | | (32) all_6_6 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | COMBINE_EQS: (3), (32) imply:
% 75.58/11.34 | | (33) all_4_6 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | SIMP: (33) implies:
% 75.58/11.34 | | (34) all_4_6 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | REDUCE: (15), (34) imply:
% 75.58/11.34 | | (35) ~ (all_4_16 = e4)
% 75.58/11.34 | |
% 75.58/11.34 | | SIMP: (35) implies:
% 75.58/11.34 | | (36) ~ (all_4_16 = e4)
% 75.58/11.34 | |
% 75.58/11.34 | | REDUCE: (24), (34) imply:
% 75.58/11.34 | | (37) ~ (e4 = e1)
% 75.58/11.34 | |
% 75.58/11.34 | | BETA: splitting (9) gives:
% 75.58/11.34 | |
% 75.58/11.34 | | Case 1:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (38) all_6_8 = e0
% 75.58/11.34 | | |
% 75.58/11.34 | | | COMBINE_EQS: (17), (38) imply:
% 75.58/11.34 | | | (39) all_4_16 = e0
% 75.58/11.34 | | |
% 75.58/11.34 | | | COMBINE_EQS: (19), (39) imply:
% 75.58/11.34 | | | (40) all_8_10 = e0
% 75.58/11.34 | | |
% 75.58/11.34 | | | REDUCE: (36), (39) imply:
% 75.58/11.34 | | | (41) ~ (e4 = e0)
% 75.58/11.34 | | |
% 75.58/11.34 | | | SIMP: (41) implies:
% 75.58/11.34 | | | (42) ~ (e4 = e0)
% 75.58/11.34 | | |
% 75.58/11.34 | | | REF_CLOSE: (4), (6), (8), (10), (11), (12), (13), (14), (18), (20), (22),
% 75.58/11.34 | | | (23), (25), (26), (27), (28), (29), (30), (31), (37), (40),
% 75.58/11.34 | | | (42) are inconsistent by sub-proof #96.
% 75.58/11.34 | | |
% 75.58/11.34 | | Case 2:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (43) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 75.58/11.34 | | |
% 75.58/11.34 | | | REF_CLOSE: (1), (5), (16), (17), (36), (43) are inconsistent by sub-proof
% 75.58/11.34 | | | #95.
% 75.58/11.34 | | |
% 75.58/11.34 | | End of split
% 75.58/11.34 | |
% 75.58/11.34 | Case 2:
% 75.58/11.34 | |
% 75.58/11.34 | | (44) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 75.58/11.34 | |
% 75.58/11.34 | | REF_CLOSE: (3), (7), (21), (24), (44) are inconsistent by sub-proof #157.
% 75.58/11.34 | |
% 75.58/11.34 | End of split
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #95 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) ~ (all_4_16 = e3)
% 75.58/11.34 (2) ~ (all_4_16 = e2)
% 75.58/11.34 (3) ~ (all_4_16 = e1)
% 75.58/11.34 (4) all_6_8 = all_4_16
% 75.58/11.34 (5) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 75.58/11.34 (6) ~ (all_4_16 = e4)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | BETA: splitting (5) gives:
% 75.58/11.34 |
% 75.58/11.34 | Case 1:
% 75.58/11.34 | |
% 75.58/11.34 | | (7) all_6_8 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | COMBINE_EQS: (4), (7) imply:
% 75.58/11.34 | | (8) all_4_16 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | REDUCE: (6), (8) imply:
% 75.58/11.34 | | (9) $false
% 75.58/11.34 | |
% 75.58/11.34 | | CLOSE: (9) is inconsistent.
% 75.58/11.34 | |
% 75.58/11.34 | Case 2:
% 75.58/11.34 | |
% 75.58/11.34 | | (10) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 75.58/11.34 | |
% 75.58/11.34 | | REF_CLOSE: (1), (2), (3), (4), (10) are inconsistent by sub-proof #142.
% 75.58/11.34 | |
% 75.58/11.34 | End of split
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #96 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) ~ (all_4_10 = e2)
% 75.58/11.34 (2) all_6_2 = all_4_10
% 75.58/11.34 (3) ~ (all_4_18 = e4)
% 75.58/11.34 (4) ~ (all_4_12 = e1)
% 75.58/11.34 (5) ~ (all_4_15 = e4)
% 75.58/11.34 (6) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.58/11.34 (7) all_8_9 = all_4_15
% 75.58/11.34 (8) all_8_23 = e1
% 75.58/11.34 (9) all_8_10 = e0
% 75.58/11.34 (10) ~ (e4 = e0)
% 75.58/11.34 (11) ~ (all_4_12 = all_4_17)
% 75.58/11.34 (12) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 75.58/11.34 = e0
% 75.58/11.34 (13) ~ (all_4_12 = e0)
% 75.58/11.34 (14) ~ (e4 = e1)
% 75.58/11.34 (15) all_8_15 = all_4_18
% 75.58/11.34 (16) all_8_11 = all_4_17
% 75.58/11.34 (17) ~ (all_4_10 = e1)
% 75.58/11.34 (18) all_6_12 = all_4_12
% 75.58/11.34 (19) ~ (all_4_10 = e4)
% 75.58/11.34 (20) ~ (all_4_12 = e2)
% 75.58/11.34 (21) ~ (all_4_10 = all_4_12)
% 75.58/11.34 (22) all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23
% 75.58/11.34 = e4
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | BETA: splitting (22) gives:
% 75.58/11.34 |
% 75.58/11.34 | Case 1:
% 75.58/11.34 | |
% 75.58/11.34 | | (23) all_8_9 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | REF_CLOSE: (5), (7), (23) are inconsistent by sub-proof #98.
% 75.58/11.34 | |
% 75.58/11.34 | Case 2:
% 75.58/11.34 | |
% 75.58/11.34 | | (24) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 75.58/11.34 | |
% 75.58/11.34 | | BETA: splitting (6) gives:
% 75.58/11.34 | |
% 75.58/11.34 | | Case 1:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (25) all_6_2 = e4
% 75.58/11.34 | | |
% 75.58/11.34 | | | COMBINE_EQS: (2), (25) imply:
% 75.58/11.34 | | | (26) all_4_10 = e4
% 75.58/11.34 | | |
% 75.58/11.34 | | | REDUCE: (19), (26) imply:
% 75.58/11.34 | | | (27) $false
% 75.58/11.34 | | |
% 75.58/11.34 | | | CLOSE: (27) is inconsistent.
% 75.58/11.34 | | |
% 75.58/11.34 | | Case 2:
% 75.58/11.34 | | |
% 75.58/11.34 | | | (28) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.58/11.34 | | |
% 75.58/11.34 | | | BETA: splitting (24) gives:
% 75.58/11.34 | | |
% 75.58/11.34 | | | Case 1:
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | (29) all_8_10 = e4
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | COMBINE_EQS: (9), (29) imply:
% 75.58/11.34 | | | | (30) e4 = e0
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | REDUCE: (10), (30) imply:
% 75.58/11.34 | | | | (31) $false
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | CLOSE: (31) is inconsistent.
% 75.58/11.34 | | | |
% 75.58/11.34 | | | Case 2:
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | (32) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | BETA: splitting (32) gives:
% 75.58/11.34 | | | |
% 75.58/11.34 | | | | Case 1:
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | (33) all_8_11 = e4
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | COMBINE_EQS: (16), (33) imply:
% 75.58/11.34 | | | | | (34) all_4_17 = e4
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | SIMP: (34) implies:
% 75.58/11.34 | | | | | (35) all_4_17 = e4
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | REDUCE: (11), (35) imply:
% 75.58/11.34 | | | | | (36) ~ (all_4_12 = e4)
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | REF_CLOSE: (1), (2), (4), (12), (13), (17), (18), (20), (21), (28),
% 75.58/11.34 | | | | | (36) are inconsistent by sub-proof #257.
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | Case 2:
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | (37) all_8_15 = e4 | all_8_23 = e4
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | BETA: splitting (37) gives:
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | | Case 1:
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | | (38) all_8_15 = e4
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | | REF_CLOSE: (3), (15), (38) are inconsistent by sub-proof #101.
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | Case 2:
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | | (39) all_8_23 = e4
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | | REF_CLOSE: (8), (14), (39) are inconsistent by sub-proof #97.
% 75.58/11.34 | | | | | |
% 75.58/11.34 | | | | | End of split
% 75.58/11.34 | | | | |
% 75.58/11.34 | | | | End of split
% 75.58/11.34 | | | |
% 75.58/11.34 | | | End of split
% 75.58/11.34 | | |
% 75.58/11.34 | | End of split
% 75.58/11.34 | |
% 75.58/11.34 | End of split
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #97 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) all_8_23 = e4
% 75.58/11.34 (2) all_8_23 = e1
% 75.58/11.34 (3) ~ (e4 = e1)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.34 | (4) e4 = e1
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (4) implies:
% 75.58/11.34 | (5) e4 = e1
% 75.58/11.34 |
% 75.58/11.34 | REDUCE: (3), (5) imply:
% 75.58/11.34 | (6) $false
% 75.58/11.34 |
% 75.58/11.34 | CLOSE: (6) is inconsistent.
% 75.58/11.34 |
% 75.58/11.34 End of proof
% 75.58/11.34
% 75.58/11.34 Sub-proof #98 shows that the following formulas are inconsistent:
% 75.58/11.34 ----------------------------------------------------------------
% 75.58/11.34 (1) all_8_9 = all_4_15
% 75.58/11.34 (2) all_8_9 = e4
% 75.58/11.34 (3) ~ (all_4_15 = e4)
% 75.58/11.34
% 75.58/11.34 Begin of proof
% 75.58/11.34 |
% 75.58/11.34 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.34 | (4) all_4_15 = e4
% 75.58/11.34 |
% 75.58/11.34 | SIMP: (4) implies:
% 75.58/11.34 | (5) all_4_15 = e4
% 75.58/11.34 |
% 75.58/11.34 | REDUCE: (3), (5) imply:
% 75.58/11.34 | (6) $false
% 75.58/11.34 |
% 75.58/11.35 | CLOSE: (6) is inconsistent.
% 75.58/11.35 |
% 75.58/11.35 End of proof
% 75.58/11.35
% 75.58/11.35 Sub-proof #99 shows that the following formulas are inconsistent:
% 75.58/11.35 ----------------------------------------------------------------
% 75.58/11.35 (1) all_8_6 = all_4_2
% 75.58/11.35 (2) all_8_6 = e1
% 75.58/11.35 (3) ~ (all_4_2 = e1)
% 75.58/11.35
% 75.58/11.35 Begin of proof
% 75.58/11.35 |
% 75.58/11.35 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.35 | (4) all_4_2 = e1
% 75.58/11.35 |
% 75.58/11.35 | SIMP: (4) implies:
% 75.58/11.35 | (5) all_4_2 = e1
% 75.58/11.35 |
% 75.58/11.35 | REDUCE: (3), (5) imply:
% 75.58/11.35 | (6) $false
% 75.58/11.35 |
% 75.58/11.35 | CLOSE: (6) is inconsistent.
% 75.58/11.35 |
% 75.58/11.35 End of proof
% 75.58/11.35
% 75.58/11.35 Sub-proof #100 shows that the following formulas are inconsistent:
% 75.58/11.35 ----------------------------------------------------------------
% 75.58/11.35 (1) all_10_98 = all_4_2
% 75.58/11.35 (2) all_10_98 = e2
% 75.58/11.35 (3) ~ (all_4_2 = e2)
% 75.58/11.35
% 75.58/11.35 Begin of proof
% 75.58/11.35 |
% 75.58/11.35 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.35 | (4) all_4_2 = e2
% 75.58/11.35 |
% 75.58/11.35 | SIMP: (4) implies:
% 75.58/11.35 | (5) all_4_2 = e2
% 75.58/11.35 |
% 75.58/11.35 | REDUCE: (3), (5) imply:
% 75.58/11.35 | (6) $false
% 75.58/11.35 |
% 75.58/11.35 | CLOSE: (6) is inconsistent.
% 75.58/11.35 |
% 75.58/11.35 End of proof
% 75.58/11.35
% 75.58/11.35 Sub-proof #101 shows that the following formulas are inconsistent:
% 75.58/11.35 ----------------------------------------------------------------
% 75.58/11.35 (1) all_8_15 = all_4_18
% 75.58/11.35 (2) all_8_15 = e4
% 75.58/11.35 (3) ~ (all_4_18 = e4)
% 75.58/11.35
% 75.58/11.35 Begin of proof
% 75.58/11.35 |
% 75.58/11.35 | COMBINE_EQS: (1), (2) imply:
% 75.58/11.35 | (4) all_4_18 = e4
% 75.58/11.35 |
% 75.58/11.35 | SIMP: (4) implies:
% 75.58/11.35 | (5) all_4_18 = e4
% 75.58/11.35 |
% 75.58/11.35 | REDUCE: (3), (5) imply:
% 75.58/11.35 | (6) $false
% 75.58/11.35 |
% 75.58/11.35 | CLOSE: (6) is inconsistent.
% 75.58/11.35 |
% 75.58/11.35 End of proof
% 75.58/11.35
% 75.58/11.35 Sub-proof #102 shows that the following formulas are inconsistent:
% 75.58/11.35 ----------------------------------------------------------------
% 75.58/11.35 (1) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15
% 75.58/11.35 = e0
% 75.58/11.35 (2) ~ (all_4_3 = e2)
% 75.58/11.35 (3) ~ (all_4_3 = e1)
% 75.58/11.35 (4) ~ (all_4_3 = e0)
% 75.58/11.35 (5) ~ (all_4_3 = e4)
% 75.58/11.35 (6) ~ (all_4_3 = e3)
% 75.58/11.35 (7) all_6_15 = all_4_3
% 75.58/11.35
% 75.58/11.35 Begin of proof
% 75.58/11.35 |
% 75.58/11.35 | BETA: splitting (1) gives:
% 75.58/11.35 |
% 75.58/11.35 | Case 1:
% 75.58/11.35 | |
% 75.58/11.35 | | (8) all_6_15 = e0
% 75.58/11.35 | |
% 75.58/11.35 | | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #243.
% 75.58/11.35 | |
% 75.58/11.35 | Case 2:
% 75.58/11.35 | |
% 75.58/11.35 | | (9) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 75.58/11.35 | |
% 75.58/11.35 | | REF_CLOSE: (2), (3), (5), (6), (7), (9) are inconsistent by sub-proof #213.
% 75.58/11.35 | |
% 75.58/11.35 | End of split
% 75.58/11.35 |
% 75.58/11.35 End of proof
% 75.58/11.35
% 75.58/11.35 Sub-proof #103 shows that the following formulas are inconsistent:
% 75.58/11.35 ----------------------------------------------------------------
% 75.58/11.35 (1) ~ (e4 = e3)
% 75.58/11.35 (2) all_8_19 = e1
% 75.58/11.35 (3) ~ (e3 = e0)
% 75.58/11.35 (4) ~ (e3 = e2)
% 75.58/11.35 (5) ~ (e3 = e1)
% 75.58/11.35 (6) all_8_14 = e4
% 75.58/11.35 (7) all_8_13 = e3 | all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 75.58/11.35 (8) all_8_15 = e0
% 75.58/11.35 (9) all_8_13 = e2
% 75.58/11.35
% 75.58/11.35 Begin of proof
% 75.58/11.35 |
% 75.58/11.35 | BETA: splitting (7) gives:
% 75.58/11.35 |
% 75.58/11.35 | Case 1:
% 75.58/11.35 | |
% 75.58/11.35 | | (10) all_8_13 = e3
% 75.58/11.35 | |
% 75.58/11.35 | | COMBINE_EQS: (9), (10) imply:
% 75.58/11.35 | | (11) e3 = e2
% 75.58/11.35 | |
% 75.58/11.35 | | REDUCE: (4), (11) imply:
% 75.58/11.35 | | (12) $false
% 75.58/11.35 | |
% 75.58/11.35 | | CLOSE: (12) is inconsistent.
% 75.58/11.35 | |
% 75.58/11.35 | Case 2:
% 75.58/11.35 | |
% 75.58/11.35 | | (13) all_8_14 = e3 | all_8_15 = e3 | all_8_19 = e3
% 75.58/11.35 | |
% 75.58/11.35 | | BETA: splitting (13) gives:
% 75.58/11.35 | |
% 75.58/11.35 | | Case 1:
% 75.58/11.35 | | |
% 75.58/11.35 | | | (14) all_8_14 = e3
% 75.58/11.35 | | |
% 75.58/11.35 | | | REF_CLOSE: (1), (6), (14) are inconsistent by sub-proof #104.
% 75.58/11.35 | | |
% 75.58/11.35 | | Case 2:
% 75.58/11.35 | | |
% 75.58/11.35 | | | (15) all_8_15 = e3 | all_8_19 = e3
% 75.58/11.35 | | |
% 75.58/11.35 | | | BETA: splitting (15) gives:
% 75.58/11.35 | | |
% 75.58/11.35 | | | Case 1:
% 75.58/11.35 | | | |
% 75.58/11.35 | | | | (16) all_8_15 = e3
% 75.58/11.35 | | | |
% 75.58/11.35 | | | | COMBINE_EQS: (8), (16) imply:
% 75.58/11.35 | | | | (17) e3 = e0
% 75.58/11.35 | | | |
% 75.58/11.35 | | | | REDUCE: (3), (17) imply:
% 75.58/11.35 | | | | (18) $false
% 75.58/11.35 | | | |
% 75.58/11.35 | | | | CLOSE: (18) is inconsistent.
% 75.58/11.35 | | | |
% 75.58/11.35 | | | Case 2:
% 75.58/11.35 | | | |
% 75.58/11.35 | | | | (19) all_8_19 = e3
% 75.58/11.35 | | | |
% 75.96/11.35 | | | | COMBINE_EQS: (2), (19) imply:
% 75.96/11.35 | | | | (20) e3 = e1
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | REDUCE: (5), (20) imply:
% 75.96/11.35 | | | | (21) $false
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | CLOSE: (21) is inconsistent.
% 75.96/11.35 | | | |
% 75.96/11.35 | | | End of split
% 75.96/11.35 | | |
% 75.96/11.35 | | End of split
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #104 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) all_8_14 = e4
% 75.96/11.35 (2) all_8_14 = e3
% 75.96/11.35 (3) ~ (e4 = e3)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.35 | (4) e4 = e3
% 75.96/11.35 |
% 75.96/11.35 | SIMP: (4) implies:
% 75.96/11.35 | (5) e4 = e3
% 75.96/11.35 |
% 75.96/11.35 | REDUCE: (3), (5) imply:
% 75.96/11.35 | (6) $false
% 75.96/11.35 |
% 75.96/11.35 | CLOSE: (6) is inconsistent.
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #105 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) ~ (all_4_2 = e0)
% 75.96/11.35 (2) all_6_10 = all_4_2
% 75.96/11.35 (3) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1 | all_6_10
% 75.96/11.35 = e0
% 75.96/11.35 (4) ~ (all_4_1 = all_4_2)
% 75.96/11.35 (5) ~ (all_4_2 = e4)
% 75.96/11.35 (6) all_6_5 = all_4_1
% 75.96/11.35 (7) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 75.96/11.35 (8) ~ (all_4_2 = e3)
% 75.96/11.35 (9) ~ (all_4_1 = e3)
% 75.96/11.35 (10) ~ (all_4_2 = e2)
% 75.96/11.35 (11) ~ (all_4_1 = e4)
% 75.96/11.35 (12) ~ (all_4_1 = e2)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | BETA: splitting (3) gives:
% 75.96/11.35 |
% 75.96/11.35 | Case 1:
% 75.96/11.35 | |
% 75.96/11.35 | | (13) all_6_10 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | COMBINE_EQS: (2), (13) imply:
% 75.96/11.35 | | (14) all_4_2 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | REDUCE: (1), (14) imply:
% 75.96/11.35 | | (15) $false
% 75.96/11.35 | |
% 75.96/11.35 | | CLOSE: (15) is inconsistent.
% 75.96/11.35 | |
% 75.96/11.35 | Case 2:
% 75.96/11.35 | |
% 75.96/11.35 | | (16) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 75.96/11.35 | |
% 75.96/11.35 | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (10), (11), (12), (16) are
% 75.96/11.35 | | inconsistent by sub-proof #106.
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #106 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) all_6_10 = all_4_2
% 75.96/11.35 (2) ~ (all_4_1 = all_4_2)
% 75.96/11.35 (3) ~ (all_4_2 = e4)
% 75.96/11.35 (4) all_6_5 = all_4_1
% 75.96/11.35 (5) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 75.96/11.35 (6) ~ (all_4_2 = e3)
% 75.96/11.35 (7) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 75.96/11.35 (8) ~ (all_4_1 = e3)
% 75.96/11.35 (9) ~ (all_4_2 = e2)
% 75.96/11.35 (10) ~ (all_4_1 = e4)
% 75.96/11.35 (11) ~ (all_4_1 = e2)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | BETA: splitting (5) gives:
% 75.96/11.35 |
% 75.96/11.35 | Case 1:
% 75.96/11.35 | |
% 75.96/11.35 | | (12) all_6_5 = e4
% 75.96/11.35 | |
% 75.96/11.35 | | REF_CLOSE: (4), (10), (12) are inconsistent by sub-proof #209.
% 75.96/11.35 | |
% 75.96/11.35 | Case 2:
% 75.96/11.35 | |
% 75.96/11.35 | | (13) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 75.96/11.35 | |
% 75.96/11.35 | | BETA: splitting (13) gives:
% 75.96/11.35 | |
% 75.96/11.35 | | Case 1:
% 75.96/11.35 | | |
% 75.96/11.35 | | | (14) all_6_5 = e3
% 75.96/11.35 | | |
% 75.96/11.35 | | | REF_CLOSE: (4), (8), (14) are inconsistent by sub-proof #206.
% 75.96/11.35 | | |
% 75.96/11.35 | | Case 2:
% 75.96/11.35 | | |
% 75.96/11.35 | | | (15) all_6_5 = e2 | all_6_5 = e1
% 75.96/11.35 | | |
% 75.96/11.35 | | | BETA: splitting (7) gives:
% 75.96/11.35 | | |
% 75.96/11.35 | | | Case 1:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | (16) all_6_10 = e4
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | COMBINE_EQS: (1), (16) imply:
% 75.96/11.35 | | | | (17) all_4_2 = e4
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | REDUCE: (3), (17) imply:
% 75.96/11.35 | | | | (18) $false
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | CLOSE: (18) is inconsistent.
% 75.96/11.35 | | | |
% 75.96/11.35 | | | Case 2:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | (19) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | BETA: splitting (15) gives:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | Case 1:
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | (20) all_6_5 = e2
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | REF_CLOSE: (4), (11), (20) are inconsistent by sub-proof #205.
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | Case 2:
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | (21) all_6_5 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | COMBINE_EQS: (4), (21) imply:
% 75.96/11.35 | | | | | (22) all_4_1 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | SIMP: (22) implies:
% 75.96/11.35 | | | | | (23) all_4_1 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | REDUCE: (2), (23) imply:
% 75.96/11.35 | | | | | (24) ~ (all_4_2 = e1)
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | SIMP: (24) implies:
% 75.96/11.35 | | | | | (25) ~ (all_4_2 = e1)
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | BETA: splitting (19) gives:
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | Case 1:
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | | (26) all_6_10 = e3
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | | REF_CLOSE: (1), (6), (26) are inconsistent by sub-proof #133.
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | Case 2:
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | | (27) all_6_10 = e2 | all_6_10 = e1
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | | REF_CLOSE: (1), (9), (25), (27) are inconsistent by sub-proof #268.
% 75.96/11.35 | | | | | |
% 75.96/11.35 | | | | | End of split
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | End of split
% 75.96/11.35 | | | |
% 75.96/11.35 | | | End of split
% 75.96/11.35 | | |
% 75.96/11.35 | | End of split
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #107 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) ~ (all_4_10 = e2)
% 75.96/11.35 (2) all_6_2 = all_4_10
% 75.96/11.35 (3) ~ (all_4_10 = e0)
% 75.96/11.35 (4) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.96/11.35 (5) ~ (all_4_11 = e0)
% 75.96/11.35 (6) ~ (all_4_11 = e3)
% 75.96/11.35 (7) all_6_7 = all_4_11
% 75.96/11.35 (8) ~ (all_4_10 = e3)
% 75.96/11.35 (9) ~ (all_4_10 = all_4_11)
% 75.96/11.35 (10) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 75.96/11.35 (11) ~ (all_4_11 = e4)
% 75.96/11.35 (12) ~ (all_4_11 = e2)
% 75.96/11.35 (13) ~ (all_4_10 = e4)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | BETA: splitting (10) gives:
% 75.96/11.35 |
% 75.96/11.35 | Case 1:
% 75.96/11.35 | |
% 75.96/11.35 | | (14) all_6_7 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | COMBINE_EQS: (7), (14) imply:
% 75.96/11.35 | | (15) all_4_11 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | REDUCE: (5), (15) imply:
% 75.96/11.35 | | (16) $false
% 75.96/11.35 | |
% 75.96/11.35 | | CLOSE: (16) is inconsistent.
% 75.96/11.35 | |
% 75.96/11.35 | Case 2:
% 75.96/11.35 | |
% 75.96/11.35 | | (17) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.96/11.35 | |
% 75.96/11.35 | | BETA: splitting (17) gives:
% 75.96/11.35 | |
% 75.96/11.35 | | Case 1:
% 75.96/11.35 | | |
% 75.96/11.35 | | | (18) all_6_7 = e4
% 75.96/11.35 | | |
% 75.96/11.35 | | | COMBINE_EQS: (7), (18) imply:
% 75.96/11.35 | | | (19) all_4_11 = e4
% 75.96/11.35 | | |
% 75.96/11.35 | | | REDUCE: (11), (19) imply:
% 75.96/11.35 | | | (20) $false
% 75.96/11.35 | | |
% 75.96/11.35 | | | CLOSE: (20) is inconsistent.
% 75.96/11.35 | | |
% 75.96/11.35 | | Case 2:
% 75.96/11.35 | | |
% 75.96/11.35 | | | (21) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.96/11.35 | | |
% 75.96/11.35 | | | BETA: splitting (21) gives:
% 75.96/11.35 | | |
% 75.96/11.35 | | | Case 1:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | (22) all_6_7 = e3
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | REF_CLOSE: (6), (7), (22) are inconsistent by sub-proof #267.
% 75.96/11.35 | | | |
% 75.96/11.35 | | | Case 2:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | (23) all_6_7 = e2 | all_6_7 = e1
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | BETA: splitting (23) gives:
% 75.96/11.35 | | | |
% 75.96/11.35 | | | | Case 1:
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | (24) all_6_7 = e2
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | REF_CLOSE: (7), (12), (24) are inconsistent by sub-proof #266.
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | Case 2:
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | (25) all_6_7 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | COMBINE_EQS: (7), (25) imply:
% 75.96/11.35 | | | | | (26) all_4_11 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | SIMP: (26) implies:
% 75.96/11.35 | | | | | (27) all_4_11 = e1
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | REDUCE: (9), (27) imply:
% 75.96/11.35 | | | | | (28) ~ (all_4_10 = e1)
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | | REF_CLOSE: (1), (2), (3), (4), (8), (13), (28) are inconsistent by
% 75.96/11.35 | | | | | sub-proof #108.
% 75.96/11.35 | | | | |
% 75.96/11.35 | | | | End of split
% 75.96/11.35 | | | |
% 75.96/11.35 | | | End of split
% 75.96/11.35 | | |
% 75.96/11.35 | | End of split
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #108 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) ~ (all_4_10 = e2)
% 75.96/11.35 (2) all_6_2 = all_4_10
% 75.96/11.35 (3) ~ (all_4_10 = e0)
% 75.96/11.35 (4) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0
% 75.96/11.35 (5) ~ (all_4_10 = e3)
% 75.96/11.35 (6) ~ (all_4_10 = e1)
% 75.96/11.35 (7) ~ (all_4_10 = e4)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | BETA: splitting (4) gives:
% 75.96/11.35 |
% 75.96/11.35 | Case 1:
% 75.96/11.35 | |
% 75.96/11.35 | | (8) all_6_2 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | COMBINE_EQS: (2), (8) imply:
% 75.96/11.35 | | (9) all_4_10 = e0
% 75.96/11.35 | |
% 75.96/11.35 | | REDUCE: (3), (9) imply:
% 75.96/11.35 | | (10) $false
% 75.96/11.35 | |
% 75.96/11.35 | | CLOSE: (10) is inconsistent.
% 75.96/11.35 | |
% 75.96/11.35 | Case 2:
% 75.96/11.35 | |
% 75.96/11.35 | | (11) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.96/11.35 | |
% 75.96/11.35 | | REF_CLOSE: (1), (2), (5), (6), (7), (11) are inconsistent by sub-proof #109.
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #109 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) ~ (all_4_10 = e2)
% 75.96/11.35 (2) all_6_2 = all_4_10
% 75.96/11.35 (3) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.96/11.35 (4) ~ (all_4_10 = e3)
% 75.96/11.35 (5) ~ (all_4_10 = e1)
% 75.96/11.35 (6) ~ (all_4_10 = e4)
% 75.96/11.35
% 75.96/11.35 Begin of proof
% 75.96/11.35 |
% 75.96/11.35 | BETA: splitting (3) gives:
% 75.96/11.35 |
% 75.96/11.35 | Case 1:
% 75.96/11.35 | |
% 75.96/11.35 | | (7) all_6_2 = e4
% 75.96/11.35 | |
% 75.96/11.35 | | REF_CLOSE: (2), (6), (7) are inconsistent by sub-proof #188.
% 75.96/11.35 | |
% 75.96/11.35 | Case 2:
% 75.96/11.35 | |
% 75.96/11.35 | | (8) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 75.96/11.35 | |
% 75.96/11.35 | | REF_CLOSE: (1), (2), (4), (5), (8) are inconsistent by sub-proof #179.
% 75.96/11.35 | |
% 75.96/11.35 | End of split
% 75.96/11.35 |
% 75.96/11.35 End of proof
% 75.96/11.35
% 75.96/11.35 Sub-proof #110 shows that the following formulas are inconsistent:
% 75.96/11.35 ----------------------------------------------------------------
% 75.96/11.35 (1) ~ (all_4_5 = e2)
% 75.96/11.35 (2) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 75.96/11.35 (3) all_6_1 = all_4_5
% 75.96/11.35 (4) ~ (all_4_5 = e4)
% 75.96/11.36 (5) ~ (all_4_5 = e1)
% 75.96/11.36 (6) ~ (all_4_5 = e3)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (2) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (7) all_6_1 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (3), (7) imply:
% 75.96/11.36 | | (8) all_4_5 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (4), (8) imply:
% 75.96/11.36 | | (9) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (9) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (10) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 75.96/11.36 | |
% 75.96/11.36 | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #162.
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #111 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) ~ (all_4_7 = e3)
% 75.96/11.36 (2) ~ (all_4_7 = e4)
% 75.96/11.36 (3) all_6_11 = all_4_7
% 75.96/11.36 (4) ~ (all_4_7 = e2)
% 75.96/11.36 (5) ~ (all_4_7 = e1)
% 75.96/11.36 (6) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (6) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (7) all_6_11 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (3), (7) imply:
% 75.96/11.36 | | (8) all_4_7 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (2), (8) imply:
% 75.96/11.36 | | (9) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (9) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (10) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 75.96/11.36 | |
% 75.96/11.36 | | REF_CLOSE: (1), (3), (4), (5), (10) are inconsistent by sub-proof #253.
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #112 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_113 = e1 & unit = e1
% 75.96/11.36 (2) unit = e0
% 75.96/11.36 (3) ~ (e1 = e0)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (4) unit = e1
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (4) imply:
% 75.96/11.36 | (5) e1 = e0
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #113 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_108 = e1 & ( ~ (all_10_109 = e2) | unit = e1)
% 75.96/11.36 (2) all_10_108 = e2
% 75.96/11.36 (3) ~ (e2 = e1)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (4) all_10_108 = e1
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (4) imply:
% 75.96/11.36 | (5) e2 = e1
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #114 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_107 = e1 & ( ~ (all_10_109 = e3) | unit = e1)
% 75.96/11.36 (2) all_10_107 = e3
% 75.96/11.36 (3) ~ (e3 = e1)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (4) all_10_107 = e1
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (4) imply:
% 75.96/11.36 | (5) e3 = e1
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #115 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_105 = e1 & ( ~ (all_10_113 = e0) | unit = e1)
% 75.96/11.36 (2) all_10_113 = e0
% 75.96/11.36 (3) unit = e0
% 75.96/11.36 (4) ~ (e1 = e0)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (5) ~ (all_10_113 = e0) | unit = e1
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (5) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (6) ~ (all_10_113 = e0)
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (2), (6) imply:
% 75.96/11.36 | | (7) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (7) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (8) unit = e1
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (3), (8) imply:
% 75.96/11.36 | | (9) e1 = e0
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (4), (9) imply:
% 75.96/11.36 | | (10) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (10) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #116 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_101 = e1 & ( ~ (all_10_100 = e0) | unit = e1)
% 75.96/11.36 (2) all_10_101 = e2
% 75.96/11.36 (3) ~ (e2 = e1)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (4) all_10_101 = e1
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (4) imply:
% 75.96/11.36 | (5) e2 = e1
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #117 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_10_97 = e1 & ( ~ (all_10_96 = e0) | unit = e1)
% 75.96/11.36 (2) all_10_97 = e3
% 75.96/11.36 (3) ~ (e3 = e1)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | ALPHA: (1) implies:
% 75.96/11.36 | (4) all_10_97 = e1
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (4) imply:
% 75.96/11.36 | (5) e3 = e1
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #118 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) ~ (e3 = e2)
% 75.96/11.36 (2) e1 = e0
% 75.96/11.36 (3) ~ (e2 = e0)
% 75.96/11.36 (4) all_8_21 = e3
% 75.96/11.36 (5) all_8_13 = e2 | all_8_21 = e2
% 75.96/11.36 (6) e2 = e1
% 75.96/11.36 (7) all_8_13 = e2
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (2), (6) imply:
% 75.96/11.36 | (8) e2 = e0
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (7), (8) imply:
% 75.96/11.36 | (9) all_8_13 = e0
% 75.96/11.36 |
% 75.96/11.36 | REF_CLOSE: (1), (3), (4), (5), (9) are inconsistent by sub-proof #195.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #119 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) ~ (e4 = e3)
% 75.96/11.36 (2) ~ (e4 = e2)
% 75.96/11.36 (3) all_8_2 = e0
% 75.96/11.36 (4) ~ (e4 = e0)
% 75.96/11.36 (5) all_8_5 = all_4_11
% 75.96/11.36 (6) all_8_10 = e2
% 75.96/11.36 (7) all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17 =
% 75.96/11.36 e4
% 75.96/11.36 (8) ~ (e4 = e1)
% 75.96/11.36 (9) e4 = e1
% 75.96/11.36 (10) ~ (all_4_11 = e4)
% 75.96/11.36 (11) all_8_17 = e3
% 75.96/11.36 (12) all_8_3 = e4
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (9), (12) imply:
% 75.96/11.36 | (13) all_8_3 = e1
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (7) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (14) all_8_2 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (3), (14) imply:
% 75.96/11.36 | | (15) e4 = e0
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (4), (15) imply:
% 75.96/11.36 | | (16) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (16) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (17) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | BETA: splitting (17) gives:
% 75.96/11.36 | |
% 75.96/11.36 | | Case 1:
% 75.96/11.36 | | |
% 75.96/11.36 | | |
% 75.96/11.36 | | | REF_CLOSE: (8), (12), (13) are inconsistent by sub-proof #191.
% 75.96/11.36 | | |
% 75.96/11.36 | | Case 2:
% 75.96/11.36 | | |
% 75.96/11.36 | | | (18) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 75.96/11.36 | | |
% 75.96/11.36 | | | REF_CLOSE: (1), (2), (5), (6), (10), (11), (18) are inconsistent by
% 75.96/11.36 | | | sub-proof #120.
% 75.96/11.36 | | |
% 75.96/11.36 | | End of split
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #120 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) ~ (e4 = e3)
% 75.96/11.36 (2) ~ (e4 = e2)
% 75.96/11.36 (3) all_8_5 = all_4_11
% 75.96/11.36 (4) all_8_10 = e2
% 75.96/11.36 (5) ~ (all_4_11 = e4)
% 75.96/11.36 (6) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4
% 75.96/11.36 (7) all_8_17 = e3
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (6) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (8) all_8_5 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (3), (8) imply:
% 75.96/11.36 | | (9) all_4_11 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | REDUCE: (5), (9) imply:
% 75.96/11.36 | | (10) $false
% 75.96/11.36 | |
% 75.96/11.36 | | CLOSE: (10) is inconsistent.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (11) all_8_10 = e4 | all_8_17 = e4
% 75.96/11.36 | |
% 75.96/11.36 | | BETA: splitting (11) gives:
% 75.96/11.36 | |
% 75.96/11.36 | | Case 1:
% 75.96/11.36 | | |
% 75.96/11.36 | | | (12) all_8_10 = e4
% 75.96/11.36 | | |
% 75.96/11.36 | | | COMBINE_EQS: (4), (12) imply:
% 75.96/11.36 | | | (13) e4 = e2
% 75.96/11.36 | | |
% 75.96/11.36 | | | REDUCE: (2), (13) imply:
% 75.96/11.36 | | | (14) $false
% 75.96/11.36 | | |
% 75.96/11.36 | | | CLOSE: (14) is inconsistent.
% 75.96/11.36 | | |
% 75.96/11.36 | | Case 2:
% 75.96/11.36 | | |
% 75.96/11.36 | | | (15) all_8_17 = e4
% 75.96/11.36 | | |
% 75.96/11.36 | | | COMBINE_EQS: (7), (15) imply:
% 75.96/11.36 | | | (16) e4 = e3
% 75.96/11.36 | | |
% 75.96/11.36 | | | REDUCE: (1), (16) imply:
% 75.96/11.36 | | | (17) $false
% 75.96/11.36 | | |
% 75.96/11.36 | | | CLOSE: (17) is inconsistent.
% 75.96/11.36 | | |
% 75.96/11.36 | | End of split
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #121 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) unit = e1
% 75.96/11.36 (2) unit = e0
% 75.96/11.36 (3) ~ (e1 = e0)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) e1 = e0
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) e1 = e0
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #122 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_8_2 = all_4_1
% 75.96/11.36 (2) all_6_5 = all_4_1
% 75.96/11.36 (3) ~ (all_8_2 = e1)
% 75.96/11.36 (4) all_6_5 = e2 | all_6_5 = e1
% 75.96/11.36 (5) ~ (all_4_1 = e2)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (1), (3) imply:
% 75.96/11.36 | (6) ~ (all_4_1 = e1)
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (4) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (7) all_6_5 = e2
% 75.96/11.36 | |
% 75.96/11.36 | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #205.
% 75.96/11.36 | |
% 75.96/11.36 | Case 2:
% 75.96/11.36 | |
% 75.96/11.36 | | (8) all_6_5 = e1
% 75.96/11.36 | |
% 75.96/11.36 | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #204.
% 75.96/11.36 | |
% 75.96/11.36 | End of split
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #123 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_6_2 = all_4_10
% 75.96/11.36 (2) all_6_2 = e0
% 75.96/11.36 (3) ~ (all_4_10 = e0)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) all_4_10 = e0
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) all_4_10 = e0
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #124 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_6_3 = all_4_15
% 75.96/11.36 (2) all_6_3 = e4
% 75.96/11.36 (3) ~ (all_4_15 = e4)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) all_4_15 = e4
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) all_4_15 = e4
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #125 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_8_12 = all_4_3
% 75.96/11.36 (2) all_8_12 = e4
% 75.96/11.36 (3) ~ (all_4_3 = e4)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) all_4_3 = e4
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) all_4_3 = e4
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #126 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_8_8 = all_4_12
% 75.96/11.36 (2) all_8_8 = e4
% 75.96/11.36 (3) ~ (all_4_12 = e4)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) all_4_12 = e4
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) all_4_12 = e4
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #127 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) all_8_6 = all_4_2
% 75.96/11.36 (2) all_8_6 = e4
% 75.96/11.36 (3) ~ (all_4_2 = e4)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.36 | (4) all_4_2 = e4
% 75.96/11.36 |
% 75.96/11.36 | SIMP: (4) implies:
% 75.96/11.36 | (5) all_4_2 = e4
% 75.96/11.36 |
% 75.96/11.36 | REDUCE: (3), (5) imply:
% 75.96/11.36 | (6) $false
% 75.96/11.36 |
% 75.96/11.36 | CLOSE: (6) is inconsistent.
% 75.96/11.36 |
% 75.96/11.36 End of proof
% 75.96/11.36
% 75.96/11.36 Sub-proof #128 shows that the following formulas are inconsistent:
% 75.96/11.36 ----------------------------------------------------------------
% 75.96/11.36 (1) ~ (all_4_5 = e2)
% 75.96/11.36 (2) ~ (all_4_12 = e1)
% 75.96/11.36 (3) all_8_22 = e2
% 75.96/11.36 (4) ~ (all_4_1 = all_4_11)
% 75.96/11.36 (5) ~ (all_4_1 = e0)
% 75.96/11.36 (6) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 =
% 75.96/11.36 e1
% 75.96/11.36 (7) all_8_5 = all_4_11
% 75.96/11.36 (8) all_6_5 = all_4_1
% 75.96/11.36 (9) ~ (all_4_13 = e1)
% 75.96/11.36 (10) all_6_1 = all_4_5
% 75.96/11.36 (11) ~ (all_4_5 = e4)
% 75.96/11.36 (12) all_8_8 = all_4_12
% 75.96/11.36 (13) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0
% 75.96/11.36 (14) all_8_14 = all_4_13
% 75.96/11.36 (15) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0
% 75.96/11.36 (16) all_8_4 = all_4_10
% 75.96/11.36 (17) ~ (all_4_1 = e3)
% 75.96/11.36 (18) ~ (all_4_5 = e0)
% 75.96/11.36 (19) ~ (all_4_5 = all_4_10)
% 75.96/11.36 (20) ~ (all_4_1 = e4)
% 75.96/11.36 (21) ~ (all_4_1 = e2)
% 75.96/11.36 (22) ~ (all_4_5 = e3)
% 75.96/11.36
% 75.96/11.36 Begin of proof
% 75.96/11.36 |
% 75.96/11.36 | BETA: splitting (15) gives:
% 75.96/11.36 |
% 75.96/11.36 | Case 1:
% 75.96/11.36 | |
% 75.96/11.36 | | (23) all_6_1 = e0
% 75.96/11.36 | |
% 75.96/11.36 | | COMBINE_EQS: (10), (23) imply:
% 75.96/11.37 | | (24) all_4_5 = e0
% 75.96/11.37 | |
% 75.96/11.37 | | REDUCE: (18), (24) imply:
% 75.96/11.37 | | (25) $false
% 75.96/11.37 | |
% 75.96/11.37 | | CLOSE: (25) is inconsistent.
% 75.96/11.37 | |
% 75.96/11.37 | Case 2:
% 75.96/11.37 | |
% 75.96/11.37 | | (26) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 75.96/11.37 | |
% 75.96/11.37 | | BETA: splitting (13) gives:
% 75.96/11.37 | |
% 75.96/11.37 | | Case 1:
% 75.96/11.37 | | |
% 75.96/11.37 | | | (27) all_6_5 = e0
% 75.96/11.37 | | |
% 75.96/11.37 | | | REF_CLOSE: (5), (8), (27) are inconsistent by sub-proof #211.
% 75.96/11.37 | | |
% 75.96/11.37 | | Case 2:
% 75.96/11.37 | | |
% 75.96/11.37 | | | (28) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 75.96/11.37 | | |
% 75.96/11.37 | | | BETA: splitting (26) gives:
% 75.96/11.37 | | |
% 75.96/11.37 | | | Case 1:
% 75.96/11.37 | | | |
% 75.96/11.37 | | | | (29) all_6_1 = e4
% 75.96/11.37 | | | |
% 75.96/11.37 | | | | REF_CLOSE: (10), (11), (29) are inconsistent by sub-proof #164.
% 75.96/11.37 | | | |
% 75.96/11.37 | | | Case 2:
% 75.96/11.37 | | | |
% 75.96/11.37 | | | | (30) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 75.96/11.37 | | | |
% 75.96/11.37 | | | | BETA: splitting (30) gives:
% 75.96/11.37 | | | |
% 75.96/11.37 | | | | Case 1:
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | | (31) all_6_1 = e3
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | | REF_CLOSE: (10), (22), (31) are inconsistent by sub-proof #163.
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | Case 2:
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | | (32) all_6_1 = e2 | all_6_1 = e1
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | | BETA: splitting (32) gives:
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | | Case 1:
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | (33) all_6_1 = e2
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | COMBINE_EQS: (10), (33) imply:
% 75.96/11.37 | | | | | | (34) all_4_5 = e2
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | SIMP: (34) implies:
% 75.96/11.37 | | | | | | (35) all_4_5 = e2
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | REDUCE: (1), (35) imply:
% 75.96/11.37 | | | | | | (36) $false
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | CLOSE: (36) is inconsistent.
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | Case 2:
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | (37) all_6_1 = e1
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | COMBINE_EQS: (10), (37) imply:
% 75.96/11.37 | | | | | | (38) all_4_5 = e1
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | SIMP: (38) implies:
% 75.96/11.37 | | | | | | (39) all_4_5 = e1
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | REDUCE: (19), (39) imply:
% 75.96/11.37 | | | | | | (40) ~ (all_4_10 = e1)
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | SIMP: (40) implies:
% 75.96/11.37 | | | | | | (41) ~ (all_4_10 = e1)
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | | REF_CLOSE: (2), (3), (4), (6), (7), (8), (9), (12), (14), (16),
% 75.96/11.37 | | | | | | (17), (20), (21), (28), (41) are inconsistent by
% 75.96/11.37 | | | | | | sub-proof #168.
% 75.96/11.37 | | | | | |
% 75.96/11.37 | | | | | End of split
% 75.96/11.37 | | | | |
% 75.96/11.37 | | | | End of split
% 75.96/11.37 | | | |
% 75.96/11.37 | | | End of split
% 75.96/11.37 | | |
% 75.96/11.37 | | End of split
% 75.96/11.37 | |
% 75.96/11.37 | End of split
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #129 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_8_3 = all_4_6
% 75.96/11.37 (2) all_8_3 = e2
% 75.96/11.37 (3) ~ (all_4_6 = e2)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.37 | (4) all_4_6 = e2
% 75.96/11.37 |
% 75.96/11.37 | SIMP: (4) implies:
% 75.96/11.37 | (5) all_4_6 = e2
% 75.96/11.37 |
% 75.96/11.37 | REDUCE: (3), (5) imply:
% 75.96/11.37 | (6) $false
% 75.96/11.37 |
% 75.96/11.37 | CLOSE: (6) is inconsistent.
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #130 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_8_1 = all_4_5
% 75.96/11.37 (2) all_8_1 = e2
% 75.96/11.37 (3) ~ (all_4_5 = e2)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.37 | (4) all_4_5 = e2
% 75.96/11.37 |
% 75.96/11.37 | SIMP: (4) implies:
% 75.96/11.37 | (5) all_4_5 = e2
% 75.96/11.37 |
% 75.96/11.37 | REDUCE: (3), (5) imply:
% 75.96/11.37 | (6) $false
% 75.96/11.37 |
% 75.96/11.37 | CLOSE: (6) is inconsistent.
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #131 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_8_2 = all_4_1
% 75.96/11.37 (2) all_8_2 = e2
% 75.96/11.37 (3) ~ (all_4_1 = e2)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.37 | (4) all_4_1 = e2
% 75.96/11.37 |
% 75.96/11.37 | SIMP: (4) implies:
% 75.96/11.37 | (5) all_4_1 = e2
% 75.96/11.37 |
% 75.96/11.37 | REDUCE: (3), (5) imply:
% 75.96/11.37 | (6) $false
% 75.96/11.37 |
% 75.96/11.37 | CLOSE: (6) is inconsistent.
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #132 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_6_6 = all_4_6
% 75.96/11.37 (2) all_6_6 = e4
% 75.96/11.37 (3) ~ (all_4_6 = e4)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.37 | (4) all_4_6 = e4
% 75.96/11.37 |
% 75.96/11.37 | SIMP: (4) implies:
% 75.96/11.37 | (5) all_4_6 = e4
% 75.96/11.37 |
% 75.96/11.37 | REDUCE: (3), (5) imply:
% 75.96/11.37 | (6) $false
% 75.96/11.37 |
% 75.96/11.37 | CLOSE: (6) is inconsistent.
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #133 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_6_10 = all_4_2
% 75.96/11.37 (2) all_6_10 = e3
% 75.96/11.37 (3) ~ (all_4_2 = e3)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | COMBINE_EQS: (1), (2) imply:
% 75.96/11.37 | (4) all_4_2 = e3
% 75.96/11.37 |
% 75.96/11.37 | SIMP: (4) implies:
% 75.96/11.37 | (5) all_4_2 = e3
% 75.96/11.37 |
% 75.96/11.37 | REDUCE: (3), (5) imply:
% 75.96/11.37 | (6) $false
% 75.96/11.37 |
% 75.96/11.37 | CLOSE: (6) is inconsistent.
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #134 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) ~ (all_4_13 = e2)
% 75.96/11.37 (2) ~ (e3 = e0)
% 75.96/11.37 (3) ~ (e2 = e0)
% 75.96/11.37 (4) all_8_22 = e2
% 75.96/11.37 (5) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 75.96/11.37 (6) all_6_17 = all_4_13
% 75.96/11.37 (7) ~ (all_4_13 = e1)
% 75.96/11.37 (8) ~ (all_4_11 = e1)
% 75.96/11.37 (9) ~ (all_4_11 = e0)
% 75.96/11.37 (10) ~ (all_4_11 = e3)
% 75.96/11.37 (11) all_6_7 = all_4_11
% 75.96/11.37 (12) ~ (all_4_11 = all_4_13)
% 75.96/11.37 (13) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0
% 75.96/11.37 (14) all_8_14 = e0 | all_8_22 = e0
% 75.96/11.37 (15) all_8_14 = all_4_13
% 75.96/11.37 (16) ~ (all_4_11 = e2)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | BETA: splitting (13) gives:
% 75.96/11.37 |
% 75.96/11.37 | Case 1:
% 75.96/11.37 | |
% 75.96/11.37 | | (17) all_6_7 = e0
% 75.96/11.37 | |
% 75.96/11.37 | | COMBINE_EQS: (11), (17) imply:
% 75.96/11.37 | | (18) all_4_11 = e0
% 75.96/11.37 | |
% 75.96/11.37 | | REDUCE: (9), (18) imply:
% 75.96/11.37 | | (19) $false
% 75.96/11.37 | |
% 75.96/11.37 | | CLOSE: (19) is inconsistent.
% 75.96/11.37 | |
% 75.96/11.37 | Case 2:
% 75.96/11.37 | |
% 75.96/11.37 | | (20) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.96/11.37 | |
% 75.96/11.37 | | BETA: splitting (20) gives:
% 75.96/11.37 | |
% 75.96/11.37 | | Case 1:
% 75.96/11.37 | | |
% 75.96/11.37 | | | (21) all_6_7 = e4
% 75.96/11.37 | | |
% 75.96/11.37 | | | COMBINE_EQS: (11), (21) imply:
% 75.96/11.37 | | | (22) all_4_11 = e4
% 75.96/11.37 | | |
% 75.96/11.37 | | | REDUCE: (12), (22) imply:
% 75.96/11.37 | | | (23) ~ (all_4_13 = e4)
% 75.96/11.37 | | |
% 75.96/11.37 | | | SIMP: (23) implies:
% 75.96/11.37 | | | (24) ~ (all_4_13 = e4)
% 75.96/11.37 | | |
% 75.96/11.37 | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (14), (15), (24) are
% 75.96/11.37 | | | inconsistent by sub-proof #174.
% 75.96/11.37 | | |
% 75.96/11.37 | | Case 2:
% 75.96/11.37 | | |
% 75.96/11.37 | | | (25) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 75.96/11.37 | | |
% 75.96/11.37 | | | REF_CLOSE: (8), (10), (11), (16), (25) are inconsistent by sub-proof #265.
% 75.96/11.37 | | |
% 75.96/11.37 | | End of split
% 75.96/11.37 | |
% 75.96/11.37 | End of split
% 75.96/11.37 |
% 75.96/11.37 End of proof
% 75.96/11.37
% 75.96/11.37 Sub-proof #135 shows that the following formulas are inconsistent:
% 75.96/11.37 ----------------------------------------------------------------
% 75.96/11.37 (1) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1
% 75.96/11.37 (2) all_6_16 = all_4_8
% 75.96/11.37 (3) ~ (all_4_8 = e2)
% 75.96/11.37 (4) ~ (all_4_8 = e3)
% 75.96/11.37 (5) ~ (all_4_8 = e1)
% 75.96/11.37
% 75.96/11.37 Begin of proof
% 75.96/11.37 |
% 75.96/11.37 | BETA: splitting (1) gives:
% 75.96/11.37 |
% 75.96/11.37 | Case 1:
% 75.96/11.37 | |
% 75.96/11.37 | | (6) all_6_16 = e3
% 75.96/11.37 | |
% 75.96/11.37 | | COMBINE_EQS: (2), (6) imply:
% 75.96/11.39 | | (7) all_4_8 = e3
% 75.96/11.39 | |
% 75.96/11.39 | | REDUCE: (4), (7) imply:
% 75.96/11.39 | | (8) $false
% 75.96/11.39 | |
% 75.96/11.39 | | CLOSE: (8) is inconsistent.
% 75.96/11.39 | |
% 75.96/11.39 | Case 2:
% 75.96/11.39 | |
% 75.96/11.39 | | (9) all_6_16 = e2 | all_6_16 = e1
% 75.96/11.39 | |
% 75.96/11.39 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #136.
% 75.96/11.39 | |
% 75.96/11.39 | End of split
% 75.96/11.39 |
% 75.96/11.39 End of proof
% 75.96/11.39
% 75.96/11.39 Sub-proof #136 shows that the following formulas are inconsistent:
% 75.96/11.39 ----------------------------------------------------------------
% 75.96/11.39 (1) all_6_16 = e2 | all_6_16 = e1
% 75.96/11.39 (2) all_6_16 = all_4_8
% 75.96/11.39 (3) ~ (all_4_8 = e2)
% 75.96/11.39 (4) ~ (all_4_8 = e1)
% 75.96/11.39
% 75.96/11.39 Begin of proof
% 75.96/11.39 |
% 75.96/11.39 | BETA: splitting (1) gives:
% 75.96/11.39 |
% 75.96/11.39 | Case 1:
% 75.96/11.39 | |
% 75.96/11.39 | | (5) all_6_16 = e2
% 75.96/11.39 | |
% 75.96/11.39 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.39 | | (6) all_4_8 = e2
% 76.22/11.39 | |
% 76.22/11.39 | | REDUCE: (3), (6) imply:
% 76.22/11.39 | | (7) $false
% 76.22/11.39 | |
% 76.22/11.39 | | CLOSE: (7) is inconsistent.
% 76.22/11.39 | |
% 76.22/11.39 | Case 2:
% 76.22/11.39 | |
% 76.22/11.39 | | (8) all_6_16 = e1
% 76.22/11.39 | |
% 76.22/11.39 | | COMBINE_EQS: (2), (8) imply:
% 76.22/11.39 | | (9) all_4_8 = e1
% 76.22/11.39 | |
% 76.22/11.39 | | REDUCE: (4), (9) imply:
% 76.22/11.39 | | (10) $false
% 76.22/11.39 | |
% 76.22/11.39 | | CLOSE: (10) is inconsistent.
% 76.22/11.39 | |
% 76.22/11.39 | End of split
% 76.22/11.39 |
% 76.22/11.39 End of proof
% 76.22/11.39
% 76.22/11.39 Sub-proof #137 shows that the following formulas are inconsistent:
% 76.22/11.39 ----------------------------------------------------------------
% 76.22/11.39 (1) all_8_20 = e4
% 76.22/11.39 (2) all_8_20 = e2
% 76.22/11.39 (3) ~ (e4 = e2)
% 76.22/11.39
% 76.22/11.39 Begin of proof
% 76.22/11.39 |
% 76.22/11.39 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.39 | (4) e4 = e2
% 76.22/11.39 |
% 76.22/11.39 | SIMP: (4) implies:
% 76.22/11.39 | (5) e4 = e2
% 76.22/11.39 |
% 76.22/11.39 | REDUCE: (3), (5) imply:
% 76.22/11.39 | (6) $false
% 76.22/11.39 |
% 76.22/11.39 | CLOSE: (6) is inconsistent.
% 76.22/11.39 |
% 76.22/11.39 End of proof
% 76.22/11.39
% 76.22/11.39 Sub-proof #138 shows that the following formulas are inconsistent:
% 76.22/11.39 ----------------------------------------------------------------
% 76.22/11.39 (1) ~ (all_10_63 = e4) | all_10_64 = e2
% 76.22/11.39 (2) all_10_63 = e4
% 76.22/11.39 (3) all_10_64 = e0
% 76.22/11.39 (4) ~ (e2 = e0)
% 76.22/11.39
% 76.22/11.39 Begin of proof
% 76.22/11.39 |
% 76.22/11.39 | BETA: splitting (1) gives:
% 76.22/11.39 |
% 76.22/11.39 | Case 1:
% 76.22/11.39 | |
% 76.22/11.39 | | (5) ~ (all_10_63 = e4)
% 76.22/11.39 | |
% 76.22/11.39 | | REDUCE: (2), (5) imply:
% 76.22/11.39 | | (6) $false
% 76.22/11.39 | |
% 76.22/11.39 | | CLOSE: (6) is inconsistent.
% 76.22/11.39 | |
% 76.22/11.39 | Case 2:
% 76.22/11.39 | |
% 76.22/11.39 | | (7) all_10_64 = e2
% 76.22/11.39 | |
% 76.22/11.39 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.39 | | (8) e2 = e0
% 76.22/11.39 | |
% 76.22/11.39 | | SIMP: (8) implies:
% 76.22/11.39 | | (9) e2 = e0
% 76.22/11.39 | |
% 76.22/11.39 | | REDUCE: (4), (9) imply:
% 76.22/11.39 | | (10) $false
% 76.22/11.39 | |
% 76.22/11.39 | | CLOSE: (10) is inconsistent.
% 76.22/11.39 | |
% 76.22/11.39 | End of split
% 76.22/11.39 |
% 76.22/11.39 End of proof
% 76.22/11.39
% 76.22/11.39 Sub-proof #139 shows that the following formulas are inconsistent:
% 76.22/11.39 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_10_50 = e1) | all_10_51 = e4
% 76.22/11.40 (2) all_10_50 = e1
% 76.22/11.40 (3) all_10_51 = e0
% 76.22/11.40 (4) ~ (e4 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (1) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (5) ~ (all_10_50 = e1)
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (2), (5) imply:
% 76.22/11.40 | | (6) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (6) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_10_51 = e4
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.40 | | (8) e4 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | SIMP: (8) implies:
% 76.22/11.40 | | (9) e4 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (9) imply:
% 76.22/11.40 | | (10) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (10) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #140 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_8_4 = e1
% 76.22/11.40 (2) all_8_4 = e0
% 76.22/11.40 (3) ~ (e1 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) e1 = e0
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) e1 = e0
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #141 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_5 = all_4_1
% 76.22/11.40 (2) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.40 (3) ~ (all_4_1 = e3)
% 76.22/11.40 (4) ~ (all_4_1 = e4)
% 76.22/11.40 (5) ~ (all_4_1 = e2)
% 76.22/11.40 (6) ~ (all_4_1 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (2) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_6_5 = e4
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (1), (7) imply:
% 76.22/11.40 | | (8) all_4_1 = e4
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (8) imply:
% 76.22/11.40 | | (9) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (9) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (10) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (1), (3), (5), (6), (10) are inconsistent by sub-proof #203.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #142 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_4_16 = e3)
% 76.22/11.40 (2) ~ (all_4_16 = e2)
% 76.22/11.40 (3) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 76.22/11.40 (4) ~ (all_4_16 = e1)
% 76.22/11.40 (5) all_6_8 = all_4_16
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (3) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (6) all_6_8 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #207.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_6_8 = e2 | all_6_8 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | BETA: splitting (7) gives:
% 76.22/11.40 | |
% 76.22/11.40 | | Case 1:
% 76.22/11.40 | | |
% 76.22/11.40 | | | (8) all_6_8 = e2
% 76.22/11.40 | | |
% 76.22/11.40 | | | COMBINE_EQS: (5), (8) imply:
% 76.22/11.40 | | | (9) all_4_16 = e2
% 76.22/11.40 | | |
% 76.22/11.40 | | | SIMP: (9) implies:
% 76.22/11.40 | | | (10) all_4_16 = e2
% 76.22/11.40 | | |
% 76.22/11.40 | | | REDUCE: (2), (10) imply:
% 76.22/11.40 | | | (11) $false
% 76.22/11.40 | | |
% 76.22/11.40 | | | CLOSE: (11) is inconsistent.
% 76.22/11.40 | | |
% 76.22/11.40 | | Case 2:
% 76.22/11.40 | | |
% 76.22/11.40 | | | (12) all_6_8 = e1
% 76.22/11.40 | | |
% 76.22/11.40 | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #202.
% 76.22/11.40 | | |
% 76.22/11.40 | | End of split
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #143 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (e3 = e0)
% 76.22/11.40 (2) ~ (e3 = e2)
% 76.22/11.40 (3) all_8_11 = e3 | all_8_18 = e3
% 76.22/11.40 (4) all_8_11 = e0
% 76.22/11.40 (5) all_8_18 = e2
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (3) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (6) all_8_11 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (4), (6) imply:
% 76.22/11.40 | | (7) e3 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (1), (7) imply:
% 76.22/11.40 | | (8) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (8) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (9) all_8_18 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (5), (9) imply:
% 76.22/11.40 | | (10) e3 = e2
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (2), (10) imply:
% 76.22/11.40 | | (11) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (11) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #144 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_4_13 = e2)
% 76.22/11.40 (2) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 76.22/11.40 (3) all_6_17 = all_4_13
% 76.22/11.40 (4) ~ (all_4_13 = e3)
% 76.22/11.40 (5) ~ (all_4_13 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (2) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (6) all_6_17 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (3), (6) imply:
% 76.22/11.40 | | (7) all_4_13 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (7) imply:
% 76.22/11.40 | | (8) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (8) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (9) all_6_17 = e2 | all_6_17 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #175.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #145 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (e3 = e0)
% 76.22/11.40 (2) all_10_111 = e0
% 76.22/11.40 (3) ~ (e1 = e0)
% 76.22/11.40 (4) ~ (e2 = e0)
% 76.22/11.40 (5) all_10_97 = e3
% 76.22/11.40 (6) all_10_87 = e1
% 76.22/11.40 (7) ~ (all_10_87 = e1) | all_10_88 = e0
% 76.22/11.40 (8) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 76.22/11.40 (all_10_91 = e4)) | (all_10_110 = e1 & ~ (all_10_92 = e4)) |
% 76.22/11.40 (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 & ~
% 76.22/11.40 (all_10_94 = e3)) | (all_10_111 = e2 & ~ (all_10_95 = e3)) |
% 76.22/11.40 (all_10_111 = e1 & ~ (all_10_96 = e3)) | (all_10_111 = e0 & ~
% 76.22/11.40 (all_10_97 = e3)) | (all_10_112 = e4 & ~ (all_10_98 = e2)) |
% 76.22/11.40 (all_10_112 = e3 & ~ (all_10_99 = e2)) | (all_10_112 = e1 & ~
% 76.22/11.40 (all_10_100 = e2)) | (all_10_112 = e0 & ~ (all_10_101 = e2)) |
% 76.22/11.40 (all_10_113 = e4 & ~ (all_10_102 = e1)) | (all_10_113 = e3 & ~
% 76.22/11.40 (all_10_103 = e1)) | (all_10_113 = e2 & ~ (all_10_104 = e1)) |
% 76.22/11.40 (all_10_113 = e0 & ~ (all_10_105 = e1)) | (all_10_114 = e4 & ~
% 76.22/11.40 (all_10_106 = e0)) | (all_10_114 = e3 & ~ (all_10_107 = e0)) |
% 76.22/11.40 (all_10_114 = e2 & ~ (all_10_108 = e0)) | (all_10_114 = e1 & ~
% 76.22/11.40 (all_10_109 = e0))
% 76.22/11.40 (9) ~ (e4 = e0)
% 76.22/11.40 (10) all_10_112 = e3
% 76.22/11.40 (11) all_10_113 = e3
% 76.22/11.40 (12) all_10_93 = e4
% 76.22/11.40 (13) all_10_101 = e2
% 76.22/11.40 (14) all_10_110 = e3
% 76.22/11.40 (15) all_10_114 = e0
% 76.22/11.40 (16) all_10_88 = e3
% 76.22/11.40 (17) all_10_105 = e1
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (7) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (18) ~ (all_10_87 = e1)
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (6), (18) imply:
% 76.22/11.40 | | (19) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (19) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (20) all_10_88 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (16), (20) imply:
% 76.22/11.40 | | (21) e3 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (11), (21) imply:
% 76.22/11.40 | | (22) all_10_113 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (10), (21) imply:
% 76.22/11.40 | | (23) all_10_112 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (14), (21) imply:
% 76.22/11.40 | | (24) all_10_110 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (9), (12), (13), (15), (17), (22),
% 76.22/11.40 | | (23), (24) are inconsistent by sub-proof #246.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #146 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_10_72 = e4) | all_10_73 = e1
% 76.22/11.40 (2) all_10_72 = e4
% 76.22/11.40 (3) all_10_73 = e0
% 76.22/11.40 (4) ~ (e1 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (1) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (5) ~ (all_10_72 = e4)
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (2), (5) imply:
% 76.22/11.40 | | (6) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (6) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_10_73 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.40 | | (8) e1 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | SIMP: (8) implies:
% 76.22/11.40 | | (9) e1 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (9) imply:
% 76.22/11.40 | | (10) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (10) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #147 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_10_48 = e2) | all_10_49 = e4
% 76.22/11.40 (2) all_10_48 = e2
% 76.22/11.40 (3) all_10_49 = e0
% 76.22/11.40 (4) ~ (e4 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (1) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (5) ~ (all_10_48 = e2)
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (2), (5) imply:
% 76.22/11.40 | | (6) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (6) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_10_49 = e4
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.40 | | (8) e4 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | SIMP: (8) implies:
% 76.22/11.40 | | (9) e4 = e0
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (9) imply:
% 76.22/11.40 | | (10) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (10) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #148 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_17 = all_4_13
% 76.22/11.40 (2) all_6_17 = e0
% 76.22/11.40 (3) ~ (all_4_13 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) all_4_13 = e0
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) all_4_13 = e0
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #149 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_8_7 = all_4_7
% 76.22/11.40 (2) all_8_7 = e3
% 76.22/11.40 (3) ~ (all_4_7 = e3)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) all_4_7 = e3
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) all_4_7 = e3
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #150 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_8_2 = e2
% 76.22/11.40 (2) all_8_2 = e1
% 76.22/11.40 (3) ~ (e2 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) e2 = e1
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) e2 = e1
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #151 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_8_0 = e3
% 76.22/11.40 (2) all_8_0 = e1
% 76.22/11.40 (3) ~ (e3 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) e3 = e1
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) e3 = e1
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #152 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_16 = all_4_8
% 76.22/11.40 (2) all_6_16 = e0
% 76.22/11.40 (3) ~ (all_4_8 = e0)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.40 | (4) all_4_8 = e0
% 76.22/11.40 |
% 76.22/11.40 | SIMP: (4) implies:
% 76.22/11.40 | (5) all_4_8 = e0
% 76.22/11.40 |
% 76.22/11.40 | REDUCE: (3), (5) imply:
% 76.22/11.40 | (6) $false
% 76.22/11.40 |
% 76.22/11.40 | CLOSE: (6) is inconsistent.
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #153 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 76.22/11.40 (2) ~ (all_4_0 = e2)
% 76.22/11.40 (3) ~ (all_4_0 = e3)
% 76.22/11.40 (4) all_6_0 = all_4_0
% 76.22/11.40 (5) ~ (all_4_0 = e1)
% 76.22/11.40 (6) ~ (all_4_0 = e4)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (1) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (7) all_6_0 = e4
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (4), (6), (7) are inconsistent by sub-proof #156.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (8) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (2), (3), (4), (5), (8) are inconsistent by sub-proof #154.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #154 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) ~ (all_4_0 = e2)
% 76.22/11.40 (2) ~ (all_4_0 = e3)
% 76.22/11.40 (3) all_6_0 = all_4_0
% 76.22/11.40 (4) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1
% 76.22/11.40 (5) ~ (all_4_0 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (4) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (6) all_6_0 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (3), (6) imply:
% 76.22/11.40 | | (7) all_4_0 = e3
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (2), (7) imply:
% 76.22/11.40 | | (8) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (8) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (9) all_6_0 = e2 | all_6_0 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #155.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #155 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_0 = e2 | all_6_0 = e1
% 76.22/11.40 (2) all_6_0 = all_4_0
% 76.22/11.40 (3) ~ (all_4_0 = e2)
% 76.22/11.40 (4) ~ (all_4_0 = e1)
% 76.22/11.40
% 76.22/11.40 Begin of proof
% 76.22/11.40 |
% 76.22/11.40 | BETA: splitting (1) gives:
% 76.22/11.40 |
% 76.22/11.40 | Case 1:
% 76.22/11.40 | |
% 76.22/11.40 | | (5) all_6_0 = e2
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.40 | | (6) all_4_0 = e2
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (3), (6) imply:
% 76.22/11.40 | | (7) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (7) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | Case 2:
% 76.22/11.40 | |
% 76.22/11.40 | | (8) all_6_0 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | COMBINE_EQS: (2), (8) imply:
% 76.22/11.40 | | (9) all_4_0 = e1
% 76.22/11.40 | |
% 76.22/11.40 | | REDUCE: (4), (9) imply:
% 76.22/11.40 | | (10) $false
% 76.22/11.40 | |
% 76.22/11.40 | | CLOSE: (10) is inconsistent.
% 76.22/11.40 | |
% 76.22/11.40 | End of split
% 76.22/11.40 |
% 76.22/11.40 End of proof
% 76.22/11.40
% 76.22/11.40 Sub-proof #156 shows that the following formulas are inconsistent:
% 76.22/11.40 ----------------------------------------------------------------
% 76.22/11.40 (1) all_6_0 = all_4_0
% 76.22/11.41 (2) all_6_0 = e4
% 76.22/11.41 (3) ~ (all_4_0 = e4)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_0 = e4
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_0 = e4
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #157 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_6 = all_4_6
% 76.22/11.41 (2) ~ (all_4_6 = e2)
% 76.22/11.41 (3) ~ (all_4_6 = e3)
% 76.22/11.41 (4) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1
% 76.22/11.41 (5) ~ (all_4_6 = e1)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (4) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (6) all_6_6 = e3
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #159.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (7) all_6_6 = e2 | all_6_6 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | BETA: splitting (7) gives:
% 76.22/11.41 | |
% 76.22/11.41 | | Case 1:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (8) all_6_6 = e2
% 76.22/11.41 | | |
% 76.22/11.41 | | | COMBINE_EQS: (1), (8) imply:
% 76.22/11.41 | | | (9) all_4_6 = e2
% 76.22/11.41 | | |
% 76.22/11.41 | | | SIMP: (9) implies:
% 76.22/11.41 | | | (10) all_4_6 = e2
% 76.22/11.41 | | |
% 76.22/11.41 | | | REDUCE: (2), (10) imply:
% 76.22/11.41 | | | (11) $false
% 76.22/11.41 | | |
% 76.22/11.41 | | | CLOSE: (11) is inconsistent.
% 76.22/11.41 | | |
% 76.22/11.41 | | Case 2:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (12) all_6_6 = e1
% 76.22/11.41 | | |
% 76.22/11.41 | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #158.
% 76.22/11.41 | | |
% 76.22/11.41 | | End of split
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #158 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_6 = all_4_6
% 76.22/11.41 (2) all_6_6 = e1
% 76.22/11.41 (3) ~ (all_4_6 = e1)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_6 = e1
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_6 = e1
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #159 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_6 = all_4_6
% 76.22/11.41 (2) all_6_6 = e3
% 76.22/11.41 (3) ~ (all_4_6 = e3)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_6 = e3
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_6 = e3
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #160 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_21 = e3
% 76.22/11.41 (2) all_8_21 = e0
% 76.22/11.41 (3) ~ (e3 = e0)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) e3 = e0
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) e3 = e0
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #161 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_13 = all_4_8
% 76.22/11.41 (2) all_8_13 = e0
% 76.22/11.41 (3) ~ (all_4_8 = e0)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_8 = e0
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_8 = e0
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #162 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_5 = e2)
% 76.22/11.41 (2) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1
% 76.22/11.41 (3) all_6_1 = all_4_5
% 76.22/11.41 (4) ~ (all_4_5 = e1)
% 76.22/11.41 (5) ~ (all_4_5 = e3)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (2) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (6) all_6_1 = e3
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #163.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (7) all_6_1 = e2 | all_6_1 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | BETA: splitting (7) gives:
% 76.22/11.41 | |
% 76.22/11.41 | | Case 1:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (8) all_6_1 = e2
% 76.22/11.41 | | |
% 76.22/11.41 | | | COMBINE_EQS: (3), (8) imply:
% 76.22/11.41 | | | (9) all_4_5 = e2
% 76.22/11.41 | | |
% 76.22/11.41 | | | REDUCE: (1), (9) imply:
% 76.22/11.41 | | | (10) $false
% 76.22/11.41 | | |
% 76.22/11.41 | | | CLOSE: (10) is inconsistent.
% 76.22/11.41 | | |
% 76.22/11.41 | | Case 2:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (11) all_6_1 = e1
% 76.22/11.41 | | |
% 76.22/11.41 | | | COMBINE_EQS: (3), (11) imply:
% 76.22/11.41 | | | (12) all_4_5 = e1
% 76.22/11.41 | | |
% 76.22/11.41 | | | REDUCE: (4), (12) imply:
% 76.22/11.41 | | | (13) $false
% 76.22/11.41 | | |
% 76.22/11.41 | | | CLOSE: (13) is inconsistent.
% 76.22/11.41 | | |
% 76.22/11.41 | | End of split
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #163 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_1 = all_4_5
% 76.22/11.41 (2) all_6_1 = e3
% 76.22/11.41 (3) ~ (all_4_5 = e3)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_5 = e3
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_5 = e3
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #164 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_1 = all_4_5
% 76.22/11.41 (2) all_6_1 = e4
% 76.22/11.41 (3) ~ (all_4_5 = e4)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_5 = e4
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_5 = e4
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #165 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_17 = e3
% 76.22/11.41 (2) all_8_17 = e0
% 76.22/11.41 (3) ~ (e3 = e0)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) e3 = e0
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) e3 = e0
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #166 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_16 = e4
% 76.22/11.41 (2) all_8_16 = e2
% 76.22/11.41 (3) ~ (e4 = e2)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) e4 = e2
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) e4 = e2
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #167 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_9 = all_4_15
% 76.22/11.41 (2) all_8_9 = e2
% 76.22/11.41 (3) ~ (all_4_15 = e2)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_15 = e2
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_15 = e2
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #168 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_12 = e1)
% 76.22/11.41 (2) all_8_22 = e2
% 76.22/11.41 (3) ~ (all_4_1 = all_4_11)
% 76.22/11.41 (4) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 =
% 76.22/11.41 e1
% 76.22/11.41 (5) all_8_5 = all_4_11
% 76.22/11.41 (6) all_6_5 = all_4_1
% 76.22/11.41 (7) ~ (all_4_13 = e1)
% 76.22/11.41 (8) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.41 (9) all_8_8 = all_4_12
% 76.22/11.41 (10) all_8_14 = all_4_13
% 76.22/11.41 (11) ~ (all_4_10 = e1)
% 76.22/11.41 (12) all_8_4 = all_4_10
% 76.22/11.41 (13) ~ (all_4_1 = e3)
% 76.22/11.41 (14) ~ (all_4_1 = e4)
% 76.22/11.41 (15) ~ (all_4_1 = e2)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (8) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (16) all_6_5 = e4
% 76.22/11.41 | |
% 76.22/11.41 | | COMBINE_EQS: (6), (16) imply:
% 76.22/11.41 | | (17) all_4_1 = e4
% 76.22/11.41 | |
% 76.22/11.41 | | REDUCE: (14), (17) imply:
% 76.22/11.41 | | (18) $false
% 76.22/11.41 | |
% 76.22/11.41 | | CLOSE: (18) is inconsistent.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (19) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | BETA: splitting (19) gives:
% 76.22/11.41 | |
% 76.22/11.41 | | Case 1:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (20) all_6_5 = e3
% 76.22/11.41 | | |
% 76.22/11.41 | | | COMBINE_EQS: (6), (20) imply:
% 76.22/11.41 | | | (21) all_4_1 = e3
% 76.22/11.41 | | |
% 76.22/11.41 | | | REDUCE: (13), (21) imply:
% 76.22/11.41 | | | (22) $false
% 76.22/11.41 | | |
% 76.22/11.41 | | | CLOSE: (22) is inconsistent.
% 76.22/11.41 | | |
% 76.22/11.41 | | Case 2:
% 76.22/11.41 | | |
% 76.22/11.41 | | | (23) all_6_5 = e2 | all_6_5 = e1
% 76.22/11.41 | | |
% 76.22/11.41 | | | BETA: splitting (23) gives:
% 76.22/11.41 | | |
% 76.22/11.41 | | | Case 1:
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | (24) all_6_5 = e2
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | COMBINE_EQS: (6), (24) imply:
% 76.22/11.41 | | | | (25) all_4_1 = e2
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | REDUCE: (15), (25) imply:
% 76.22/11.41 | | | | (26) $false
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | CLOSE: (26) is inconsistent.
% 76.22/11.41 | | | |
% 76.22/11.41 | | | Case 2:
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | (27) all_6_5 = e1
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | COMBINE_EQS: (6), (27) imply:
% 76.22/11.41 | | | | (28) all_4_1 = e1
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | REDUCE: (3), (28) imply:
% 76.22/11.41 | | | | (29) ~ (all_4_11 = e1)
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | SIMP: (29) implies:
% 76.22/11.41 | | | | (30) ~ (all_4_11 = e1)
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | REDUCE: (15), (28) imply:
% 76.22/11.41 | | | | (31) ~ (e2 = e1)
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | SIMP: (31) implies:
% 76.22/11.41 | | | | (32) ~ (e2 = e1)
% 76.22/11.41 | | | |
% 76.22/11.41 | | | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (10), (11), (12), (30), (32)
% 76.22/11.41 | | | | are inconsistent by sub-proof #169.
% 76.22/11.41 | | | |
% 76.22/11.41 | | | End of split
% 76.22/11.41 | | |
% 76.22/11.41 | | End of split
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #169 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_12 = e1)
% 76.22/11.41 (2) all_8_22 = e2
% 76.22/11.41 (3) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 =
% 76.22/11.41 e1
% 76.22/11.41 (4) all_8_5 = all_4_11
% 76.22/11.41 (5) ~ (all_4_13 = e1)
% 76.22/11.41 (6) ~ (all_4_11 = e1)
% 76.22/11.41 (7) all_8_8 = all_4_12
% 76.22/11.41 (8) all_8_14 = all_4_13
% 76.22/11.41 (9) ~ (e2 = e1)
% 76.22/11.41 (10) ~ (all_4_10 = e1)
% 76.22/11.41 (11) all_8_4 = all_4_10
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (3) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (12) all_8_4 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (10), (11), (12) are inconsistent by sub-proof #171.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (13) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (13) are inconsistent by
% 76.22/11.41 | | sub-proof #170.
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #170 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_12 = e1)
% 76.22/11.41 (2) all_8_22 = e2
% 76.22/11.41 (3) all_8_5 = all_4_11
% 76.22/11.41 (4) ~ (all_4_13 = e1)
% 76.22/11.41 (5) ~ (all_4_11 = e1)
% 76.22/11.41 (6) all_8_8 = all_4_12
% 76.22/11.41 (7) all_8_14 = all_4_13
% 76.22/11.41 (8) ~ (e2 = e1)
% 76.22/11.41 (9) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (9) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (10) all_8_5 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | COMBINE_EQS: (3), (10) imply:
% 76.22/11.41 | | (11) all_4_11 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | SIMP: (11) implies:
% 76.22/11.41 | | (12) all_4_11 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REDUCE: (5), (12) imply:
% 76.22/11.41 | | (13) $false
% 76.22/11.41 | |
% 76.22/11.41 | | CLOSE: (13) is inconsistent.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (14) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (1), (2), (4), (6), (7), (8), (14) are inconsistent by sub-proof
% 76.22/11.41 | | #252.
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #171 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_8_4 = all_4_10
% 76.22/11.41 (2) all_8_4 = e1
% 76.22/11.41 (3) ~ (all_4_10 = e1)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.41 | (4) all_4_10 = e1
% 76.22/11.41 |
% 76.22/11.41 | SIMP: (4) implies:
% 76.22/11.41 | (5) all_4_10 = e1
% 76.22/11.41 |
% 76.22/11.41 | REDUCE: (3), (5) imply:
% 76.22/11.41 | (6) $false
% 76.22/11.41 |
% 76.22/11.41 | CLOSE: (6) is inconsistent.
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #172 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_18 = e1)
% 76.22/11.41 (2) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1
% 76.22/11.41 (3) ~ (all_4_18 = e3)
% 76.22/11.41 (4) all_6_18 = all_4_18
% 76.22/11.41 (5) ~ (all_4_18 = e2)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (2) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (6) all_6_18 = e3
% 76.22/11.41 | |
% 76.22/11.41 | | COMBINE_EQS: (4), (6) imply:
% 76.22/11.41 | | (7) all_4_18 = e3
% 76.22/11.41 | |
% 76.22/11.41 | | REDUCE: (3), (7) imply:
% 76.22/11.41 | | (8) $false
% 76.22/11.41 | |
% 76.22/11.41 | | CLOSE: (8) is inconsistent.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (9) all_6_18 = e2 | all_6_18 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #173.
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #173 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) all_6_18 = e2 | all_6_18 = e1
% 76.22/11.41 (2) all_6_18 = all_4_18
% 76.22/11.41 (3) ~ (all_4_18 = e2)
% 76.22/11.41 (4) ~ (all_4_18 = e1)
% 76.22/11.41
% 76.22/11.41 Begin of proof
% 76.22/11.41 |
% 76.22/11.41 | BETA: splitting (1) gives:
% 76.22/11.41 |
% 76.22/11.41 | Case 1:
% 76.22/11.41 | |
% 76.22/11.41 | | (5) all_6_18 = e2
% 76.22/11.41 | |
% 76.22/11.41 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.41 | | (6) all_4_18 = e2
% 76.22/11.41 | |
% 76.22/11.41 | | REDUCE: (3), (6) imply:
% 76.22/11.41 | | (7) $false
% 76.22/11.41 | |
% 76.22/11.41 | | CLOSE: (7) is inconsistent.
% 76.22/11.41 | |
% 76.22/11.41 | Case 2:
% 76.22/11.41 | |
% 76.22/11.41 | | (8) all_6_18 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | COMBINE_EQS: (2), (8) imply:
% 76.22/11.41 | | (9) all_4_18 = e1
% 76.22/11.41 | |
% 76.22/11.41 | | REDUCE: (4), (9) imply:
% 76.22/11.41 | | (10) $false
% 76.22/11.41 | |
% 76.22/11.41 | | CLOSE: (10) is inconsistent.
% 76.22/11.41 | |
% 76.22/11.41 | End of split
% 76.22/11.41 |
% 76.22/11.41 End of proof
% 76.22/11.41
% 76.22/11.41 Sub-proof #174 shows that the following formulas are inconsistent:
% 76.22/11.41 ----------------------------------------------------------------
% 76.22/11.41 (1) ~ (all_4_13 = e2)
% 76.22/11.41 (2) ~ (e3 = e0)
% 76.22/11.41 (3) ~ (all_4_13 = e4)
% 76.22/11.41 (4) ~ (e2 = e0)
% 76.22/11.41 (5) all_8_22 = e2
% 76.22/11.42 (6) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 76.22/11.42 (7) all_6_17 = all_4_13
% 76.22/11.42 (8) ~ (all_4_13 = e1)
% 76.22/11.42 (9) all_8_14 = e0 | all_8_22 = e0
% 76.22/11.42 (10) all_8_14 = all_4_13
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (6) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (11) all_6_17 = e4
% 76.22/11.42 | |
% 76.22/11.42 | | REF_CLOSE: (3), (7), (11) are inconsistent by sub-proof #176.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (12) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | BETA: splitting (12) gives:
% 76.22/11.42 | |
% 76.22/11.42 | | Case 1:
% 76.22/11.42 | | |
% 76.22/11.42 | | | (13) all_6_17 = e3
% 76.22/11.42 | | |
% 76.22/11.42 | | | COMBINE_EQS: (7), (13) imply:
% 76.22/11.42 | | | (14) all_4_13 = e3
% 76.22/11.42 | | |
% 76.22/11.42 | | | SIMP: (14) implies:
% 76.22/11.42 | | | (15) all_4_13 = e3
% 76.22/11.42 | | |
% 76.22/11.42 | | | COMBINE_EQS: (10), (15) imply:
% 76.22/11.42 | | | (16) all_8_14 = e3
% 76.22/11.42 | | |
% 76.22/11.42 | | | BETA: splitting (9) gives:
% 76.22/11.42 | | |
% 76.22/11.42 | | | Case 1:
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | (17) all_8_14 = e0
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | COMBINE_EQS: (16), (17) imply:
% 76.22/11.42 | | | | (18) e3 = e0
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | SIMP: (18) implies:
% 76.22/11.42 | | | | (19) e3 = e0
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | REDUCE: (2), (19) imply:
% 76.22/11.42 | | | | (20) $false
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | CLOSE: (20) is inconsistent.
% 76.22/11.42 | | | |
% 76.22/11.42 | | | Case 2:
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | (21) all_8_22 = e0
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | COMBINE_EQS: (5), (21) imply:
% 76.22/11.42 | | | | (22) e2 = e0
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | REDUCE: (4), (22) imply:
% 76.22/11.42 | | | | (23) $false
% 76.22/11.42 | | | |
% 76.22/11.42 | | | | CLOSE: (23) is inconsistent.
% 76.22/11.42 | | | |
% 76.22/11.42 | | | End of split
% 76.22/11.42 | | |
% 76.22/11.42 | | Case 2:
% 76.22/11.42 | | |
% 76.22/11.42 | | | (24) all_6_17 = e2 | all_6_17 = e1
% 76.22/11.42 | | |
% 76.22/11.42 | | | REF_CLOSE: (1), (7), (8), (24) are inconsistent by sub-proof #175.
% 76.22/11.42 | | |
% 76.22/11.42 | | End of split
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #175 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_17 = e2 | all_6_17 = e1
% 76.22/11.42 (2) all_6_17 = all_4_13
% 76.22/11.42 (3) ~ (all_4_13 = e2)
% 76.22/11.42 (4) ~ (all_4_13 = e1)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (1) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (5) all_6_17 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.42 | | (6) all_4_13 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (6) implies:
% 76.22/11.42 | | (7) all_4_13 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (3), (7) imply:
% 76.22/11.42 | | (8) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (8) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (9) all_6_17 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (2), (9) imply:
% 76.22/11.42 | | (10) all_4_13 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (10) implies:
% 76.22/11.42 | | (11) all_4_13 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (11) imply:
% 76.22/11.42 | | (12) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (12) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #176 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_17 = all_4_13
% 76.22/11.42 (2) all_6_17 = e4
% 76.22/11.42 (3) ~ (all_4_13 = e4)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_13 = e4
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_13 = e4
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #177 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_8 = all_4_12
% 76.22/11.42 (2) all_8_8 = e0
% 76.22/11.42 (3) ~ (all_4_12 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_12 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_12 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #178 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (e3 = e1)
% 76.22/11.42 (2) all_8_23 = e1
% 76.22/11.42 (3) all_8_15 = e3 | all_8_23 = e3
% 76.22/11.42 (4) ~ (all_4_18 = e3)
% 76.22/11.42 (5) all_8_15 = all_4_18
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (3) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (6) all_8_15 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (5), (6) imply:
% 76.22/11.42 | | (7) all_4_18 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (7) implies:
% 76.22/11.42 | | (8) all_4_18 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (8) imply:
% 76.22/11.42 | | (9) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (9) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (10) all_8_23 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (2), (10) imply:
% 76.22/11.42 | | (11) e3 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (1), (11) imply:
% 76.22/11.42 | | (12) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (12) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #179 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (all_4_10 = e2)
% 76.22/11.42 (2) all_6_2 = all_4_10
% 76.22/11.42 (3) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 76.22/11.42 (4) ~ (all_4_10 = e3)
% 76.22/11.42 (5) ~ (all_4_10 = e1)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (3) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (6) all_6_2 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (2), (6) imply:
% 76.22/11.42 | | (7) all_4_10 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (7) implies:
% 76.22/11.42 | | (8) all_4_10 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (8) imply:
% 76.22/11.42 | | (9) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (9) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (10) all_6_2 = e2 | all_6_2 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | REF_CLOSE: (1), (2), (5), (10) are inconsistent by sub-proof #258.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #180 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (all_10_76 = e2) | all_10_77 = e1
% 76.22/11.42 (2) all_10_76 = e2
% 76.22/11.42 (3) all_10_77 = e0
% 76.22/11.42 (4) ~ (e1 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (1) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (5) ~ (all_10_76 = e2)
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (2), (5) imply:
% 76.22/11.42 | | (6) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (6) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (7) all_10_77 = e1
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.42 | | (8) e1 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (8) imply:
% 76.22/11.42 | | (9) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (9) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #181 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (all_10_65 = e3) | all_10_66 = e2
% 76.22/11.42 (2) all_10_65 = e3
% 76.22/11.42 (3) all_10_66 = e0
% 76.22/11.42 (4) ~ (e2 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (1) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (5) ~ (all_10_65 = e3)
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (2), (5) imply:
% 76.22/11.42 | | (6) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (6) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (7) all_10_66 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.42 | | (8) e2 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (8) implies:
% 76.22/11.42 | | (9) e2 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (9) imply:
% 76.22/11.42 | | (10) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (10) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #182 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (all_10_59 = e1) | all_10_60 = e3
% 76.22/11.42 (2) all_10_59 = e1
% 76.22/11.42 (3) all_10_60 = e0
% 76.22/11.42 (4) ~ (e3 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (1) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (5) ~ (all_10_59 = e1)
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (2), (5) imply:
% 76.22/11.42 | | (6) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (6) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (7) all_10_60 = e3
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.42 | | (8) e3 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | SIMP: (8) implies:
% 76.22/11.42 | | (9) e3 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (4), (9) imply:
% 76.22/11.42 | | (10) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (10) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #183 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_13 = all_4_17
% 76.22/11.42 (2) all_6_13 = e0
% 76.22/11.42 (3) ~ (all_4_17 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_17 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_17 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #184 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_18 = all_4_18
% 76.22/11.42 (2) all_6_18 = e0
% 76.22/11.42 (3) ~ (all_4_18 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_18 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_18 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #185 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_4 = all_4_10
% 76.22/11.42 (2) all_8_4 = e0
% 76.22/11.42 (3) ~ (all_4_10 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_10 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_10 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #186 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_5 = e1
% 76.22/11.42 (2) all_8_5 = e0
% 76.22/11.42 (3) ~ (e1 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) e1 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) e1 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #187 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_2 = all_4_1
% 76.22/11.42 (2) all_8_2 = e0
% 76.22/11.42 (3) ~ (all_4_1 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_1 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_1 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #188 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_2 = all_4_10
% 76.22/11.42 (2) all_6_2 = e4
% 76.22/11.42 (3) ~ (all_4_10 = e4)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_10 = e4
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_10 = e4
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #189 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_4 = all_4_10
% 76.22/11.42 (2) all_8_4 = e2
% 76.22/11.42 (3) ~ (all_4_10 = e2)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_10 = e2
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_10 = e2
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #190 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_0 = e2
% 76.22/11.42 (2) all_8_0 = e0
% 76.22/11.42 (3) ~ (e2 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) e2 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) e2 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #191 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_3 = e4
% 76.22/11.42 (2) all_8_3 = e1
% 76.22/11.42 (3) ~ (e4 = e1)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) e4 = e1
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) e4 = e1
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #192 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_16 = all_4_8
% 76.22/11.42 (2) all_6_16 = e4
% 76.22/11.42 (3) ~ (all_4_8 = e4)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_8 = e4
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_8 = e4
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #193 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_3 = e4
% 76.22/11.42 (2) all_8_3 = e0
% 76.22/11.42 (3) ~ (e4 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) e4 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) e4 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #194 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_1 = all_4_5
% 76.22/11.42 (2) all_8_1 = e0
% 76.22/11.42 (3) ~ (all_4_5 = e0)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_5 = e0
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_5 = e0
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #195 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) ~ (e3 = e2)
% 76.22/11.42 (2) ~ (e2 = e0)
% 76.22/11.42 (3) all_8_21 = e3
% 76.22/11.42 (4) all_8_13 = e2 | all_8_21 = e2
% 76.22/11.42 (5) all_8_13 = e0
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (4) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (6) all_8_13 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | COMBINE_EQS: (5), (6) imply:
% 76.22/11.42 | | (7) e2 = e0
% 76.22/11.42 | |
% 76.22/11.42 | | REDUCE: (2), (7) imply:
% 76.22/11.42 | | (8) $false
% 76.22/11.42 | |
% 76.22/11.42 | | CLOSE: (8) is inconsistent.
% 76.22/11.42 | |
% 76.22/11.42 | Case 2:
% 76.22/11.42 | |
% 76.22/11.42 | | (9) all_8_21 = e2
% 76.22/11.42 | |
% 76.22/11.42 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #196.
% 76.22/11.42 | |
% 76.22/11.42 | End of split
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #196 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_21 = e3
% 76.22/11.42 (2) all_8_21 = e2
% 76.22/11.42 (3) ~ (e3 = e2)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) e3 = e2
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) e3 = e2
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #197 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_8_7 = all_4_7
% 76.22/11.42 (2) all_8_7 = e2
% 76.22/11.42 (3) ~ (all_4_7 = e2)
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.42 | (4) all_4_7 = e2
% 76.22/11.42 |
% 76.22/11.42 | SIMP: (4) implies:
% 76.22/11.42 | (5) all_4_7 = e2
% 76.22/11.42 |
% 76.22/11.42 | REDUCE: (3), (5) imply:
% 76.22/11.42 | (6) $false
% 76.22/11.42 |
% 76.22/11.42 | CLOSE: (6) is inconsistent.
% 76.22/11.42 |
% 76.22/11.42 End of proof
% 76.22/11.42
% 76.22/11.42 Sub-proof #198 shows that the following formulas are inconsistent:
% 76.22/11.42 ----------------------------------------------------------------
% 76.22/11.42 (1) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 76.22/11.42 (2) ~ (all_4_15 = e2)
% 76.22/11.42 (3) ~ (all_4_15 = e4)
% 76.22/11.42 (4) ~ (all_4_15 = e1)
% 76.22/11.42 (5) ~ (all_4_15 = e3)
% 76.22/11.42 (6) all_6_3 = all_4_15
% 76.22/11.42
% 76.22/11.42 Begin of proof
% 76.22/11.42 |
% 76.22/11.42 | BETA: splitting (1) gives:
% 76.22/11.42 |
% 76.22/11.42 | Case 1:
% 76.22/11.42 | |
% 76.22/11.42 | | (7) all_6_3 = e4
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (6), (7) imply:
% 76.22/11.43 | | (8) all_4_15 = e4
% 76.22/11.43 | |
% 76.22/11.43 | | REDUCE: (3), (8) imply:
% 76.22/11.43 | | (9) $false
% 76.22/11.43 | |
% 76.22/11.43 | | CLOSE: (9) is inconsistent.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (10) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (2), (4), (5), (6), (10) are inconsistent by sub-proof #220.
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #199 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) ~ (all_4_11 = e1)
% 76.22/11.43 (2) ~ (all_4_11 = e3)
% 76.22/11.43 (3) all_6_7 = all_4_11
% 76.22/11.43 (4) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 76.22/11.43 (5) ~ (all_4_11 = e4)
% 76.22/11.43 (6) ~ (all_4_11 = e2)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (4) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (7) all_6_7 = e4
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (3), (5), (7) are inconsistent by sub-proof #200.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (8) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (1), (2), (3), (6), (8) are inconsistent by sub-proof #265.
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #200 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_7 = all_4_11
% 76.22/11.43 (2) all_6_7 = e4
% 76.22/11.43 (3) ~ (all_4_11 = e4)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_11 = e4
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_11 = e4
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #201 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) ~ (all_4_16 = e3)
% 76.22/11.43 (2) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0
% 76.22/11.43 (3) ~ (all_4_16 = e1)
% 76.22/11.43 (4) all_6_5 = all_4_1
% 76.22/11.43 (5) all_6_8 = all_4_16
% 76.22/11.43 (6) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.43 (7) ~ (all_4_16 = e0)
% 76.22/11.43 (8) ~ (all_4_1 = all_4_16)
% 76.22/11.43 (9) ~ (all_4_1 = e3)
% 76.22/11.43 (10) ~ (all_4_16 = e4)
% 76.22/11.43 (11) ~ (all_4_1 = e4)
% 76.22/11.43 (12) ~ (all_4_1 = e1)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (2) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (13) all_6_8 = e0
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (5), (7), (13) are inconsistent by sub-proof #210.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (14) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | BETA: splitting (6) gives:
% 76.22/11.43 | |
% 76.22/11.43 | | Case 1:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (15) all_6_5 = e4
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (4), (11), (15) are inconsistent by sub-proof #209.
% 76.22/11.43 | | |
% 76.22/11.43 | | Case 2:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (16) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.43 | | |
% 76.22/11.43 | | | BETA: splitting (14) gives:
% 76.22/11.43 | | |
% 76.22/11.43 | | | Case 1:
% 76.22/11.43 | | | |
% 76.22/11.43 | | | | (17) all_6_8 = e4
% 76.22/11.43 | | | |
% 76.22/11.43 | | | | REF_CLOSE: (5), (10), (17) are inconsistent by sub-proof #208.
% 76.22/11.43 | | | |
% 76.22/11.43 | | | Case 2:
% 76.22/11.43 | | | |
% 76.22/11.43 | | | | (18) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1
% 76.22/11.43 | | | |
% 76.22/11.43 | | | | BETA: splitting (18) gives:
% 76.22/11.43 | | | |
% 76.22/11.43 | | | | Case 1:
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | | (19) all_6_8 = e3
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | | REF_CLOSE: (1), (5), (19) are inconsistent by sub-proof #207.
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | Case 2:
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | | (20) all_6_8 = e2 | all_6_8 = e1
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | | BETA: splitting (20) gives:
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | | Case 1:
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | (21) all_6_8 = e2
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | COMBINE_EQS: (5), (21) imply:
% 76.22/11.43 | | | | | | (22) all_4_16 = e2
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | SIMP: (22) implies:
% 76.22/11.43 | | | | | | (23) all_4_16 = e2
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | REDUCE: (8), (23) imply:
% 76.22/11.43 | | | | | | (24) ~ (all_4_1 = e2)
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | REF_CLOSE: (4), (9), (12), (16), (24) are inconsistent by sub-proof
% 76.22/11.43 | | | | | | #203.
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | Case 2:
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | (25) all_6_8 = e1
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | | REF_CLOSE: (3), (5), (25) are inconsistent by sub-proof #202.
% 76.22/11.43 | | | | | |
% 76.22/11.43 | | | | | End of split
% 76.22/11.43 | | | | |
% 76.22/11.43 | | | | End of split
% 76.22/11.43 | | | |
% 76.22/11.43 | | | End of split
% 76.22/11.43 | | |
% 76.22/11.43 | | End of split
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #202 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_8 = all_4_16
% 76.22/11.43 (2) all_6_8 = e1
% 76.22/11.43 (3) ~ (all_4_16 = e1)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_16 = e1
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_16 = e1
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #203 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1
% 76.22/11.43 (2) all_6_5 = all_4_1
% 76.22/11.43 (3) ~ (all_4_1 = e3)
% 76.22/11.43 (4) ~ (all_4_1 = e2)
% 76.22/11.43 (5) ~ (all_4_1 = e1)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (1) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (6) all_6_5 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #206.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (7) all_6_5 = e2 | all_6_5 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | BETA: splitting (7) gives:
% 76.22/11.43 | |
% 76.22/11.43 | | Case 1:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (8) all_6_5 = e2
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #205.
% 76.22/11.43 | | |
% 76.22/11.43 | | Case 2:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (9) all_6_5 = e1
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (2), (5), (9) are inconsistent by sub-proof #204.
% 76.22/11.43 | | |
% 76.22/11.43 | | End of split
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #204 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = all_4_1
% 76.22/11.43 (2) all_6_5 = e1
% 76.22/11.43 (3) ~ (all_4_1 = e1)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_1 = e1
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_1 = e1
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #205 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = all_4_1
% 76.22/11.43 (2) all_6_5 = e2
% 76.22/11.43 (3) ~ (all_4_1 = e2)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_1 = e2
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_1 = e2
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #206 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = all_4_1
% 76.22/11.43 (2) all_6_5 = e3
% 76.22/11.43 (3) ~ (all_4_1 = e3)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_1 = e3
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_1 = e3
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #207 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_8 = all_4_16
% 76.22/11.43 (2) all_6_8 = e3
% 76.22/11.43 (3) ~ (all_4_16 = e3)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_16 = e3
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_16 = e3
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #208 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_8 = all_4_16
% 76.22/11.43 (2) all_6_8 = e4
% 76.22/11.43 (3) ~ (all_4_16 = e4)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_16 = e4
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_16 = e4
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #209 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = all_4_1
% 76.22/11.43 (2) all_6_5 = e4
% 76.22/11.43 (3) ~ (all_4_1 = e4)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_1 = e4
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_1 = e4
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #210 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_8 = all_4_16
% 76.22/11.43 (2) all_6_8 = e0
% 76.22/11.43 (3) ~ (all_4_16 = e0)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_16 = e0
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_16 = e0
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #211 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_5 = all_4_1
% 76.22/11.43 (2) all_6_5 = e0
% 76.22/11.43 (3) ~ (all_4_1 = e0)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) all_4_1 = e0
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) all_4_1 = e0
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #212 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_8_17 = e3
% 76.22/11.43 (2) all_8_17 = e2
% 76.22/11.43 (3) ~ (e3 = e2)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.43 | (4) e3 = e2
% 76.22/11.43 |
% 76.22/11.43 | SIMP: (4) implies:
% 76.22/11.43 | (5) e3 = e2
% 76.22/11.43 |
% 76.22/11.43 | REDUCE: (3), (5) imply:
% 76.22/11.43 | (6) $false
% 76.22/11.43 |
% 76.22/11.43 | CLOSE: (6) is inconsistent.
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #213 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 76.22/11.43 (2) ~ (all_4_3 = e2)
% 76.22/11.43 (3) ~ (all_4_3 = e1)
% 76.22/11.43 (4) ~ (all_4_3 = e4)
% 76.22/11.43 (5) ~ (all_4_3 = e3)
% 76.22/11.43 (6) all_6_15 = all_4_3
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (1) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (7) all_6_15 = e4
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (6), (7) imply:
% 76.22/11.43 | | (8) all_4_3 = e4
% 76.22/11.43 | |
% 76.22/11.43 | | REDUCE: (4), (8) imply:
% 76.22/11.43 | | (9) $false
% 76.22/11.43 | |
% 76.22/11.43 | | CLOSE: (9) is inconsistent.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (10) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | BETA: splitting (10) gives:
% 76.22/11.43 | |
% 76.22/11.43 | | Case 1:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (11) all_6_15 = e3
% 76.22/11.43 | | |
% 76.22/11.43 | | | COMBINE_EQS: (6), (11) imply:
% 76.22/11.43 | | | (12) all_4_3 = e3
% 76.22/11.43 | | |
% 76.22/11.43 | | | REDUCE: (5), (12) imply:
% 76.22/11.43 | | | (13) $false
% 76.22/11.43 | | |
% 76.22/11.43 | | | CLOSE: (13) is inconsistent.
% 76.22/11.43 | | |
% 76.22/11.43 | | Case 2:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (14) all_6_15 = e2 | all_6_15 = e1
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (2), (3), (6), (14) are inconsistent by sub-proof #214.
% 76.22/11.43 | | |
% 76.22/11.43 | | End of split
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #214 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) all_6_15 = e2 | all_6_15 = e1
% 76.22/11.43 (2) all_6_15 = all_4_3
% 76.22/11.43 (3) ~ (all_4_3 = e2)
% 76.22/11.43 (4) ~ (all_4_3 = e1)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (1) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (5) all_6_15 = e2
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.43 | | (6) all_4_3 = e2
% 76.22/11.43 | |
% 76.22/11.43 | | REDUCE: (3), (6) imply:
% 76.22/11.43 | | (7) $false
% 76.22/11.43 | |
% 76.22/11.43 | | CLOSE: (7) is inconsistent.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (8) all_6_15 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (2), (8) imply:
% 76.22/11.43 | | (9) all_4_3 = e1
% 76.22/11.43 | |
% 76.22/11.43 | | REDUCE: (4), (9) imply:
% 76.22/11.43 | | (10) $false
% 76.22/11.43 | |
% 76.22/11.43 | | CLOSE: (10) is inconsistent.
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #215 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) ~ (e4 = e3)
% 76.22/11.43 (2) all_8_2 = all_4_1
% 76.22/11.43 (3) ~ (e3 = e0)
% 76.22/11.43 (4) ~ (e3 = e2)
% 76.22/11.43 (5) all_8_20 = e4
% 76.22/11.43 (6) all_8_12 = e2
% 76.22/11.43 (7) ~ (all_4_17 = e1)
% 76.22/11.43 (8) all_6_13 = all_4_17
% 76.22/11.43 (9) all_8_0 = e0
% 76.22/11.43 (10) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.43 (11) all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | all_8_20 =
% 76.22/11.43 e3
% 76.22/11.43 (12) ~ (all_4_1 = e3)
% 76.22/11.43 (13) all_8_6 = all_4_2
% 76.22/11.43 (14) ~ (all_4_2 = all_4_17)
% 76.22/11.43 (15) ~ (all_4_17 = e2)
% 76.22/11.43 (16) ~ (all_4_17 = e4)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (11) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (17) all_8_0 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (9), (17) imply:
% 76.22/11.43 | | (18) e3 = e0
% 76.22/11.43 | |
% 76.22/11.43 | | REDUCE: (3), (18) imply:
% 76.22/11.43 | | (19) $false
% 76.22/11.43 | |
% 76.22/11.43 | | CLOSE: (19) is inconsistent.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (20) all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | BETA: splitting (20) gives:
% 76.22/11.43 | |
% 76.22/11.43 | | Case 1:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (21) all_8_2 = e3
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (2), (12), (21) are inconsistent by sub-proof #219.
% 76.22/11.43 | | |
% 76.22/11.43 | | Case 2:
% 76.22/11.43 | | |
% 76.22/11.43 | | | (22) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 76.22/11.43 | | |
% 76.22/11.43 | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (13), (14), (15), (16),
% 76.22/11.43 | | | (22) are inconsistent by sub-proof #216.
% 76.22/11.43 | | |
% 76.22/11.43 | | End of split
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #216 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) ~ (e4 = e3)
% 76.22/11.43 (2) ~ (e3 = e2)
% 76.22/11.43 (3) all_8_20 = e4
% 76.22/11.43 (4) all_8_12 = e2
% 76.22/11.43 (5) ~ (all_4_17 = e1)
% 76.22/11.43 (6) all_6_13 = all_4_17
% 76.22/11.43 (7) all_8_6 = e3 | all_8_12 = e3 | all_8_20 = e3
% 76.22/11.43 (8) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.43 (9) all_8_6 = all_4_2
% 76.22/11.43 (10) ~ (all_4_2 = all_4_17)
% 76.22/11.43 (11) ~ (all_4_17 = e2)
% 76.22/11.43 (12) ~ (all_4_17 = e4)
% 76.22/11.43
% 76.22/11.43 Begin of proof
% 76.22/11.43 |
% 76.22/11.43 | BETA: splitting (7) gives:
% 76.22/11.43 |
% 76.22/11.43 | Case 1:
% 76.22/11.43 | |
% 76.22/11.43 | | (13) all_8_6 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | COMBINE_EQS: (9), (13) imply:
% 76.22/11.43 | | (14) all_4_2 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | SIMP: (14) implies:
% 76.22/11.43 | | (15) all_4_2 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (5), (6), (8), (10), (11), (12), (15) are inconsistent by
% 76.22/11.43 | | sub-proof #230.
% 76.22/11.43 | |
% 76.22/11.43 | Case 2:
% 76.22/11.43 | |
% 76.22/11.43 | | (16) all_8_12 = e3 | all_8_20 = e3
% 76.22/11.43 | |
% 76.22/11.43 | | REF_CLOSE: (1), (2), (3), (4), (16) are inconsistent by sub-proof #217.
% 76.22/11.43 | |
% 76.22/11.43 | End of split
% 76.22/11.43 |
% 76.22/11.43 End of proof
% 76.22/11.43
% 76.22/11.43 Sub-proof #217 shows that the following formulas are inconsistent:
% 76.22/11.43 ----------------------------------------------------------------
% 76.22/11.43 (1) ~ (e4 = e3)
% 76.22/11.44 (2) ~ (e3 = e2)
% 76.22/11.44 (3) all_8_20 = e4
% 76.22/11.44 (4) all_8_12 = e2
% 76.22/11.44 (5) all_8_12 = e3 | all_8_20 = e3
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (5) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (6) all_8_12 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (4), (6) imply:
% 76.22/11.44 | | (7) e3 = e2
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (2), (7) imply:
% 76.22/11.44 | | (8) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (8) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (9) all_8_20 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #218.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #218 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_8_20 = e4
% 76.22/11.44 (2) all_8_20 = e3
% 76.22/11.44 (3) ~ (e4 = e3)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.44 | (4) e4 = e3
% 76.22/11.44 |
% 76.22/11.44 | SIMP: (4) implies:
% 76.22/11.44 | (5) e4 = e3
% 76.22/11.44 |
% 76.22/11.44 | REDUCE: (3), (5) imply:
% 76.22/11.44 | (6) $false
% 76.22/11.44 |
% 76.22/11.44 | CLOSE: (6) is inconsistent.
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #219 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_8_2 = all_4_1
% 76.22/11.44 (2) all_8_2 = e3
% 76.22/11.44 (3) ~ (all_4_1 = e3)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.44 | (4) all_4_1 = e3
% 76.22/11.44 |
% 76.22/11.44 | SIMP: (4) implies:
% 76.22/11.44 | (5) all_4_1 = e3
% 76.22/11.44 |
% 76.22/11.44 | REDUCE: (3), (5) imply:
% 76.22/11.44 | (6) $false
% 76.22/11.44 |
% 76.22/11.44 | CLOSE: (6) is inconsistent.
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #220 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_4_15 = e2)
% 76.22/11.44 (2) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1
% 76.22/11.44 (3) ~ (all_4_15 = e1)
% 76.22/11.44 (4) ~ (all_4_15 = e3)
% 76.22/11.44 (5) all_6_3 = all_4_15
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (2) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (6) all_6_3 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (5), (6) imply:
% 76.22/11.44 | | (7) all_4_15 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (7) imply:
% 76.22/11.44 | | (8) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (8) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (9) all_6_3 = e2 | all_6_3 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (1), (3), (5), (9) are inconsistent by sub-proof #221.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #221 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_6_3 = e2 | all_6_3 = e1
% 76.22/11.44 (2) all_6_3 = all_4_15
% 76.22/11.44 (3) ~ (all_4_15 = e2)
% 76.22/11.44 (4) ~ (all_4_15 = e1)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (1) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (5) all_6_3 = e2
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.44 | | (6) all_4_15 = e2
% 76.22/11.44 | |
% 76.22/11.44 | | SIMP: (6) implies:
% 76.22/11.44 | | (7) all_4_15 = e2
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (3), (7) imply:
% 76.22/11.44 | | (8) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (8) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (9) all_6_3 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #222.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #222 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_6_3 = all_4_15
% 76.22/11.44 (2) all_6_3 = e1
% 76.22/11.44 (3) ~ (all_4_15 = e1)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.44 | (4) all_4_15 = e1
% 76.22/11.44 |
% 76.22/11.44 | SIMP: (4) implies:
% 76.22/11.44 | (5) all_4_15 = e1
% 76.22/11.44 |
% 76.22/11.44 | REDUCE: (3), (5) imply:
% 76.22/11.44 | (6) $false
% 76.22/11.44 |
% 76.22/11.44 | CLOSE: (6) is inconsistent.
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #223 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_8_19 = e1
% 76.22/11.44 (2) all_8_15 = e4 | all_8_19 = e4
% 76.22/11.44 (3) ~ (e4 = e0)
% 76.22/11.44 (4) ~ (e4 = e1)
% 76.22/11.44 (5) all_8_15 = e0
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (2) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (6) all_8_15 = e4
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (5), (6) imply:
% 76.22/11.44 | | (7) e4 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (3), (7) imply:
% 76.22/11.44 | | (8) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (8) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (9) all_8_19 = e4
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (1), (9) imply:
% 76.22/11.44 | | (10) e4 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (10) imply:
% 76.22/11.44 | | (11) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (11) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #224 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_10_74 = e3) | all_10_75 = e1
% 76.22/11.44 (2) all_10_74 = e3
% 76.22/11.44 (3) all_10_75 = e0
% 76.22/11.44 (4) ~ (e1 = e0)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (1) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (5) ~ (all_10_74 = e3)
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (2), (5) imply:
% 76.22/11.44 | | (6) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (6) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (7) all_10_75 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.44 | | (8) e1 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | SIMP: (8) implies:
% 76.22/11.44 | | (9) e1 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (9) imply:
% 76.22/11.44 | | (10) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (10) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #225 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_10_68 = e1) | all_10_69 = e2
% 76.22/11.44 (2) all_10_68 = e1
% 76.22/11.44 (3) all_10_69 = e0
% 76.22/11.44 (4) ~ (e2 = e0)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (1) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (5) ~ (all_10_68 = e1)
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (2), (5) imply:
% 76.22/11.44 | | (6) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (6) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (7) all_10_69 = e2
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.44 | | (8) e2 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (8) imply:
% 76.22/11.44 | | (9) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (9) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #226 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_10_57 = e2) | all_10_58 = e3
% 76.22/11.44 (2) all_10_57 = e2
% 76.22/11.44 (3) all_10_58 = e0
% 76.22/11.44 (4) ~ (e3 = e0)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (1) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (5) ~ (all_10_57 = e2)
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (2), (5) imply:
% 76.22/11.44 | | (6) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (6) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (7) all_10_58 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (3), (7) imply:
% 76.22/11.44 | | (8) e3 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | SIMP: (8) implies:
% 76.22/11.44 | | (9) e3 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (9) imply:
% 76.22/11.44 | | (10) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (10) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #227 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_4_17 = all_4_18)
% 76.22/11.44 (2) all_8_19 = e1
% 76.22/11.44 (3) all_6_10 = all_4_2
% 76.22/11.44 (4) ~ (e1 = e0)
% 76.22/11.44 (5) ~ (e2 = e0)
% 76.22/11.44 (6) all_8_12 = e2
% 76.22/11.44 (7) ~ (all_4_17 = e1)
% 76.22/11.44 (8) all_6_13 = all_4_17
% 76.22/11.44 (9) ~ (all_4_2 = e4)
% 76.22/11.44 (10) ~ (e4 = e0)
% 76.22/11.44 (11) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13
% 76.22/11.44 = e0
% 76.22/11.44 (12) all_8_13 = e4
% 76.22/11.44 (13) all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | all_8_19
% 76.22/11.44 = e0
% 76.22/11.44 (14) all_8_15 = all_4_18
% 76.22/11.44 (15) ~ (all_4_2 = e1)
% 76.22/11.44 (16) all_8_14 = all_4_13
% 76.22/11.44 (17) all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 76.22/11.44 (18) ~ (all_4_2 = e2)
% 76.22/11.44 (19) ~ (all_4_2 = all_4_17)
% 76.22/11.44 (20) ~ (all_4_13 = e0)
% 76.22/11.44 (21) ~ (all_4_17 = e2)
% 76.22/11.44 (22) ~ (all_4_17 = e4)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (13) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (23) all_8_12 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (5), (6), (23) are inconsistent by sub-proof #235.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (24) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | BETA: splitting (24) gives:
% 76.22/11.44 | |
% 76.22/11.44 | | Case 1:
% 76.22/11.44 | | |
% 76.22/11.44 | | | (25) all_8_13 = e0
% 76.22/11.44 | | |
% 76.22/11.44 | | | COMBINE_EQS: (12), (25) imply:
% 76.22/11.44 | | | (26) e4 = e0
% 76.22/11.44 | | |
% 76.22/11.44 | | | SIMP: (26) implies:
% 76.22/11.44 | | | (27) e4 = e0
% 76.22/11.44 | | |
% 76.22/11.44 | | | REDUCE: (10), (27) imply:
% 76.22/11.44 | | | (28) $false
% 76.22/11.44 | | |
% 76.22/11.44 | | | CLOSE: (28) is inconsistent.
% 76.22/11.44 | | |
% 76.22/11.44 | | Case 2:
% 76.22/11.44 | | |
% 76.22/11.44 | | | (29) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0
% 76.22/11.44 | | |
% 76.22/11.44 | | | BETA: splitting (17) gives:
% 76.22/11.44 | | |
% 76.22/11.44 | | | Case 1:
% 76.22/11.44 | | | |
% 76.22/11.44 | | | | (30) all_6_10 = e4
% 76.22/11.44 | | | |
% 76.22/11.44 | | | | REF_CLOSE: (3), (9), (30) are inconsistent by sub-proof #275.
% 76.22/11.44 | | | |
% 76.22/11.44 | | | Case 2:
% 76.22/11.44 | | | |
% 76.22/11.44 | | | | (31) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 76.22/11.44 | | | |
% 76.22/11.44 | | | | BETA: splitting (29) gives:
% 76.22/11.44 | | | |
% 76.22/11.44 | | | | Case 1:
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | | (32) all_8_14 = e0
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | | REF_CLOSE: (16), (20), (32) are inconsistent by sub-proof #234.
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | Case 2:
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | | (33) all_8_15 = e0 | all_8_19 = e0
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | | BETA: splitting (33) gives:
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | | Case 1:
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | (34) all_8_15 = e0
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | COMBINE_EQS: (14), (34) imply:
% 76.22/11.44 | | | | | | (35) all_4_18 = e0
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | SIMP: (35) implies:
% 76.22/11.44 | | | | | | (36) all_4_18 = e0
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | REDUCE: (1), (36) imply:
% 76.22/11.44 | | | | | | (37) ~ (all_4_17 = e0)
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | REF_CLOSE: (3), (7), (8), (11), (15), (18), (19), (21), (22), (31),
% 76.22/11.44 | | | | | | (37) are inconsistent by sub-proof #229.
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | Case 2:
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | (38) all_8_19 = e0
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | | REF_CLOSE: (2), (4), (38) are inconsistent by sub-proof #228.
% 76.22/11.44 | | | | | |
% 76.22/11.44 | | | | | End of split
% 76.22/11.44 | | | | |
% 76.22/11.44 | | | | End of split
% 76.22/11.44 | | | |
% 76.22/11.44 | | | End of split
% 76.22/11.44 | | |
% 76.22/11.44 | | End of split
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #228 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_8_19 = e1
% 76.22/11.44 (2) all_8_19 = e0
% 76.22/11.44 (3) ~ (e1 = e0)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.44 | (4) e1 = e0
% 76.22/11.44 |
% 76.22/11.44 | SIMP: (4) implies:
% 76.22/11.44 | (5) e1 = e0
% 76.22/11.44 |
% 76.22/11.44 | REDUCE: (3), (5) imply:
% 76.22/11.44 | (6) $false
% 76.22/11.44 |
% 76.22/11.44 | CLOSE: (6) is inconsistent.
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #229 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) all_6_10 = all_4_2
% 76.22/11.44 (2) ~ (all_4_17 = e1)
% 76.22/11.44 (3) all_6_13 = all_4_17
% 76.22/11.44 (4) ~ (all_4_17 = e0)
% 76.22/11.44 (5) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13
% 76.22/11.44 = e0
% 76.22/11.44 (6) ~ (all_4_2 = e1)
% 76.22/11.44 (7) all_6_10 = e3 | all_6_10 = e2 | all_6_10 = e1
% 76.22/11.44 (8) ~ (all_4_2 = e2)
% 76.22/11.44 (9) ~ (all_4_2 = all_4_17)
% 76.22/11.44 (10) ~ (all_4_17 = e2)
% 76.22/11.44 (11) ~ (all_4_17 = e4)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (5) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (12) all_6_13 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (3), (12) imply:
% 76.22/11.44 | | (13) all_4_17 = e0
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (4), (13) imply:
% 76.22/11.44 | | (14) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (14) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (15) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | BETA: splitting (7) gives:
% 76.22/11.44 | |
% 76.22/11.44 | | Case 1:
% 76.22/11.44 | | |
% 76.22/11.44 | | | (16) all_6_10 = e3
% 76.22/11.44 | | |
% 76.22/11.44 | | | COMBINE_EQS: (1), (16) imply:
% 76.22/11.44 | | | (17) all_4_2 = e3
% 76.22/11.44 | | |
% 76.22/11.44 | | | REF_CLOSE: (2), (3), (9), (10), (11), (15), (17) are inconsistent by
% 76.22/11.44 | | | sub-proof #230.
% 76.22/11.44 | | |
% 76.22/11.44 | | Case 2:
% 76.22/11.44 | | |
% 76.22/11.44 | | | (18) all_6_10 = e2 | all_6_10 = e1
% 76.22/11.44 | | |
% 76.22/11.44 | | | REF_CLOSE: (1), (6), (8), (18) are inconsistent by sub-proof #268.
% 76.22/11.44 | | |
% 76.22/11.44 | | End of split
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #230 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_4_17 = e1)
% 76.22/11.44 (2) all_6_13 = all_4_17
% 76.22/11.44 (3) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 (4) all_4_2 = e3
% 76.22/11.44 (5) ~ (all_4_2 = all_4_17)
% 76.22/11.44 (6) ~ (all_4_17 = e2)
% 76.22/11.44 (7) ~ (all_4_17 = e4)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | REDUCE: (4), (5) imply:
% 76.22/11.44 | (8) ~ (all_4_17 = e3)
% 76.22/11.44 |
% 76.22/11.44 | SIMP: (8) implies:
% 76.22/11.44 | (9) ~ (all_4_17 = e3)
% 76.22/11.44 |
% 76.22/11.44 | REF_CLOSE: (1), (2), (3), (6), (7), (9) are inconsistent by sub-proof #231.
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #231 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_4_17 = e1)
% 76.22/11.44 (2) all_6_13 = all_4_17
% 76.22/11.44 (3) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 (4) ~ (all_4_17 = e3)
% 76.22/11.44 (5) ~ (all_4_17 = e2)
% 76.22/11.44 (6) ~ (all_4_17 = e4)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (3) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (7) all_6_13 = e4
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (2), (7) imply:
% 76.22/11.44 | | (8) all_4_17 = e4
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (6), (8) imply:
% 76.22/11.44 | | (9) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (9) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (10) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (1), (2), (4), (5), (10) are inconsistent by sub-proof #232.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.44 End of proof
% 76.22/11.44
% 76.22/11.44 Sub-proof #232 shows that the following formulas are inconsistent:
% 76.22/11.44 ----------------------------------------------------------------
% 76.22/11.44 (1) ~ (all_4_17 = e1)
% 76.22/11.44 (2) all_6_13 = all_4_17
% 76.22/11.44 (3) ~ (all_4_17 = e3)
% 76.22/11.44 (4) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 (5) ~ (all_4_17 = e2)
% 76.22/11.44
% 76.22/11.44 Begin of proof
% 76.22/11.44 |
% 76.22/11.44 | BETA: splitting (4) gives:
% 76.22/11.44 |
% 76.22/11.44 | Case 1:
% 76.22/11.44 | |
% 76.22/11.44 | | (6) all_6_13 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | COMBINE_EQS: (2), (6) imply:
% 76.22/11.44 | | (7) all_4_17 = e3
% 76.22/11.44 | |
% 76.22/11.44 | | REDUCE: (3), (7) imply:
% 76.22/11.44 | | (8) $false
% 76.22/11.44 | |
% 76.22/11.44 | | CLOSE: (8) is inconsistent.
% 76.22/11.44 | |
% 76.22/11.44 | Case 2:
% 76.22/11.44 | |
% 76.22/11.44 | | (9) all_6_13 = e2 | all_6_13 = e1
% 76.22/11.44 | |
% 76.22/11.44 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #233.
% 76.22/11.44 | |
% 76.22/11.44 | End of split
% 76.22/11.44 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #233 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_13 = e2 | all_6_13 = e1
% 76.22/11.45 (2) all_6_13 = all_4_17
% 76.22/11.45 (3) ~ (all_4_17 = e2)
% 76.22/11.45 (4) ~ (all_4_17 = e1)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | BETA: splitting (1) gives:
% 76.22/11.45 |
% 76.22/11.45 | Case 1:
% 76.22/11.45 | |
% 76.22/11.45 | | (5) all_6_13 = e2
% 76.22/11.45 | |
% 76.22/11.45 | | COMBINE_EQS: (2), (5) imply:
% 76.22/11.45 | | (6) all_4_17 = e2
% 76.22/11.45 | |
% 76.22/11.45 | | REDUCE: (3), (6) imply:
% 76.22/11.45 | | (7) $false
% 76.22/11.45 | |
% 76.22/11.45 | | CLOSE: (7) is inconsistent.
% 76.22/11.45 | |
% 76.22/11.45 | Case 2:
% 76.22/11.45 | |
% 76.22/11.45 | | (8) all_6_13 = e1
% 76.22/11.45 | |
% 76.22/11.45 | | COMBINE_EQS: (2), (8) imply:
% 76.22/11.45 | | (9) all_4_17 = e1
% 76.22/11.45 | |
% 76.22/11.45 | | REDUCE: (4), (9) imply:
% 76.22/11.45 | | (10) $false
% 76.22/11.45 | |
% 76.22/11.45 | | CLOSE: (10) is inconsistent.
% 76.22/11.45 | |
% 76.22/11.45 | End of split
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #234 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_8_14 = all_4_13
% 76.22/11.45 (2) all_8_14 = e0
% 76.22/11.45 (3) ~ (all_4_13 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_13 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_13 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #235 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_8_12 = e2
% 76.22/11.45 (2) all_8_12 = e0
% 76.22/11.45 (3) ~ (e2 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) e2 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) e2 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #236 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_8_8 = e4
% 76.22/11.45 (2) all_8_8 = e3
% 76.22/11.45 (3) ~ (e4 = e3)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) e4 = e3
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) e4 = e3
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #237 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_10 = all_4_2
% 76.22/11.45 (2) all_6_10 = e0
% 76.22/11.45 (3) ~ (all_4_2 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_2 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_2 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #238 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_8_3 = e4
% 76.22/11.45 (2) all_8_3 = e2
% 76.22/11.45 (3) ~ (e4 = e2)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) e4 = e2
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) e4 = e2
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #239 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_3 = all_4_15
% 76.22/11.45 (2) all_6_3 = e0
% 76.22/11.45 (3) ~ (all_4_15 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_15 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_15 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #240 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_11 = all_4_7
% 76.22/11.45 (2) all_6_11 = e4
% 76.22/11.45 (3) ~ (all_4_7 = e4)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_7 = e4
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_7 = e4
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #241 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_11 = all_4_7
% 76.22/11.45 (2) all_6_11 = e0
% 76.22/11.45 (3) ~ (all_4_7 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_7 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_7 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #242 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_1 = all_4_5
% 76.22/11.45 (2) all_6_1 = e0
% 76.22/11.45 (3) ~ (all_4_5 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_5 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_5 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #243 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_6_15 = all_4_3
% 76.22/11.45 (2) all_6_15 = e0
% 76.22/11.45 (3) ~ (all_4_3 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) all_4_3 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) all_4_3 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #244 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) ~ (e2 = e0)
% 76.22/11.45 (2) ~ (all_4_17 = e0)
% 76.22/11.45 (3) all_8_11 = all_4_17
% 76.22/11.45 (4) all_8_11 = e0 | all_8_18 = e0
% 76.22/11.45 (5) all_8_18 = e2
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | BETA: splitting (4) gives:
% 76.22/11.45 |
% 76.22/11.45 | Case 1:
% 76.22/11.45 | |
% 76.22/11.45 | | (6) all_8_11 = e0
% 76.22/11.45 | |
% 76.22/11.45 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #248.
% 76.22/11.45 | |
% 76.22/11.45 | Case 2:
% 76.22/11.45 | |
% 76.22/11.45 | | (7) all_8_18 = e0
% 76.22/11.45 | |
% 76.22/11.45 | | REF_CLOSE: (1), (5), (7) are inconsistent by sub-proof #245.
% 76.22/11.45 | |
% 76.22/11.45 | End of split
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #245 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_8_18 = e2
% 76.22/11.45 (2) all_8_18 = e0
% 76.22/11.45 (3) ~ (e2 = e0)
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.45 | (4) e2 = e0
% 76.22/11.45 |
% 76.22/11.45 | SIMP: (4) implies:
% 76.22/11.45 | (5) e2 = e0
% 76.22/11.45 |
% 76.22/11.45 | REDUCE: (3), (5) imply:
% 76.22/11.45 | (6) $false
% 76.22/11.45 |
% 76.22/11.45 | CLOSE: (6) is inconsistent.
% 76.22/11.45 |
% 76.22/11.45 End of proof
% 76.22/11.45
% 76.22/11.45 Sub-proof #246 shows that the following formulas are inconsistent:
% 76.22/11.45 ----------------------------------------------------------------
% 76.22/11.45 (1) all_10_112 = e0
% 76.22/11.45 (2) ~ (e3 = e0)
% 76.22/11.45 (3) all_10_111 = e0
% 76.22/11.45 (4) ~ (e1 = e0)
% 76.22/11.45 (5) ~ (e2 = e0)
% 76.22/11.45 (6) all_10_97 = e3
% 76.22/11.45 (7) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 76.22/11.45 (all_10_91 = e4)) | (all_10_110 = e1 & ~ (all_10_92 = e4)) |
% 76.22/11.45 (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 & ~
% 76.22/11.45 (all_10_94 = e3)) | (all_10_111 = e2 & ~ (all_10_95 = e3)) |
% 76.22/11.45 (all_10_111 = e1 & ~ (all_10_96 = e3)) | (all_10_111 = e0 & ~
% 76.22/11.45 (all_10_97 = e3)) | (all_10_112 = e4 & ~ (all_10_98 = e2)) |
% 76.22/11.45 (all_10_112 = e3 & ~ (all_10_99 = e2)) | (all_10_112 = e1 & ~
% 76.22/11.45 (all_10_100 = e2)) | (all_10_112 = e0 & ~ (all_10_101 = e2)) |
% 76.22/11.45 (all_10_113 = e4 & ~ (all_10_102 = e1)) | (all_10_113 = e3 & ~
% 76.22/11.45 (all_10_103 = e1)) | (all_10_113 = e2 & ~ (all_10_104 = e1)) |
% 76.22/11.45 (all_10_113 = e0 & ~ (all_10_105 = e1)) | (all_10_114 = e4 & ~
% 76.22/11.45 (all_10_106 = e0)) | (all_10_114 = e3 & ~ (all_10_107 = e0)) |
% 76.22/11.45 (all_10_114 = e2 & ~ (all_10_108 = e0)) | (all_10_114 = e1 & ~
% 76.22/11.45 (all_10_109 = e0))
% 76.22/11.45 (8) ~ (e4 = e0)
% 76.22/11.45 (9) all_10_113 = e0
% 76.22/11.45 (10) all_10_93 = e4
% 76.22/11.45 (11) all_10_101 = e2
% 76.22/11.45 (12) all_10_110 = e0
% 76.22/11.45 (13) all_10_114 = e0
% 76.22/11.45 (14) all_10_105 = e1
% 76.22/11.45
% 76.22/11.45 Begin of proof
% 76.22/11.45 |
% 76.22/11.45 | BETA: splitting (7) gives:
% 76.22/11.45 |
% 76.22/11.45 | Case 1:
% 76.22/11.45 | |
% 76.22/11.45 | | (15) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 76.22/11.45 | | (all_10_91 = e4)) | (all_10_110 = e1 & ~ (all_10_92 = e4)) |
% 76.22/11.45 | | (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 & ~
% 76.22/11.45 | | (all_10_94 = e3)) | (all_10_111 = e2 & ~ (all_10_95 = e3)) |
% 76.22/11.45 | | (all_10_111 = e1 & ~ (all_10_96 = e3)) | (all_10_111 = e0 & ~
% 76.22/11.45 | | (all_10_97 = e3)) | (all_10_112 = e4 & ~ (all_10_98 = e2)) |
% 76.22/11.45 | | (all_10_112 = e3 & ~ (all_10_99 = e2))
% 76.22/11.45 | |
% 76.22/11.45 | | BETA: splitting (15) gives:
% 76.22/11.45 | |
% 76.22/11.45 | | Case 1:
% 76.22/11.45 | | |
% 76.22/11.45 | | | (16) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 76.22/11.45 | | | (all_10_91 = e4)) | (all_10_110 = e1 & ~ (all_10_92 = e4)) |
% 76.22/11.45 | | | (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 & ~
% 76.22/11.45 | | | (all_10_94 = e3))
% 76.22/11.45 | | |
% 76.22/11.45 | | | BETA: splitting (16) gives:
% 76.22/11.45 | | |
% 76.22/11.45 | | | Case 1:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | (17) (all_10_110 = e3 & ~ (all_10_90 = e4)) | (all_10_110 = e2 & ~
% 76.22/11.45 | | | | (all_10_91 = e4))
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | BETA: splitting (17) gives:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | Case 1:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (18) all_10_110 = e3 & ~ (all_10_90 = e4)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (18) implies:
% 76.22/11.45 | | | | | (19) all_10_110 = e3
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | COMBINE_EQS: (12), (19) imply:
% 76.22/11.45 | | | | | (20) e3 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | SIMP: (20) implies:
% 76.22/11.45 | | | | | (21) e3 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (2), (21) imply:
% 76.22/11.45 | | | | | (22) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (22) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | Case 2:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (23) all_10_110 = e2 & ~ (all_10_91 = e4)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (23) implies:
% 76.22/11.45 | | | | | (24) all_10_110 = e2
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | COMBINE_EQS: (12), (24) imply:
% 76.22/11.45 | | | | | (25) e2 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | SIMP: (25) implies:
% 76.22/11.45 | | | | | (26) e2 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (5), (26) imply:
% 76.22/11.45 | | | | | (27) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (27) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | End of split
% 76.22/11.45 | | | |
% 76.22/11.45 | | | Case 2:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | (28) (all_10_110 = e1 & ~ (all_10_92 = e4)) | (all_10_110 = e0 & ~
% 76.22/11.45 | | | | (all_10_93 = e4)) | (all_10_111 = e4 & ~ (all_10_94 = e3))
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | BETA: splitting (28) gives:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | Case 1:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (29) all_10_110 = e1 & ~ (all_10_92 = e4)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (29) implies:
% 76.22/11.45 | | | | | (30) all_10_110 = e1
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | COMBINE_EQS: (12), (30) imply:
% 76.22/11.45 | | | | | (31) e1 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | SIMP: (31) implies:
% 76.22/11.45 | | | | | (32) e1 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (4), (32) imply:
% 76.22/11.45 | | | | | (33) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (33) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | Case 2:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (34) (all_10_110 = e0 & ~ (all_10_93 = e4)) | (all_10_111 = e4 &
% 76.22/11.45 | | | | | ~ (all_10_94 = e3))
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | BETA: splitting (34) gives:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | Case 1:
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | (35) all_10_110 = e0 & ~ (all_10_93 = e4)
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | ALPHA: (35) implies:
% 76.22/11.45 | | | | | | (36) ~ (all_10_93 = e4)
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | REDUCE: (10), (36) imply:
% 76.22/11.45 | | | | | | (37) $false
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | CLOSE: (37) is inconsistent.
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | Case 2:
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | (38) all_10_111 = e4 & ~ (all_10_94 = e3)
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | ALPHA: (38) implies:
% 76.22/11.45 | | | | | | (39) all_10_111 = e4
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | COMBINE_EQS: (3), (39) imply:
% 76.22/11.45 | | | | | | (40) e4 = e0
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | SIMP: (40) implies:
% 76.22/11.45 | | | | | | (41) e4 = e0
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | REDUCE: (8), (41) imply:
% 76.22/11.45 | | | | | | (42) $false
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | CLOSE: (42) is inconsistent.
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | End of split
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | End of split
% 76.22/11.45 | | | |
% 76.22/11.45 | | | End of split
% 76.22/11.45 | | |
% 76.22/11.45 | | Case 2:
% 76.22/11.45 | | |
% 76.22/11.45 | | | (43) (all_10_111 = e2 & ~ (all_10_95 = e3)) | (all_10_111 = e1 & ~
% 76.22/11.45 | | | (all_10_96 = e3)) | (all_10_111 = e0 & ~ (all_10_97 = e3)) |
% 76.22/11.45 | | | (all_10_112 = e4 & ~ (all_10_98 = e2)) | (all_10_112 = e3 & ~
% 76.22/11.45 | | | (all_10_99 = e2))
% 76.22/11.45 | | |
% 76.22/11.45 | | | BETA: splitting (43) gives:
% 76.22/11.45 | | |
% 76.22/11.45 | | | Case 1:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | (44) (all_10_111 = e2 & ~ (all_10_95 = e3)) | (all_10_111 = e1 & ~
% 76.22/11.45 | | | | (all_10_96 = e3))
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | BETA: splitting (44) gives:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | Case 1:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (45) all_10_111 = e2 & ~ (all_10_95 = e3)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (45) implies:
% 76.22/11.45 | | | | | (46) all_10_111 = e2
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | COMBINE_EQS: (3), (46) imply:
% 76.22/11.45 | | | | | (47) e2 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | SIMP: (47) implies:
% 76.22/11.45 | | | | | (48) e2 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (5), (48) imply:
% 76.22/11.45 | | | | | (49) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (49) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | Case 2:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (50) all_10_111 = e1 & ~ (all_10_96 = e3)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (50) implies:
% 76.22/11.45 | | | | | (51) all_10_111 = e1
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | COMBINE_EQS: (3), (51) imply:
% 76.22/11.45 | | | | | (52) e1 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | SIMP: (52) implies:
% 76.22/11.45 | | | | | (53) e1 = e0
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (4), (53) imply:
% 76.22/11.45 | | | | | (54) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (54) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | End of split
% 76.22/11.45 | | | |
% 76.22/11.45 | | | Case 2:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | (55) (all_10_111 = e0 & ~ (all_10_97 = e3)) | (all_10_112 = e4 & ~
% 76.22/11.45 | | | | (all_10_98 = e2)) | (all_10_112 = e3 & ~ (all_10_99 = e2))
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | BETA: splitting (55) gives:
% 76.22/11.45 | | | |
% 76.22/11.45 | | | | Case 1:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (56) all_10_111 = e0 & ~ (all_10_97 = e3)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | ALPHA: (56) implies:
% 76.22/11.45 | | | | | (57) ~ (all_10_97 = e3)
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | REDUCE: (6), (57) imply:
% 76.22/11.45 | | | | | (58) $false
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | CLOSE: (58) is inconsistent.
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | Case 2:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | (59) (all_10_112 = e4 & ~ (all_10_98 = e2)) | (all_10_112 = e3 &
% 76.22/11.45 | | | | | ~ (all_10_99 = e2))
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | BETA: splitting (59) gives:
% 76.22/11.45 | | | | |
% 76.22/11.45 | | | | | Case 1:
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | (60) all_10_112 = e4 & ~ (all_10_98 = e2)
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | ALPHA: (60) implies:
% 76.22/11.45 | | | | | | (61) all_10_112 = e4
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | COMBINE_EQS: (1), (61) imply:
% 76.22/11.45 | | | | | | (62) e4 = e0
% 76.22/11.45 | | | | | |
% 76.22/11.45 | | | | | | SIMP: (62) implies:
% 76.22/11.45 | | | | | | (63) e4 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (8), (63) imply:
% 76.22/11.46 | | | | | | (64) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (64) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | Case 2:
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | (65) all_10_112 = e3 & ~ (all_10_99 = e2)
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | ALPHA: (65) implies:
% 76.22/11.46 | | | | | | (66) all_10_112 = e3
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | COMBINE_EQS: (1), (66) imply:
% 76.22/11.46 | | | | | | (67) e3 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | SIMP: (67) implies:
% 76.22/11.46 | | | | | | (68) e3 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (2), (68) imply:
% 76.22/11.46 | | | | | | (69) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (69) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | End of split
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | End of split
% 76.22/11.46 | | | |
% 76.22/11.46 | | | End of split
% 76.22/11.46 | | |
% 76.22/11.46 | | End of split
% 76.22/11.46 | |
% 76.22/11.46 | Case 2:
% 76.22/11.46 | |
% 76.22/11.46 | | (70) (all_10_112 = e1 & ~ (all_10_100 = e2)) | (all_10_112 = e0 & ~
% 76.22/11.46 | | (all_10_101 = e2)) | (all_10_113 = e4 & ~ (all_10_102 = e1)) |
% 76.22/11.46 | | (all_10_113 = e3 & ~ (all_10_103 = e1)) | (all_10_113 = e2 & ~
% 76.22/11.46 | | (all_10_104 = e1)) | (all_10_113 = e0 & ~ (all_10_105 = e1)) |
% 76.22/11.46 | | (all_10_114 = e4 & ~ (all_10_106 = e0)) | (all_10_114 = e3 & ~
% 76.22/11.46 | | (all_10_107 = e0)) | (all_10_114 = e2 & ~ (all_10_108 = e0)) |
% 76.22/11.46 | | (all_10_114 = e1 & ~ (all_10_109 = e0))
% 76.22/11.46 | |
% 76.22/11.46 | | BETA: splitting (70) gives:
% 76.22/11.46 | |
% 76.22/11.46 | | Case 1:
% 76.22/11.46 | | |
% 76.22/11.46 | | | (71) (all_10_112 = e1 & ~ (all_10_100 = e2)) | (all_10_112 = e0 & ~
% 76.22/11.46 | | | (all_10_101 = e2)) | (all_10_113 = e4 & ~ (all_10_102 = e1)) |
% 76.22/11.46 | | | (all_10_113 = e3 & ~ (all_10_103 = e1)) | (all_10_113 = e2 & ~
% 76.22/11.46 | | | (all_10_104 = e1))
% 76.22/11.46 | | |
% 76.22/11.46 | | | BETA: splitting (71) gives:
% 76.22/11.46 | | |
% 76.22/11.46 | | | Case 1:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | (72) (all_10_112 = e1 & ~ (all_10_100 = e2)) | (all_10_112 = e0 & ~
% 76.22/11.46 | | | | (all_10_101 = e2))
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | BETA: splitting (72) gives:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | Case 1:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (73) all_10_112 = e1 & ~ (all_10_100 = e2)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (73) implies:
% 76.22/11.46 | | | | | (74) all_10_112 = e1
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | COMBINE_EQS: (1), (74) imply:
% 76.22/11.46 | | | | | (75) e1 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | SIMP: (75) implies:
% 76.22/11.46 | | | | | (76) e1 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (4), (76) imply:
% 76.22/11.46 | | | | | (77) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (77) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | Case 2:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (78) all_10_112 = e0 & ~ (all_10_101 = e2)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (78) implies:
% 76.22/11.46 | | | | | (79) ~ (all_10_101 = e2)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (11), (79) imply:
% 76.22/11.46 | | | | | (80) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (80) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | End of split
% 76.22/11.46 | | | |
% 76.22/11.46 | | | Case 2:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | (81) (all_10_113 = e4 & ~ (all_10_102 = e1)) | (all_10_113 = e3 & ~
% 76.22/11.46 | | | | (all_10_103 = e1)) | (all_10_113 = e2 & ~ (all_10_104 = e1))
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | BETA: splitting (81) gives:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | Case 1:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (82) all_10_113 = e4 & ~ (all_10_102 = e1)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (82) implies:
% 76.22/11.46 | | | | | (83) all_10_113 = e4
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | COMBINE_EQS: (9), (83) imply:
% 76.22/11.46 | | | | | (84) e4 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | SIMP: (84) implies:
% 76.22/11.46 | | | | | (85) e4 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (8), (85) imply:
% 76.22/11.46 | | | | | (86) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (86) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | Case 2:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (87) (all_10_113 = e3 & ~ (all_10_103 = e1)) | (all_10_113 = e2 &
% 76.22/11.46 | | | | | ~ (all_10_104 = e1))
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | BETA: splitting (87) gives:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | Case 1:
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | (88) all_10_113 = e3 & ~ (all_10_103 = e1)
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | ALPHA: (88) implies:
% 76.22/11.46 | | | | | | (89) all_10_113 = e3
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | COMBINE_EQS: (9), (89) imply:
% 76.22/11.46 | | | | | | (90) e3 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | SIMP: (90) implies:
% 76.22/11.46 | | | | | | (91) e3 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (2), (91) imply:
% 76.22/11.46 | | | | | | (92) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (92) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | Case 2:
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | (93) all_10_113 = e2 & ~ (all_10_104 = e1)
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | ALPHA: (93) implies:
% 76.22/11.46 | | | | | | (94) all_10_113 = e2
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | COMBINE_EQS: (9), (94) imply:
% 76.22/11.46 | | | | | | (95) e2 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | SIMP: (95) implies:
% 76.22/11.46 | | | | | | (96) e2 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (5), (96) imply:
% 76.22/11.46 | | | | | | (97) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (97) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | End of split
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | End of split
% 76.22/11.46 | | | |
% 76.22/11.46 | | | End of split
% 76.22/11.46 | | |
% 76.22/11.46 | | Case 2:
% 76.22/11.46 | | |
% 76.22/11.46 | | | (98) (all_10_113 = e0 & ~ (all_10_105 = e1)) | (all_10_114 = e4 & ~
% 76.22/11.46 | | | (all_10_106 = e0)) | (all_10_114 = e3 & ~ (all_10_107 = e0)) |
% 76.22/11.46 | | | (all_10_114 = e2 & ~ (all_10_108 = e0)) | (all_10_114 = e1 & ~
% 76.22/11.46 | | | (all_10_109 = e0))
% 76.22/11.46 | | |
% 76.22/11.46 | | | BETA: splitting (98) gives:
% 76.22/11.46 | | |
% 76.22/11.46 | | | Case 1:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | (99) (all_10_113 = e0 & ~ (all_10_105 = e1)) | (all_10_114 = e4 & ~
% 76.22/11.46 | | | | (all_10_106 = e0))
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | BETA: splitting (99) gives:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | Case 1:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (100) all_10_113 = e0 & ~ (all_10_105 = e1)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (100) implies:
% 76.22/11.46 | | | | | (101) ~ (all_10_105 = e1)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (14), (101) imply:
% 76.22/11.46 | | | | | (102) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (102) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | Case 2:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (103) all_10_114 = e4 & ~ (all_10_106 = e0)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (103) implies:
% 76.22/11.46 | | | | | (104) all_10_114 = e4
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | COMBINE_EQS: (13), (104) imply:
% 76.22/11.46 | | | | | (105) e4 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (8), (105) imply:
% 76.22/11.46 | | | | | (106) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (106) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | End of split
% 76.22/11.46 | | | |
% 76.22/11.46 | | | Case 2:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | (107) (all_10_114 = e3 & ~ (all_10_107 = e0)) | (all_10_114 = e2 &
% 76.22/11.46 | | | | ~ (all_10_108 = e0)) | (all_10_114 = e1 & ~ (all_10_109 =
% 76.22/11.46 | | | | e0))
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | BETA: splitting (107) gives:
% 76.22/11.46 | | | |
% 76.22/11.46 | | | | Case 1:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (108) all_10_114 = e3 & ~ (all_10_107 = e0)
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | ALPHA: (108) implies:
% 76.22/11.46 | | | | | (109) all_10_114 = e3
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | COMBINE_EQS: (13), (109) imply:
% 76.22/11.46 | | | | | (110) e3 = e0
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | REDUCE: (2), (110) imply:
% 76.22/11.46 | | | | | (111) $false
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | CLOSE: (111) is inconsistent.
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | Case 2:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | (112) (all_10_114 = e2 & ~ (all_10_108 = e0)) | (all_10_114 = e1 &
% 76.22/11.46 | | | | | ~ (all_10_109 = e0))
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | BETA: splitting (112) gives:
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | | Case 1:
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | (113) all_10_114 = e2 & ~ (all_10_108 = e0)
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | ALPHA: (113) implies:
% 76.22/11.46 | | | | | | (114) all_10_114 = e2
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | COMBINE_EQS: (13), (114) imply:
% 76.22/11.46 | | | | | | (115) e2 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (5), (115) imply:
% 76.22/11.46 | | | | | | (116) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (116) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | Case 2:
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | (117) all_10_114 = e1 & ~ (all_10_109 = e0)
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | ALPHA: (117) implies:
% 76.22/11.46 | | | | | | (118) all_10_114 = e1
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | COMBINE_EQS: (13), (118) imply:
% 76.22/11.46 | | | | | | (119) e1 = e0
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | REDUCE: (4), (119) imply:
% 76.22/11.46 | | | | | | (120) $false
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | | CLOSE: (120) is inconsistent.
% 76.22/11.46 | | | | | |
% 76.22/11.46 | | | | | End of split
% 76.22/11.46 | | | | |
% 76.22/11.46 | | | | End of split
% 76.22/11.46 | | | |
% 76.22/11.46 | | | End of split
% 76.22/11.46 | | |
% 76.22/11.46 | | End of split
% 76.22/11.46 | |
% 76.22/11.46 | End of split
% 76.22/11.46 |
% 76.22/11.46 End of proof
% 76.22/11.46
% 76.22/11.46 Sub-proof #247 shows that the following formulas are inconsistent:
% 76.22/11.46 ----------------------------------------------------------------
% 76.22/11.46 (1) all_8_7 = all_4_7
% 76.22/11.46 (2) all_8_7 = e0
% 76.22/11.46 (3) ~ (all_4_7 = e0)
% 76.22/11.46
% 76.22/11.46 Begin of proof
% 76.22/11.46 |
% 76.22/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.46 | (4) all_4_7 = e0
% 76.22/11.46 |
% 76.22/11.46 | SIMP: (4) implies:
% 76.22/11.46 | (5) all_4_7 = e0
% 76.22/11.46 |
% 76.22/11.46 | REDUCE: (3), (5) imply:
% 76.22/11.46 | (6) $false
% 76.22/11.46 |
% 76.22/11.46 | CLOSE: (6) is inconsistent.
% 76.22/11.46 |
% 76.22/11.46 End of proof
% 76.22/11.46
% 76.22/11.46 Sub-proof #248 shows that the following formulas are inconsistent:
% 76.22/11.46 ----------------------------------------------------------------
% 76.22/11.46 (1) all_8_11 = all_4_17
% 76.22/11.46 (2) all_8_11 = e0
% 76.22/11.46 (3) ~ (all_4_17 = e0)
% 76.22/11.46
% 76.22/11.46 Begin of proof
% 76.22/11.46 |
% 76.22/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.22/11.46 | (4) all_4_17 = e0
% 76.22/11.46 |
% 76.22/11.46 | SIMP: (4) implies:
% 76.22/11.46 | (5) all_4_17 = e0
% 76.22/11.46 |
% 76.22/11.46 | REDUCE: (3), (5) imply:
% 76.22/11.46 | (6) $false
% 76.49/11.46 |
% 76.49/11.46 | CLOSE: (6) is inconsistent.
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #249 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_8_10 = all_4_16
% 76.49/11.46 (2) all_8_10 = e0
% 76.49/11.46 (3) ~ (all_4_16 = e0)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.49/11.46 | (4) all_4_16 = e0
% 76.49/11.46 |
% 76.49/11.46 | SIMP: (4) implies:
% 76.49/11.46 | (5) all_4_16 = e0
% 76.49/11.46 |
% 76.49/11.46 | REDUCE: (3), (5) imply:
% 76.49/11.46 | (6) $false
% 76.49/11.46 |
% 76.49/11.46 | CLOSE: (6) is inconsistent.
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #250 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_8_9 = all_4_15
% 76.49/11.46 (2) all_8_9 = e0
% 76.49/11.46 (3) ~ (all_4_15 = e0)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.49/11.46 | (4) all_4_15 = e0
% 76.49/11.46 |
% 76.49/11.46 | SIMP: (4) implies:
% 76.49/11.46 | (5) all_4_15 = e0
% 76.49/11.46 |
% 76.49/11.46 | REDUCE: (3), (5) imply:
% 76.49/11.46 | (6) $false
% 76.49/11.46 |
% 76.49/11.46 | CLOSE: (6) is inconsistent.
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #251 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_8_6 = all_4_2
% 76.49/11.46 (2) all_8_6 = e0
% 76.49/11.46 (3) ~ (all_4_2 = e0)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.49/11.46 | (4) all_4_2 = e0
% 76.49/11.46 |
% 76.49/11.46 | SIMP: (4) implies:
% 76.49/11.46 | (5) all_4_2 = e0
% 76.49/11.46 |
% 76.49/11.46 | REDUCE: (3), (5) imply:
% 76.49/11.46 | (6) $false
% 76.49/11.46 |
% 76.49/11.46 | CLOSE: (6) is inconsistent.
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #252 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1
% 76.49/11.46 (2) ~ (all_4_12 = e1)
% 76.49/11.46 (3) all_8_22 = e2
% 76.49/11.46 (4) ~ (all_4_13 = e1)
% 76.49/11.46 (5) all_8_8 = all_4_12
% 76.49/11.46 (6) all_8_14 = all_4_13
% 76.49/11.46 (7) ~ (e2 = e1)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | BETA: splitting (1) gives:
% 76.49/11.46 |
% 76.49/11.46 | Case 1:
% 76.49/11.46 | |
% 76.49/11.46 | | (8) all_8_8 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | COMBINE_EQS: (5), (8) imply:
% 76.49/11.46 | | (9) all_4_12 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | SIMP: (9) implies:
% 76.49/11.46 | | (10) all_4_12 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | REDUCE: (2), (10) imply:
% 76.49/11.46 | | (11) $false
% 76.49/11.46 | |
% 76.49/11.46 | | CLOSE: (11) is inconsistent.
% 76.49/11.46 | |
% 76.49/11.46 | Case 2:
% 76.49/11.46 | |
% 76.49/11.46 | | (12) all_8_14 = e1 | all_8_22 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | BETA: splitting (12) gives:
% 76.49/11.46 | |
% 76.49/11.46 | | Case 1:
% 76.49/11.46 | | |
% 76.49/11.46 | | | (13) all_8_14 = e1
% 76.49/11.46 | | |
% 76.49/11.46 | | | COMBINE_EQS: (6), (13) imply:
% 76.49/11.46 | | | (14) all_4_13 = e1
% 76.49/11.46 | | |
% 76.49/11.46 | | | SIMP: (14) implies:
% 76.49/11.46 | | | (15) all_4_13 = e1
% 76.49/11.46 | | |
% 76.49/11.46 | | | REDUCE: (4), (15) imply:
% 76.49/11.46 | | | (16) $false
% 76.49/11.46 | | |
% 76.49/11.46 | | | CLOSE: (16) is inconsistent.
% 76.49/11.46 | | |
% 76.49/11.46 | | Case 2:
% 76.49/11.46 | | |
% 76.49/11.46 | | | (17) all_8_22 = e1
% 76.49/11.46 | | |
% 76.49/11.46 | | | COMBINE_EQS: (3), (17) imply:
% 76.49/11.46 | | | (18) e2 = e1
% 76.49/11.46 | | |
% 76.49/11.46 | | | REDUCE: (7), (18) imply:
% 76.49/11.46 | | | (19) $false
% 76.49/11.46 | | |
% 76.49/11.46 | | | CLOSE: (19) is inconsistent.
% 76.49/11.46 | | |
% 76.49/11.46 | | End of split
% 76.49/11.46 | |
% 76.49/11.46 | End of split
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #253 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) ~ (all_4_7 = e3)
% 76.49/11.46 (2) all_6_11 = all_4_7
% 76.49/11.46 (3) ~ (all_4_7 = e2)
% 76.49/11.46 (4) ~ (all_4_7 = e1)
% 76.49/11.46 (5) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | BETA: splitting (5) gives:
% 76.49/11.46 |
% 76.49/11.46 | Case 1:
% 76.49/11.46 | |
% 76.49/11.46 | | (6) all_6_11 = e3
% 76.49/11.46 | |
% 76.49/11.46 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #256.
% 76.49/11.46 | |
% 76.49/11.46 | Case 2:
% 76.49/11.46 | |
% 76.49/11.46 | | (7) all_6_11 = e2 | all_6_11 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #254.
% 76.49/11.46 | |
% 76.49/11.46 | End of split
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #254 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_6_11 = e2 | all_6_11 = e1
% 76.49/11.46 (2) all_6_11 = all_4_7
% 76.49/11.46 (3) ~ (all_4_7 = e2)
% 76.49/11.46 (4) ~ (all_4_7 = e1)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | BETA: splitting (1) gives:
% 76.49/11.46 |
% 76.49/11.46 | Case 1:
% 76.49/11.46 | |
% 76.49/11.46 | | (5) all_6_11 = e2
% 76.49/11.46 | |
% 76.49/11.46 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #255.
% 76.49/11.46 | |
% 76.49/11.46 | Case 2:
% 76.49/11.46 | |
% 76.49/11.46 | | (6) all_6_11 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | COMBINE_EQS: (2), (6) imply:
% 76.49/11.46 | | (7) all_4_7 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | SIMP: (7) implies:
% 76.49/11.46 | | (8) all_4_7 = e1
% 76.49/11.46 | |
% 76.49/11.46 | | REDUCE: (4), (8) imply:
% 76.49/11.46 | | (9) $false
% 76.49/11.46 | |
% 76.49/11.46 | | CLOSE: (9) is inconsistent.
% 76.49/11.46 | |
% 76.49/11.46 | End of split
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #255 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_6_11 = all_4_7
% 76.49/11.46 (2) all_6_11 = e2
% 76.49/11.46 (3) ~ (all_4_7 = e2)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.49/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.49/11.46 | (4) all_4_7 = e2
% 76.49/11.46 |
% 76.49/11.46 | SIMP: (4) implies:
% 76.49/11.46 | (5) all_4_7 = e2
% 76.49/11.46 |
% 76.49/11.46 | REDUCE: (3), (5) imply:
% 76.49/11.46 | (6) $false
% 76.49/11.46 |
% 76.49/11.46 | CLOSE: (6) is inconsistent.
% 76.49/11.46 |
% 76.49/11.46 End of proof
% 76.49/11.46
% 76.49/11.46 Sub-proof #256 shows that the following formulas are inconsistent:
% 76.49/11.46 ----------------------------------------------------------------
% 76.49/11.46 (1) all_6_11 = all_4_7
% 76.49/11.46 (2) all_6_11 = e3
% 76.49/11.46 (3) ~ (all_4_7 = e3)
% 76.49/11.46
% 76.49/11.46 Begin of proof
% 76.49/11.46 |
% 76.51/11.46 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.46 | (4) all_4_7 = e3
% 76.51/11.46 |
% 76.51/11.46 | SIMP: (4) implies:
% 76.51/11.46 | (5) all_4_7 = e3
% 76.51/11.46 |
% 76.51/11.46 | REDUCE: (3), (5) imply:
% 76.51/11.46 | (6) $false
% 76.51/11.46 |
% 76.51/11.46 | CLOSE: (6) is inconsistent.
% 76.51/11.46 |
% 76.51/11.46 End of proof
% 76.51/11.46
% 76.51/11.46 Sub-proof #257 shows that the following formulas are inconsistent:
% 76.51/11.46 ----------------------------------------------------------------
% 76.51/11.46 (1) ~ (all_4_10 = e2)
% 76.51/11.46 (2) all_6_2 = all_4_10
% 76.51/11.46 (3) ~ (all_4_12 = e1)
% 76.51/11.46 (4) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 76.51/11.46 = e0
% 76.51/11.46 (5) ~ (all_4_12 = e0)
% 76.51/11.46 (6) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1
% 76.51/11.46 (7) ~ (all_4_12 = e4)
% 76.51/11.46 (8) ~ (all_4_10 = e1)
% 76.51/11.46 (9) all_6_12 = all_4_12
% 76.51/11.46 (10) ~ (all_4_12 = e2)
% 76.51/11.47 (11) ~ (all_4_10 = all_4_12)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (6) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (12) all_6_2 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (12) imply:
% 76.51/11.47 | | (13) all_4_10 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (11), (13) imply:
% 76.51/11.47 | | (14) ~ (all_4_12 = e3)
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (14) implies:
% 76.51/11.47 | | (15) ~ (all_4_12 = e3)
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (3), (4), (5), (7), (9), (10), (15) are inconsistent by sub-proof
% 76.51/11.47 | | #269.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (16) all_6_2 = e2 | all_6_2 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (1), (2), (8), (16) are inconsistent by sub-proof #258.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #258 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_6_2 = e2 | all_6_2 = e1
% 76.51/11.47 (2) all_6_2 = all_4_10
% 76.51/11.47 (3) ~ (all_4_10 = e2)
% 76.51/11.47 (4) ~ (all_4_10 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (1) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (5) all_6_2 = e2
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (5) imply:
% 76.51/11.47 | | (6) all_4_10 = e2
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (6) implies:
% 76.51/11.47 | | (7) all_4_10 = e2
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (3), (7) imply:
% 76.51/11.47 | | (8) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (8) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (9) all_6_2 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (9) imply:
% 76.51/11.47 | | (10) all_4_10 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (10) implies:
% 76.51/11.47 | | (11) all_4_10 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (4), (11) imply:
% 76.51/11.47 | | (12) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (12) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #259 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_8_2 = all_4_1
% 76.51/11.47 (2) all_8_12 = all_4_3
% 76.51/11.47 (3) all_8_1 = all_4_5
% 76.51/11.47 (4) ~ (e3 = e1)
% 76.51/11.47 (5) ~ (all_4_2 = all_4_7)
% 76.51/11.47 (6) all_8_20 = e4
% 76.51/11.47 (7) all_8_3 = all_4_6
% 76.51/11.47 (8) all_8_21 = e3
% 76.51/11.47 (9) all_8_13 = all_4_8
% 76.51/11.47 (10) ~ (all_4_3 = e1)
% 76.51/11.47 (11) all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 76.51/11.47 (12) ~ (e4 = e1)
% 76.51/11.47 (13) all_8_7 = all_4_7
% 76.51/11.47 (14) ~ (all_4_6 = e1)
% 76.51/11.47 (15) ~ (all_4_8 = e1)
% 76.51/11.47 (16) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 76.51/11.47 e1
% 76.51/11.47 (17) ~ (all_4_5 = e1)
% 76.51/11.47 (18) all_8_6 = all_4_2
% 76.51/11.47 (19) ~ (all_4_1 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (11) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (20) all_8_2 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (1), (19), (20) are inconsistent by sub-proof #264.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (21) all_8_6 = e1 | all_8_12 = e1 | all_8_20 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | BETA: splitting (21) gives:
% 76.51/11.47 | |
% 76.51/11.47 | | Case 1:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (22) all_8_6 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | COMBINE_EQS: (18), (22) imply:
% 76.51/11.47 | | | (23) all_4_2 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | SIMP: (23) implies:
% 76.51/11.47 | | | (24) all_4_2 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | REDUCE: (5), (24) imply:
% 76.51/11.47 | | | (25) ~ (all_4_7 = e1)
% 76.51/11.47 | | |
% 76.51/11.47 | | | SIMP: (25) implies:
% 76.51/11.47 | | | (26) ~ (all_4_7 = e1)
% 76.51/11.47 | | |
% 76.51/11.47 | | | REF_CLOSE: (3), (4), (7), (8), (9), (13), (14), (15), (16), (17), (26) are
% 76.51/11.47 | | | inconsistent by sub-proof #261.
% 76.51/11.47 | | |
% 76.51/11.47 | | Case 2:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (27) all_8_12 = e1 | all_8_20 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | REF_CLOSE: (2), (6), (10), (12), (27) are inconsistent by sub-proof #260.
% 76.51/11.47 | | |
% 76.51/11.47 | | End of split
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #260 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_8_12 = all_4_3
% 76.51/11.47 (2) all_8_20 = e4
% 76.51/11.47 (3) ~ (all_4_3 = e1)
% 76.51/11.47 (4) ~ (e4 = e1)
% 76.51/11.47 (5) all_8_12 = e1 | all_8_20 = e1
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (5) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (6) all_8_12 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (1), (6) imply:
% 76.51/11.47 | | (7) all_4_3 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (7) implies:
% 76.51/11.47 | | (8) all_4_3 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (3), (8) imply:
% 76.51/11.47 | | (9) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (9) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (10) all_8_20 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (10) imply:
% 76.51/11.47 | | (11) e4 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (11) implies:
% 76.51/11.47 | | (12) e4 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (4), (12) imply:
% 76.51/11.47 | | (13) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (13) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #261 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_8_1 = all_4_5
% 76.51/11.47 (2) ~ (e3 = e1)
% 76.51/11.47 (3) all_8_3 = all_4_6
% 76.51/11.47 (4) all_8_21 = e3
% 76.51/11.47 (5) all_8_13 = all_4_8
% 76.51/11.47 (6) all_8_7 = all_4_7
% 76.51/11.47 (7) ~ (all_4_6 = e1)
% 76.51/11.47 (8) ~ (all_4_7 = e1)
% 76.51/11.47 (9) ~ (all_4_8 = e1)
% 76.51/11.47 (10) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 =
% 76.51/11.47 e1
% 76.51/11.47 (11) ~ (all_4_5 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (10) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (12) all_8_1 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (1), (11), (12) are inconsistent by sub-proof #263.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (13) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (13) are inconsistent by
% 76.51/11.47 | | sub-proof #262.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #262 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) ~ (e3 = e1)
% 76.51/11.47 (2) all_8_3 = all_4_6
% 76.51/11.47 (3) all_8_21 = e3
% 76.51/11.47 (4) all_8_13 = all_4_8
% 76.51/11.47 (5) all_8_7 = all_4_7
% 76.51/11.47 (6) ~ (all_4_6 = e1)
% 76.51/11.47 (7) ~ (all_4_7 = e1)
% 76.51/11.47 (8) ~ (all_4_8 = e1)
% 76.51/11.47 (9) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (9) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (10) all_8_3 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (10) imply:
% 76.51/11.47 | | (11) all_4_6 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (11) implies:
% 76.51/11.47 | | (12) all_4_6 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (6), (12) imply:
% 76.51/11.47 | | (13) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (13) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (14) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | BETA: splitting (14) gives:
% 76.51/11.47 | |
% 76.51/11.47 | | Case 1:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (15) all_8_7 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | COMBINE_EQS: (5), (15) imply:
% 76.51/11.47 | | | (16) all_4_7 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | SIMP: (16) implies:
% 76.51/11.47 | | | (17) all_4_7 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | REDUCE: (7), (17) imply:
% 76.51/11.47 | | | (18) $false
% 76.51/11.47 | | |
% 76.51/11.47 | | | CLOSE: (18) is inconsistent.
% 76.51/11.47 | | |
% 76.51/11.47 | | Case 2:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (19) all_8_13 = e1 | all_8_21 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | BETA: splitting (19) gives:
% 76.51/11.47 | | |
% 76.51/11.47 | | | Case 1:
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | (20) all_8_13 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | COMBINE_EQS: (4), (20) imply:
% 76.51/11.47 | | | | (21) all_4_8 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | SIMP: (21) implies:
% 76.51/11.47 | | | | (22) all_4_8 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | REDUCE: (8), (22) imply:
% 76.51/11.47 | | | | (23) $false
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | CLOSE: (23) is inconsistent.
% 76.51/11.47 | | | |
% 76.51/11.47 | | | Case 2:
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | (24) all_8_21 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | COMBINE_EQS: (3), (24) imply:
% 76.51/11.47 | | | | (25) e3 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | SIMP: (25) implies:
% 76.51/11.47 | | | | (26) e3 = e1
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | REDUCE: (1), (26) imply:
% 76.51/11.47 | | | | (27) $false
% 76.51/11.47 | | | |
% 76.51/11.47 | | | | CLOSE: (27) is inconsistent.
% 76.51/11.47 | | | |
% 76.51/11.47 | | | End of split
% 76.51/11.47 | | |
% 76.51/11.47 | | End of split
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #263 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_8_1 = all_4_5
% 76.51/11.47 (2) all_8_1 = e1
% 76.51/11.47 (3) ~ (all_4_5 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.47 | (4) all_4_5 = e1
% 76.51/11.47 |
% 76.51/11.47 | SIMP: (4) implies:
% 76.51/11.47 | (5) all_4_5 = e1
% 76.51/11.47 |
% 76.51/11.47 | REDUCE: (3), (5) imply:
% 76.51/11.47 | (6) $false
% 76.51/11.47 |
% 76.51/11.47 | CLOSE: (6) is inconsistent.
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #264 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_8_2 = all_4_1
% 76.51/11.47 (2) all_8_2 = e1
% 76.51/11.47 (3) ~ (all_4_1 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.47 | (4) all_4_1 = e1
% 76.51/11.47 |
% 76.51/11.47 | SIMP: (4) implies:
% 76.51/11.47 | (5) all_4_1 = e1
% 76.51/11.47 |
% 76.51/11.47 | REDUCE: (3), (5) imply:
% 76.51/11.47 | (6) $false
% 76.51/11.47 |
% 76.51/11.47 | CLOSE: (6) is inconsistent.
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #265 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) ~ (all_4_11 = e1)
% 76.51/11.47 (2) ~ (all_4_11 = e3)
% 76.51/11.47 (3) all_6_7 = all_4_11
% 76.51/11.47 (4) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1
% 76.51/11.47 (5) ~ (all_4_11 = e2)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (4) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (6) all_6_7 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #267.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (7) all_6_7 = e2 | all_6_7 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | BETA: splitting (7) gives:
% 76.51/11.47 | |
% 76.51/11.47 | | Case 1:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (8) all_6_7 = e2
% 76.51/11.47 | | |
% 76.51/11.47 | | | REF_CLOSE: (3), (5), (8) are inconsistent by sub-proof #266.
% 76.51/11.47 | | |
% 76.51/11.47 | | Case 2:
% 76.51/11.47 | | |
% 76.51/11.47 | | | (9) all_6_7 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | COMBINE_EQS: (3), (9) imply:
% 76.51/11.47 | | | (10) all_4_11 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | SIMP: (10) implies:
% 76.51/11.47 | | | (11) all_4_11 = e1
% 76.51/11.47 | | |
% 76.51/11.47 | | | REDUCE: (1), (11) imply:
% 76.51/11.47 | | | (12) $false
% 76.51/11.47 | | |
% 76.51/11.47 | | | CLOSE: (12) is inconsistent.
% 76.51/11.47 | | |
% 76.51/11.47 | | End of split
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #266 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_6_7 = all_4_11
% 76.51/11.47 (2) all_6_7 = e2
% 76.51/11.47 (3) ~ (all_4_11 = e2)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.47 | (4) all_4_11 = e2
% 76.51/11.47 |
% 76.51/11.47 | SIMP: (4) implies:
% 76.51/11.47 | (5) all_4_11 = e2
% 76.51/11.47 |
% 76.51/11.47 | REDUCE: (3), (5) imply:
% 76.51/11.47 | (6) $false
% 76.51/11.47 |
% 76.51/11.47 | CLOSE: (6) is inconsistent.
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #267 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_6_7 = all_4_11
% 76.51/11.47 (2) all_6_7 = e3
% 76.51/11.47 (3) ~ (all_4_11 = e3)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.47 | (4) all_4_11 = e3
% 76.51/11.47 |
% 76.51/11.47 | SIMP: (4) implies:
% 76.51/11.47 | (5) all_4_11 = e3
% 76.51/11.47 |
% 76.51/11.47 | REDUCE: (3), (5) imply:
% 76.51/11.47 | (6) $false
% 76.51/11.47 |
% 76.51/11.47 | CLOSE: (6) is inconsistent.
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #268 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) all_6_10 = e2 | all_6_10 = e1
% 76.51/11.47 (2) all_6_10 = all_4_2
% 76.51/11.47 (3) ~ (all_4_2 = e2)
% 76.51/11.47 (4) ~ (all_4_2 = e1)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (1) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (5) all_6_10 = e2
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (5) imply:
% 76.51/11.47 | | (6) all_4_2 = e2
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (3), (6) imply:
% 76.51/11.47 | | (7) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (7) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (8) all_6_10 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (2), (8) imply:
% 76.51/11.47 | | (9) all_4_2 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (4), (9) imply:
% 76.51/11.47 | | (10) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (10) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #269 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) ~ (all_4_12 = e3)
% 76.51/11.47 (2) ~ (all_4_12 = e1)
% 76.51/11.47 (3) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12
% 76.51/11.47 = e0
% 76.51/11.47 (4) ~ (all_4_12 = e0)
% 76.51/11.47 (5) ~ (all_4_12 = e4)
% 76.51/11.47 (6) all_6_12 = all_4_12
% 76.51/11.47 (7) ~ (all_4_12 = e2)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (3) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (8) all_6_12 = e0
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #274.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (9) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (1), (2), (5), (6), (7), (9) are inconsistent by sub-proof #270.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #270 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) ~ (all_4_12 = e3)
% 76.51/11.47 (2) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 76.51/11.47 (3) ~ (all_4_12 = e1)
% 76.51/11.47 (4) ~ (all_4_12 = e4)
% 76.51/11.47 (5) all_6_12 = all_4_12
% 76.51/11.47 (6) ~ (all_4_12 = e2)
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (2) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (7) all_6_12 = e4
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (4), (5), (7) are inconsistent by sub-proof #273.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (8) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #271.
% 76.51/11.47 | |
% 76.51/11.47 | End of split
% 76.51/11.47 |
% 76.51/11.47 End of proof
% 76.51/11.47
% 76.51/11.47 Sub-proof #271 shows that the following formulas are inconsistent:
% 76.51/11.47 ----------------------------------------------------------------
% 76.51/11.47 (1) ~ (all_4_12 = e3)
% 76.51/11.47 (2) ~ (all_4_12 = e1)
% 76.51/11.47 (3) all_6_12 = all_4_12
% 76.51/11.47 (4) ~ (all_4_12 = e2)
% 76.51/11.47 (5) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1
% 76.51/11.47
% 76.51/11.47 Begin of proof
% 76.51/11.47 |
% 76.51/11.47 | BETA: splitting (5) gives:
% 76.51/11.47 |
% 76.51/11.47 | Case 1:
% 76.51/11.47 | |
% 76.51/11.47 | | (6) all_6_12 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | COMBINE_EQS: (3), (6) imply:
% 76.51/11.47 | | (7) all_4_12 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | SIMP: (7) implies:
% 76.51/11.47 | | (8) all_4_12 = e3
% 76.51/11.47 | |
% 76.51/11.47 | | REDUCE: (1), (8) imply:
% 76.51/11.47 | | (9) $false
% 76.51/11.47 | |
% 76.51/11.47 | | CLOSE: (9) is inconsistent.
% 76.51/11.47 | |
% 76.51/11.47 | Case 2:
% 76.51/11.47 | |
% 76.51/11.47 | | (10) all_6_12 = e2 | all_6_12 = e1
% 76.51/11.47 | |
% 76.51/11.47 | | REF_CLOSE: (2), (3), (4), (10) are inconsistent by sub-proof #272.
% 76.51/11.48 | |
% 76.51/11.48 | End of split
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48
% 76.51/11.48 Sub-proof #272 shows that the following formulas are inconsistent:
% 76.51/11.48 ----------------------------------------------------------------
% 76.51/11.48 (1) all_6_12 = e2 | all_6_12 = e1
% 76.51/11.48 (2) all_6_12 = all_4_12
% 76.51/11.48 (3) ~ (all_4_12 = e2)
% 76.51/11.48 (4) ~ (all_4_12 = e1)
% 76.51/11.48
% 76.51/11.48 Begin of proof
% 76.51/11.48 |
% 76.51/11.48 | BETA: splitting (1) gives:
% 76.51/11.48 |
% 76.51/11.48 | Case 1:
% 76.51/11.48 | |
% 76.51/11.48 | | (5) all_6_12 = e2
% 76.51/11.48 | |
% 76.51/11.48 | | COMBINE_EQS: (2), (5) imply:
% 76.51/11.48 | | (6) all_4_12 = e2
% 76.51/11.48 | |
% 76.51/11.48 | | SIMP: (6) implies:
% 76.51/11.48 | | (7) all_4_12 = e2
% 76.51/11.48 | |
% 76.51/11.48 | | REDUCE: (3), (7) imply:
% 76.51/11.48 | | (8) $false
% 76.51/11.48 | |
% 76.51/11.48 | | CLOSE: (8) is inconsistent.
% 76.51/11.48 | |
% 76.51/11.48 | Case 2:
% 76.51/11.48 | |
% 76.51/11.48 | | (9) all_6_12 = e1
% 76.51/11.48 | |
% 76.51/11.48 | | COMBINE_EQS: (2), (9) imply:
% 76.51/11.48 | | (10) all_4_12 = e1
% 76.51/11.48 | |
% 76.51/11.48 | | SIMP: (10) implies:
% 76.51/11.48 | | (11) all_4_12 = e1
% 76.51/11.48 | |
% 76.51/11.48 | | REDUCE: (4), (11) imply:
% 76.51/11.48 | | (12) $false
% 76.51/11.48 | |
% 76.51/11.48 | | CLOSE: (12) is inconsistent.
% 76.51/11.48 | |
% 76.51/11.48 | End of split
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48
% 76.51/11.48 Sub-proof #273 shows that the following formulas are inconsistent:
% 76.51/11.48 ----------------------------------------------------------------
% 76.51/11.48 (1) all_6_12 = all_4_12
% 76.51/11.48 (2) all_6_12 = e4
% 76.51/11.48 (3) ~ (all_4_12 = e4)
% 76.51/11.48
% 76.51/11.48 Begin of proof
% 76.51/11.48 |
% 76.51/11.48 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.48 | (4) all_4_12 = e4
% 76.51/11.48 |
% 76.51/11.48 | SIMP: (4) implies:
% 76.51/11.48 | (5) all_4_12 = e4
% 76.51/11.48 |
% 76.51/11.48 | REDUCE: (3), (5) imply:
% 76.51/11.48 | (6) $false
% 76.51/11.48 |
% 76.51/11.48 | CLOSE: (6) is inconsistent.
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48
% 76.51/11.48 Sub-proof #274 shows that the following formulas are inconsistent:
% 76.51/11.48 ----------------------------------------------------------------
% 76.51/11.48 (1) all_6_12 = all_4_12
% 76.51/11.48 (2) all_6_12 = e0
% 76.51/11.48 (3) ~ (all_4_12 = e0)
% 76.51/11.48
% 76.51/11.48 Begin of proof
% 76.51/11.48 |
% 76.51/11.48 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.48 | (4) all_4_12 = e0
% 76.51/11.48 |
% 76.51/11.48 | SIMP: (4) implies:
% 76.51/11.48 | (5) all_4_12 = e0
% 76.51/11.48 |
% 76.51/11.48 | REDUCE: (3), (5) imply:
% 76.51/11.48 | (6) $false
% 76.51/11.48 |
% 76.51/11.48 | CLOSE: (6) is inconsistent.
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48
% 76.51/11.48 Sub-proof #275 shows that the following formulas are inconsistent:
% 76.51/11.48 ----------------------------------------------------------------
% 76.51/11.48 (1) all_6_10 = all_4_2
% 76.51/11.48 (2) all_6_10 = e4
% 76.51/11.48 (3) ~ (all_4_2 = e4)
% 76.51/11.48
% 76.51/11.48 Begin of proof
% 76.51/11.48 |
% 76.51/11.48 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.48 | (4) all_4_2 = e4
% 76.51/11.48 |
% 76.51/11.48 | SIMP: (4) implies:
% 76.51/11.48 | (5) all_4_2 = e4
% 76.51/11.48 |
% 76.51/11.48 | REDUCE: (3), (5) imply:
% 76.51/11.48 | (6) $false
% 76.51/11.48 |
% 76.51/11.48 | CLOSE: (6) is inconsistent.
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48
% 76.51/11.48 Sub-proof #276 shows that the following formulas are inconsistent:
% 76.51/11.48 ----------------------------------------------------------------
% 76.51/11.48 (1) all_6_7 = all_4_11
% 76.51/11.48 (2) all_6_7 = e0
% 76.51/11.48 (3) ~ (all_4_11 = e0)
% 76.51/11.48
% 76.51/11.48 Begin of proof
% 76.51/11.48 |
% 76.51/11.48 | COMBINE_EQS: (1), (2) imply:
% 76.51/11.48 | (4) all_4_11 = e0
% 76.51/11.48 |
% 76.51/11.48 | SIMP: (4) implies:
% 76.51/11.48 | (5) all_4_11 = e0
% 76.51/11.48 |
% 76.51/11.48 | REDUCE: (3), (5) imply:
% 76.51/11.48 | (6) $false
% 76.51/11.48 |
% 76.51/11.48 | CLOSE: (6) is inconsistent.
% 76.51/11.48 |
% 76.51/11.48 End of proof
% 76.51/11.48 % SZS output end Proof for theBenchmark
% 76.51/11.48
% 76.51/11.48 10881ms
%------------------------------------------------------------------------------